Conformance report
phonometry’s key differentiator is not the feature list but the proof behind it: every metric is implemented from the governing standard’s text, and a numerical conformance report pins each check to a standard, a clause or table, the normative expected value and the value the library actually computes, with the delta and a pass/fail verdict.
The report is an auto-generated document, regenerated by CI on every pull
request (the build fails if it drifts from the code), so it is always in
sync with the released library. Every row below is rendered at build time from
docs/conformance.json,
the committed document the checks write; the same rows as a plain table are in
docs/CONFORMANCE.md.
How to read it
Section titled “How to read it”- Filter classes: the IEC 61260-1:2014 class verdict per filter architecture, with the measured relative attenuation at the governing band, the class-1 limit it must clear and the margin in dB.
- Frequency weightings: A/C (IEC 61672-1 Table 3) and G (ISO 7196 A.3) deviations from the nominal curves, judged at the governing frequency with the applicable tolerance band and headroom.
- Closest to their published limit: every check knows the limit it is judged against, so the ten that consume the largest fraction of theirs are listed first. A high figure is not a failure; it is the room the check passes with, and it is the number a tolerance table is really asking about.
- One conformance table per domain (levels, psychoacoustics, room and building acoustics, sound power, materials, vibration, uncertainty, …): the standard and clause, the quantity, the normative value, the value the library computes, the published limit, the deviation and how much of the limit it uses. Expected values come from the standards’ own worked examples or from closed forms synthesized to a known result.
Every domain section is collapsible and stays collapsed while all of its rows pass; a section with any failing row opens automatically. Search and the domain filter open whatever answers them. Every row has its own anchor, so a single check can be linked to directly. On narrow screens the wide tables scroll sideways inside their own box.
How it is generated
Section titled “How it is generated”The registry of checks lives in
scripts/conformance_report.py
and is run locally with make conformance, which writes
docs/conformance.json and renders docs/CONFORMANCE.md from it. Expected
values are single-sourced from the same reference tables the test suite
enforces, so the report and the tests cannot disagree silently. This page reads
the committed document and never generates it, and CI fails if the document
drifts from a fresh run of the checks.
For the design philosophy behind this approach, and a worked case study on IEC 61672-1 time weighting, see Why phonometry.
Re-deriving the standards this closely also turns up defects in the published documents themselves: worked examples that contradict their own normative clauses, misprinted constants, broken cross-references. Every confirmed case, with its evidence and what the library does about it, is recorded in the errata registry.
Verdict marks.PassBy designEach mark accompanies the word beside it and never replaces it, and the silhouettes differ as much as the colours do, so a reader who cannot separate the hues can still tell them apart.
The fraction of its published tolerance each check consumes. 100 % sits exactly on the limit, and a dash means the clause states no two-sided tolerance for the quantity, so there is no budget to spend. A high figure is not a failure: it is the room the check passes with, and it never decides the verdict, which is settled at full precision before any rounding.
The ten checks closest to their published limit
| Standard | Quantity | Deviation | Limit | Used |
|---|---|---|---|---|
| ISO/TR 17534-3:2015 Table 3 | Ground-projected path length dp, m | 0.005 m | ±0.005 m | 100 % |
| Long 2e Table 14.9 (worked duct-borne sheet, supply path) | Fan to room, 8 octave bands -> 52/42/30/18/9/-2/-2/-1 dB at the receiver | 1 dB | ±1 dB | 100 % |
| IEC 60268-16 Annex M | Step 2 printed intermediates: the measurement condition, row by row | 0.993 | ±1 | 99 % |
| VDI 2081 Blatt 2:2005 Table 1, element 14 | Bend flow noise, worst octave deviation, dB | 0.0496 dB | ±0.05 dB | 99 % |
| IEC 60268-16 Annex M | Step 3 printed intermediates: the operational condition, row by row | 0.987 | ±1 | 99 % |
| VDI 2081 Blatt 2:2005 Table 1, element 20 | Sound pressure level in room 102, worst octave deviation, dB | 0.4913 dB | ±0.5 dB | 98 % |
| ISO 5136:2003 Table D.1 | C3,4 of the sampling tube for d = 0,5 m at U = +/-5, +/-15, +/-30 m/s, 27 bands | 0.049 dB | ±0.05 dB | 98 % |
| ISO 9053-2:2020 Annex A.3 | Thermal boundary-layer thickness b | 0.00000485 m | ±0.00001 m | 97 % |
| Long, Architectural Acoustics 2e, Table 8.1 | Room modes of a 7 x 5 x 3 m room: the six printed frequencies, Hz | -0.126 Hz | ±0.13 Hz | 97 % |
| IEC 61094-2:2009 Table F.1 | Set B (20 C, 80 000 Pa, 65 % RH): rho, c0, kappa, eta and alpha_t, as a fraction of the rounding of the last printed figure | 0.96 | ±1 | 96 % |
IEC 61260-1:2014 class per filter architecture
| Architecture | Class verdict | Binding band | Measured rel. atten. | Class-1 limit | Margin cl.1 | Margin cl.2 |
|---|---|---|---|---|---|---|
| butter | Class 1 | 100 Hz | +0.00 dB | ≥ -0.40 dB | +0.400 dB | +0.600 dB |
| cheby1 | By design (passband ripple) | 6310 Hz | +0.19 dB | ≥ +1.44 dB | -1.246 dB | -0.837 dB |
| cheby2 | Class 1 | 100 Hz | +0.00 dB | ≥ -0.40 dB | +0.400 dB | +0.600 dB |
| ellip | By design (passband ripple) | 10000 Hz | +0.10 dB | ≥ +1.32 dB | -1.218 dB | -0.813 dB |
| bessel | By design (soft rolloff) | 100 Hz | +12.46 dB | ≥ +16.60 dB | -4.133 dB | -3.133 dB |
Frequency-weighting conformance
| Curve | fs | Max dev. from nominal (info) | Binding freq | Deviation there | Tolerance band | Headroom |
|---|---|---|---|---|---|---|
| A | 48 kHz | +0.050 dB @ 158 Hz | 1000 Hz | +0.000 dB | [-0.70, +0.70] dB | +0.700 dB |
| A | 96 kHz | +0.050 dB @ 158 Hz | 1000 Hz | +0.000 dB | [-0.70, +0.70] dB | +0.700 dB |
| C | 48 kHz | -0.049 dB @ 13 Hz | 1000 Hz | +0.000 dB | [-0.70, +0.70] dB | +0.700 dB |
| G | 48 kHz | +0.047 dB @ 1 Hz | 1 Hz | +0.047 dB | [-1.00, +1.00] dB | +0.953 dB |
No check matches the filter.
Filters & weightings12/12
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | IEC 61260-12014Table 1 | Octave-band filter class (butterworth, fs=48 kHz) | class 1 | class 1 (margin +0.400 dB) | - | +0.400 dB | - |
| Pass | IEC 61260-12014Table 1 | One-third-octave filter class (butterworth, fs=48 kHz) | class 1 | class 1 (margin +0.400 dB) | - | +0.400 dB | - |
| Pass | IEC 612601995/ ANSI S1.11-2004 Table 1 | Class 0 (strictest) octave-band filter (butterworth, fs=48 kHz) | class 0 | class 0 (margin +0.150 dB) | - | +0.150 dB | - |
| Pass | IEC 6511979Table V (via BS 5969:1981) | Type 0 (strictest) A-weighting tolerance mask (fs=48 kHz) | Type 0 | Type 0 (margin +0.650 dB) | - | +0.650 dB | - |
| Pass | IEC 6511979Table V (via BS 5969:1981) | Type 0 (strictest) C-weighting tolerance mask (fs=48 kHz) | Type 0 | Type 0 (margin +0.667 dB) | - | +0.667 dB | - |
| Pass | IEC 61260-12014Table F.1 | Formula (9) breakpoint mapping, b=3, Omega at G**(1/2) | 1.12202 | 1.12202 | ±0.00001 | -0.00000155 | 31 % |
| Pass | IEC 61672-12013Table 3 | A-weighting deviation vs class-1 limits (fs=48 kHz) | deviation within limits @ 1000 Hz | +0.000 dB in [-0.70, +0.70] dB | - | headroom +0.700 dB | - |
| Pass | IEC 61672-12013Table 3 | C-weighting deviation vs class-1 limits (fs=48 kHz) | deviation within limits @ 1000 Hz | +0.000 dB in [-0.70, +0.70] dB | - | headroom +0.700 dB | - |
| Pass | ISO 71961995Table 2 / A.3 | G-weighting deviation vs +/-1 dB tolerance (fs=48 kHz) | deviation within limits @ 1 Hz | +0.047 dB in [-1.00, +1.00] dB | - | headroom +0.953 dB | - |
| Pass | ANSI S1.41983Tables IV/V | B-weighting (historical) deviation vs Type 0 limits (fs=48 kHz) | deviation within limits @ 200 Hz | -0.049 dB in [-0.70, +0.70] dB | - | headroom +0.651 dB | - |
| Pass | IEC 610121990Table 1 / 2.2 | AU-weighting deviation vs separate-unit tolerances (fs=96 kHz) | deviation within limits @ 158 Hz | +0.051 dB in [-1.00, +1.00] dB | - | headroom +0.949 dB | - |
| Pass | IEC 5371976(withdrawn) via NASA CR-3406 Table SLD-I | D-weighting response vs the published tabulated curve (fs=48 kHz) | abs(response - table) <= 0.2 dB (0.45 dB at 1600/2500 Hz) | -0.281 dB @ 2500 Hz (bound 0.45 dB) | - | headroom +0.169 dB | - |
Humid air (IEC 61094-2:2009 Annex F)3/3
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | IEC 61094-22009Table F.1 | Set A (23 C, 101 325 Pa, 50 % RH): rho, c0, kappa, eta and alpha_t, as a fraction of the rounding of the last printed figure | 0 | 0.549 | ±1 | 0.549 | 55 % |
| Pass | IEC 61094-22009Table F.1 | Set B (20 C, 80 000 Pa, 65 % RH): rho, c0, kappa, eta and alpha_t, as a fraction of the rounding of the last printed figure | 0 | 0.96 | ±1 | 0.96 | 96 % |
| Pass | IEC 61094-22009Formula (F.5) | Thermal conductivity and specific heat capacity close the printed thermal diffusivity, alpha_t = k_a / (rho C_P) | 0.000021153 m²/s | 0.000021153 m²/s | ±1e-10% | 0 m²/s | 0.0 % |
Sea water (Ainslie 2010)3/3
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | Ainslie(2010)Eq. (4.6), printed folio 127 | Density of the standard ocean: 10 C, salinity 35, at the surface | 1027 kg/m³ | 1027.0439 kg/m³ | ±0.5 kg/m³ | 0.0439 kg/m³ | 8.8 % |
| Pass | Ainslie(2010)Eq. (4.11), printed folio 128 | Absolute static pressure at the surface is one atmosphere, not zero | 101989.16 Pa | 101989.16 Pa | ±0.00000100 Pa | 0 Pa | 0.0 % |
| Pass | Ainslie(2010)Eq. (4.6) vs printed folio 177 | The pressure term the book's own folio 177 drops: 4,3e-7 per pascal times one atmosphere | 0.0438549 kg/m³ | 0.0438549 kg/m³ | ±1.00e-12 kg/m³ | 8.55e-14 kg/m³ | 8.6 % |
Levels & dosimetry9/9
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | IEC 61672-12013(Leq) | Leq of a 1 Pa 1 kHz sine | 90.97 dB | 90.969 dB | ±0.05 dB | -0.001 dB | 2.0 % |
| Pass | IEC 612521993(LEX,8h) | 8 h exposure to 90 dB(A) noise | 90 dB | 89.999 dB | ±0.05 dB | -0.001 dB | 2.0 % |
| Pass | ISO 1996-120163.6.4 | Lden, constant 60 dB in day/evening/night | 66.3952 dB | 66.3952 dB | ±0.00000100 dB | 0 dB | 0.0 % |
| Pass | ISO 1996-22007Annex C.5 Example 1 | Tonal audibility ΔLta (Formula C.3), 4 kHz tone | 13.7 dB | 13.66 dB | ±0.05 dB | -0.044 dB | 88 % |
| Pass | ISO 1996-22007Annex C.5 Example 1 | Tonal adjustment Kt (Formulae C.4-C.6) | 6 dB | 6 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | ISO 1996-22017Annex G.2 | Combined measurement uncertainty u = √(Σ(cj·uj)²) | 2.18 dB | 2.18 dB | ±0.01 dB | -0.002 dB | 20 % |
| Pass | RD 1367/2007Annex IV A.3.4.2 b | Corrected period level LKeq,d (Manual Ejemplo 3.1: 3 noise phases, 12 h) | 57 dB | 57 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | RD 1367/2007Annex I A.2 d | Long-term level LK,d (Manual Ejemplo 3.2: 303 operating days of 365) | 56 dB | 56 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | RD 1367/2007Annex III Table B1, Article 25 | Activity verdict (Manual Ejemplo 3.3: area type a, LK,d 56 dB over 55 dB) | phase and daily pass, annual fails, activity not compliant | phase and daily pass, annual fails, activity not compliant | - | - | - |
Room & building acoustics84/84
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | CTE DB-HRAnnex A, Formula (A.5) | Global index R'A for pink noise (Manual Ejemplo 7.2) | 51.4 dBA | 51.4 dBA | ±0.05 dBA | 0 dBA | 0.0 % |
| Pass | CTE DB-HRAnnex A, Formula (A.6) | Global index D2m,nT,Atr for road traffic (Manual Ejercicio 7.1) | 32.8 dBA | 32.8 dBA | ±0.05 dBA | 0 dBA | 0.0 % |
| Pass | Manual de acustica ambiental y arquitectonica,Ejemplo 7.1 | Reported R'A of the field-test wall (printed 51 dBA = R'w 52 + C -1) | 51 dBA | 51 dBA | ±1.00e-9 dBA | 0 dBA | 0.0 % |
| Pass | Manual de acustica ambiental y arquitectonica,Ejemplo 7.1 | Reported R'A,tr of the same wall (printed 47 dBA = R'w 52 + Ctr -5) | 47 dBA | 47 dBA | ±1.00e-9 dBA | 0 dBA | 0.0 % |
| Pass | CTE Catalogode Elementos Constructivos | Window size correction of RA (Manual Ejemplo 7.4: 4 m2 window, -2 dB) | 24 dBA | 24 dBA | ±1.00e-9 dBA | 0 dBA | 0.0 % |
| Pass | ISO 3382-220085.3.3 | T30 from a synthetic exponential decay (T=1.0 s) | 1 s | 1 s | ±1% | -4.65e-11 s | 0.0 % |
| Pass | ISO 182332006(swept-sine method) | Sweep deconvolution recovers a known IIR response | 0 dB in-band error (+/-0.1 dB) | 0.0006 dB | ±0.1 dB | 0.0006 dB | 0.6 % |
| Pass | ISO 717-1Annex C, Table C.1 | Weighted sound reduction index Rw (C;Ctr) | Rw 30 (C -2; Ctr -3) | Rw 30 (C -2; Ctr -3), unfavourable sum 31.8 dB | ±0 | 0 | 0.0 % |
| Pass | ISO 717-12020Annex C, Table C.2 | Enlarged range 50-5000 Hz: Rw (C; Ctr; C50-5000; Ctr,50-5000) | Rw 30 (C -2; Ctr -3; C50-5000 -2; Ctr,50-5000 -4) | Rw 30 (C -2; Ctr -3; C50-5000 -2; Ctr,50-5000 -4) | - | exact | - |
| Pass | ISO 717-2Annex C, Table C.1 | Weighted impact sound pressure level Ln,w (CI) | Ln,w 79 (CI -11; sum 28.0 dB) | Ln,w 79 (CI -11; sum 28.0 dB) | - | +0 dB | - |
| Pass | ISO 717-2Annex C, Table C.1 (covered) | Weighted impact level of the floor WITH covering Ln,w (CI) | Ln,w 64 (CI -3; sum 30.0 dB) | Ln,w 64 (CI -3; sum 30.0 dB) | - | +0 dB | - |
| Pass | ISO 717-2Annex C, Table C.2 | Floor-covering improvement ΔLw and CI,Δ (Formulae (2)/(A.4); CI,Δ from the normative Table 4 floor, not the 2020 print's misprinted C.2 chain) | ΔLw 15 dB; CI,Δ -9 dB (Table 4 reference floor) | ΔLw 15 dB; CI,Δ -9 dB | - | +0 dB | - |
| Pass | ISO 3542003Eq. 5/8 | Sabine inversion recovers absorption area | 9.212828 m² | 9.212828 m² | ±1.00e-9 m² | 0 m² | 0.0 % |
| Pass | ISO 3382-32012Clause 6.2 | Open-plan spatial decay rate D2,S (-6 dB/doubling) | 6 dB | 6 dB | ±1.00e-9 dB | -7.11e-15 dB | 0.0 % |
| Pass | ISO 16283-32016Clause 3.12 | Facade R'45 isolates the -1.5 dB incidence correction (S=A) | 38.5 dB | 38.5 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | ISO 16283-12014Clause 8.1 / -2:2020 Clause 8.1 / -3:2016 Clause 7.3.1 | Low-frequency trigger: V < 25 m³ to the nearest cubic metre | 7/7 room volumes on either side of 25 m³ | 7/7 room volumes on either side of 25 m³ | ±0 | 0 | 0.0 % |
| Pass | ISO 16283-12014Clause 5 / -2:2020 Clause 5.1 / -3:2016 Clause 5 | Low-frequency band set is 50 Hz, 63 Hz and 80 Hz | band 1 = 50 Hz; band 2 = 63 Hz; band 3 = 80 Hz | band 1 = 50 Hz; band 2 = 63 Hz; band 3 = 80 Hz | ±0 Hz | 0 Hz | 0.0 % |
| Pass | ISO 16283-12014Formula (12) / -2:2020 Formula (15) | Corner level is the highest corner per band, energy-averaged over q | Formula (12) over q = 2 positions (closed form) | max deviation 0.000000000 dB | ±0.000000001 dB | 1.42e-14 dB | 0.0 % |
| Pass | ISO 16283-12014Formula (13) / -2:2020 (16) / -3:2016 (5) | L_LF combines the corner and default levels one third to two thirds | the printed Formula (13) (closed form) | max deviation 0.000000000 dB | ±0.000000001 dB | 0 dB | 0.0 % |
| Pass | ISO 16283-12014Formula (13) / -2:2020 (16) / -3:2016 (5) | L_LF degenerates to L when the corner level equals it | L_LF = L for L_Corner = L (closed form) | max deviation 0.000000000000 dB | ±0.000000000001 dB | 0 dB | 0.0 % |
| Pass | ISO 16283-12014Formula (13) / -2:2020 (16) / -3:2016 (5) | L_LF floor at 10 lg(2/3) below L as the corners fall silent | 48.239087 dB (+/-1e-09 dB, closed form) | 48.239087 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | ISO 16283-12014Formula (13) / -2:2020 (16) / -3:2016 (5) | L_LF rises strictly with the corner level, over 80 dB of it | 400/400 steps rising with the corner level (closed form) | 400/400 steps rising with the corner level | ±0 | 0 | 0.0 % |
| Pass | ISO 16283-12014Clause 10.4 / -2:2020 Clause 10.4 / -3:2016 Clause 8.4 | 63 Hz octave T replaces exactly the 50 Hz, 63 Hz and 80 Hz bands | 5/5 reverberation-time bands | 5/5 reverberation-time bands | ±0 | 0 | 0.0 % |
| Pass | ISO 16283-12014(13) / -2:2020 (16) / -3:2016 (5) | Airborne, impact and facade run one low-frequency implementation | 3/3 parts reaching the same L_LF | 3/3 parts reaching the same L_LF | ±0 | 0 | 0.0 % |
| Pass | ISO 10140-22010Formula (2) | Lab airborne R on the ISO 717-1 reference shape -> Rw = 54 | Rw 54 dB | Rw 54 dB | - | +0 dB | - |
| Pass | ISO10140-5:2010+A1 Annex B, Table B.1 | Reference elements end-to-end: printed Rw (C; Ctr) of all three | Rw(C;Ctr) = 53(-1;-5) / 52(-1;-5) / 33(-1;-2) | 53(-1;-5) / 52(-1;-5) / 33(-1;-2) | - | exact | - |
| Pass | ISO10140-5:2010+A1 Annex C, Table C.1 | Reference floors end-to-end: printed Ln,t,r,0,w (CI) of both | Ln,t,r,0,w(CI) = 72(0) / 75(-3) | 72(0) / 75(-3) | - | exact | - |
| Pass | ISO 15186-12000Formula (7) | Intensity RI on the ISO 717-1 reference shape -> RI,w = 30 | RI,w 30 dB (scalar anchor RI = 34 dB) | RI,w 30 dB (RI = 34 dB) | - | +0 dB | - |
| Pass | ISO 15186-12000Annex B, Table B.1 | Adaptation term Kc: all 21 printed rows; (B.1) reduces to (B.2) | max abs(Kc - Table B.1) <= 0,05 dB (1 dp print) | 0.047 dB (B.1 vs B.2: 4.33e-04 dB) | - | 0.047 dB | - |
| Pass | ISO 15186-32002Annex A, Table A.1 | Limp-panel qualification: the printed plaster-board column | max abs(R - Table A.1) <= 0,05 dB (1 dp print) | 0.050 dB over 50 Hz to 160 Hz | - | 0.050 dB | - |
| Pass | ISO 15186-32002Formula (7) | Low-frequency RI subtracts 9 dB, three more than part 1 | RI = 15 dB, 3 dB below part 1; FpI = 8 dB qualifies at 10 not 6 | RI = 15 dB, part 1 - part 3 = 3 dB | - | +0.000 dB | - |
| Pass | ISO 15186-32002Clause 3.9, Formula (8) | Low-frequency DI,n,e; the series' own +10 lg N sign | DI,n,e = 21 dB; N = 4 adds 6.021 dB | 21 dB; N = 4 adds 6.021 dB | - | +8.882e-16 dB | - |
| Pass | ISO 100522021Clause 3.6 | Survey R' applies the V/7,5 minimum-area rule | 26.197888 dB | 26.197888 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | ISO 100522021Clause 3.16 | Service-equipment LXY is the 3-position energy average | 32.823329 dB | 32.823329 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | ISO 100522021Table 4 | Reverberation-index estimate (35 <= V < 60, type g) | k = [4.5, 5.0, 5.5, 5.5, 5.5] dB | k = [4.5, 5.0, 5.5, 5.5, 5.5] dB | - | exact | - |
| Pass | ISO 717-22020Table 4 / Clause 5.2 | Reference-floor weighted level Ln,r,0,w and CI (ISO 16251-1 ΔLw anchor) | Ln,r,0,w = 78 dB, CI = -11 dB | Ln,r,0,w = 78 dB, CI = -11 dB | - | exact | - |
| Pass | ISO 16251-12014/ ISO 717-2 Formula (2) | Floor-covering ΔLw: zero improvement gives ΔLw = 0 | ΔLw = 0 dB (ΔL = 0 -> Ln,r = Ln,r,0) | ΔLw = 0 dB | - | exact | - |
| Pass | ISO 16251-1/ ISO 717-2 (Foret et al. 2011, carpet) | Measured textile-carpet improvement rates to ΔLw = 29 dB | ΔLw = 29 dB (paper, ISO 16251-1) | ΔLw = 29 dB | - | +0 dB | - |
| Pass | ISO 10848-12006Formula (14) | Flanking Kij (simplified) matches closed form | Kij = 1.9897 dB | Kij = 1.9897 dB | - | exact | - |
| Pass | ISO 10848-12006Formula (12) | Flanking equivalent absorption length aj at f_ref | aj = 1.2661 m | aj = 1.2661 m | - | exact | - |
| Pass | ISO 10848-12006Clause 7.3.1 | Flanking total loss factor η = 2,2/(f·Ts) | η = 0.0044 | η = 0.0044 | - | exact | - |
| Pass | ISO 12354-12017Formula (20) vs Hopkins Eq. 2.201 (6 mm glass) | Flanking critical frequency (c0²/1,8·cL·h) vs plate coincidence (c0²/2π · sqrt(m''/B')) | 2107.4 Hz | 2123.5 Hz | ±1% | 16.156 Hz | 77 % |
| Pass | EN 29052-11992Formula 4 | Apparent dynamic stiffness s't = 4π²·m't·fr² (m't=200 kg/m², fr=25 Hz) | 4.934802 MN/m³ | 4.934802 MN/m³ | ±0.000001 MN/m³ | 0 MN/m³ | 0.0 % |
| Pass | EN 29052-11992clause 8.2 NOTE | Enclosed-gas stiffness s'a·d = 111 MN·mm/m³ (p₀=0,1 MPa, ε=0,9) | 5.55556 MN/m³ | 5.55556 MN/m³ | ±0.0001 MN/m³ | 5.56e-9 MN/m³ | 0.0 % |
| Pass | EN 29052-11992Formula 2 | Floating-floor natural frequency f0 = (1/2π)√(s'/m') (s'=10 MN/m³, m'=100 kg/m²) | 50.32921 Hz | 50.32921 Hz | ±0.00000100 Hz | 0 Hz | 0.0 % |
| Pass | ISO 7626-12011Table 1 / 3.1.2 | Closed-form SDOF driving-point mobility peak mag(Y(f0)) = 1/c (c=5 N·s/m) | 0.2 m/(N·s) | 0.2 m/(N·s) | ±0.000001 m/(N·s) | 2.78e-17 m/(N·s) | 0.0 % |
| Pass | ISO 7626-12011Table 1 / 3.1.2 | Closed-form SDOF static receptance H(0) = 1/k (k=8000 N/m) | 0.000125 m/N | 0.000125 m/N | ±0.0001% | 1.25e-18 m/N | 0.0 % |
| Pass | ISO 7626-12011Table 1 | FRF reciprocity: impedance × mobility = 1 (at 37 Hz) | 1 (= Z·Y) | 1 | ±1.00e-9 | 2.22e-16 | 0.0 % |
| Pass | ISO 717-22020Table D.4 | A-weighted maximum impact level LiA,Fmax of the Annex D worked example | 55,350 66... dB (rated 55 dB) | 55.350668 dB | ±0.0001 dB | 0.000001 dB | 1.0 % |
| Pass | ISO 16283-22020Table A.1 / JIS A 1418-2:2019 Table A.2 | Rubber-ball impact force exposure level LFE, five octave bands | 39,0 / 31,0 / 23,0 / 17,0 / 12,5 dB re 1 N at 31,5 to 500 Hz | 39 / 31 / 23 / 17 / 12,5 dB re 1 N | - | max |dev| 0.000 dB | - |
| Pass | ISO 16283-22020Formulae (4), (5), (6) | Standardized maximum impact level reduces to 10 lg(V/V0) at T = T0 | 73,0103 dB (= 70 + 10 lg(100/50)) | 73.0103 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | ASTM E413-22clause 5 (ASTM E1414 CAC) | Ceiling attenuation class of two accredited E1414 test reports | CAC 34 (ALA 16-091-4); CAC 25, sum 24 dB (Intertek J7488.04) | CAC 34; CAC 25, sum 24.0 dB | - | exact | - |
| Pass | ISO 140-91985clause 3.3 | Normalized ceiling attenuation Dn,c = D - 10 lg(A/A0), A0 = 10 m2 | 43.0103 dB | 43.0103 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | Vigran(2008)Eqs. (9.18)-(9.20) | Plenum model: Eq. (9.18) converges to Eq. (9.20) as the damping vanishes | Eq. (9.20) value, reproduced by Eq. (9.18) | 139.5682 dB | ±0.001 dB | 0.0004 dB | 40 % |
| Pass | Hopkins(2007)Eq. 4.89 / Fig. 4.35 | Mass-spring-mass resonance of a masonry cavity wall without and with ties | 26 Hz (no ties) / 50 Hz (2,5 ties/m2, k = 2 MN/m) | 26.15 Hz / 49.93 Hz | - | +0.15 / -0.07 Hz | - |
| Pass | Hopkins(2007)Table A4 | Dynamic stiffness of four wall ties (butterfly, double-triangle, twist) | 1,7 / 16,1 / 94,0 MN/m at 50 mm; 43,4 MN/m at 100 mm | 1.7 / 16.1 / 94 / 43.4 MN/m | - | exact | - |
| Pass | ISO 10846-220083.17 | Transfer-stiffness level Lk = 20 lg(|k|/k0), k0 = 1 N/m (|k| = 1 MN/m) | 120 dB | 120 dB | ±0.00000100 dB | 0 dB | 0.0 % |
| Pass | ISO 10846-32002Formula (1) | Indirect method k2,1 = -(2πf)²·m2·T (f=500 Hz, m2=10 kg, T=0,01) | -986960.4 N/m | -986960.4 N/m | ±0.1% | 0 N/m | 0.0 % |
| Pass | ISO 10846-12008Table A.2 | FRF relation k = jω·Z at 250 Hz (|k| recovered from impedance) | 1001249.2 N/m | 1001249.2 N/m | ±0.0001% | 0 N/m | 0.0 % |
| Pass | ISO 7626-220157.5.2 | Rigid-mass calibration: accelerance mag(A) = 1/m (m=10 kg) | 0.1 1/kg | 0.1 1/kg | ±1.00e-9 1/kg | 0 1/kg | 0.0 % |
| Pass | ISO 7626-220157.5.2 | Rigid-mass calibration: mobility mag(Y) = 1/(2πf·m) at 100 Hz (m=10 kg) | 0.0001592 m/(N·s) | 0.0001592 m/(N·s) | ±0.001% | -5.69e-11 m/(N·s) | 3.6 % |
| Pass | ISO 7626-22015Annex A | Normalized random error ε = √((1−γ²)/(2nγ²)): γ²=0,8, n=75 → 4,08 % (< 5 %) | 4.08 % | 4.08 % | ±0.01 % | 0.002 % | 40 % |
| Pass | ISO 7626-12011Table 1 | Rigid 1 kg mass at ω = 1000 rad/s: mobility 1e-3, compliance 1e-6 (decades) | 0.001 m/(N·s) | 0.001 m/(N·s) | ±1e-7% | 0 m/(N·s) | 0.0 % |
| Pass | ISO 10846-320026.1 Inequality (2) | Indirect-method validity limit mag(T) = 0,1 ↔ ΔL1,2 = 20 dB | 20 dB | 20 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | ISO 10846-320026.1 | Model bias at the validity limit: k_ind/k = 1,1 (0,83 dB ≤ 1 dB, 10 % ≤ 12 %) | 1.1 | 1.1 | ±1e-7% | 0 | 0.0 % |
| Pass | ISO 10846-12008Equation (6) | Delivered/blocking force F2/F2,b = 1/1,1 at mag(k2,2/kt) = 0,1 (within 10 %) | 0.9091 | 0.9091 | ±1.00e-9 | 0 | 0.0 % |
| Pass | ISO 10846-22008/ -3:2002 7.6 | Linearity: ΔLk ≤ 1,5 dB for input spectra 10 dB apart (linear element: 0) | ΔLk ≤ 1,5 dB (7.6 c) | 0 dB | ±1.5 dB | 0 dB | 0.0 % |
| Pass | ISO/TS 7849-12009Formula (8) | Calibration L_v from â = 9,81 m/s² at 100 Hz (standard's EXAMPLE) | 106.9 dB | 106.9 dB | ±0.1 dB | -0.02 dB | 40 % |
| Pass | ISO/TS 7849-22009Formula (15) | L_W from L_v via measured radiation factor = 10 lg(P/P0) (round-trip) | 84.771 dB | 84.771 dB | ±0.00000100 dB | 0 dB | 0.0 % |
| Pass | ISO/TS 7849-12009Formula (12) | Impedance term: L_W − L_v = 10 lg(411/400) at ε = 1, S = S0 | 0.1178 dB | 0.1178 dB | ±1.00e-9 dB | -2.50e-15 dB | 0.0 % |
| Pass | EN 156572018Formula (14) | Reception-plate L_Ws = resonant-plate power P = ωη(mS)⟨v²⟩ (round-trip) | 55.545 dB | 55.545 dB | ±0.00000100 dB | -7.11e-15 dB | 0.0 % |
| Pass | EN 156572018Formula (13) | Plate loss factor η = 2,2/(f·Ts) at 1 kHz, Ts = 0,3 s | 0.0073 | 0.0073 | ±1.00e-9 | 0 | 0.0 % |
| Pass | EN 156572018Formulae (15)/(17) + EN 12354-5 Annex I.3 | Source conversion chain reproduces Table I.8 (wall, installed) | max abs(L_Ws,inst - Table I.8) <= 0,15 dB | 0.055 dB | ±0.15 dB | 0.055 dB | 37 % |
| Pass | ISO 96111996eq. (9) | Mean free velocity level (energy mean, v0 = 5e-8 m/s) | 72.3017 dB | 72.3017 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | ISO 12354-12017Annex L, Tables L.2 to L.4 | In-situ element chain: 10 lg sigma, 10 lg sigma_f, eta_tot, Rsitu, a_situ (21 bands x 5 elements) | 0 dB | 0.057 dB | ±0.1 dB | 0.057 dB | 57 % |
| Pass | ISO 12354-12017Annex L, Table L.1 | Detailed airborne model: 13 paths + R' per band, R'w = 57 dB | max path/total dev <= 0,1 dB; R'w = 57 dB | 0.055 dB; 57 dB | - | 0.055 dB | - |
| Pass | ISO 12354-22017Annex G, Tables G.3, G.4 and G.1 | Detailed impact model: Ln,situ, Ln,Dd, Ln,Df, L'n per band, L'n,w = 41 dB | max path/total dev <= 0,1 dB; L'n,w (CI) = 41 (2) dB | 0.077 dB; 41 (2) dB | - | 0.077 dB | - |
| Pass | Hopkins(2007)3.6.3.1 / 4.4.3.1, printed pp. 276-282 and 513-514 | Tapping machine: vo, cut-off frequencies fco of a bare slab and two soft coverings (7 000 / 2 300 / 100 Hz) | 0 | 0.0077 | ±0.02 | 0.0077 | 39 % |
| Pass | Hopkins(2007)Figs. 3.30/3.31 and 4.73, printed pp. 281 and 524 | Over/under-critical case of four walking surfaces; double floating-floor resonances 74 Hz and 195 Hz | 4/4 critical cases; fmsms = 74 / 195 Hz (+/-2%) | 4/4; 74.1 / 194.0 Hz | - | 0.53% | - |
| Pass | ISO 12354-22017Annex C / Annex G Table G.4 | Floating floor: fo = 160 sqrt(s'/m') = 52,8 Hz, DeltaL = 30 lg(f/fo) over 21 bands, DeltaLw = 32,2 dB | 0 dB | 0.048 dB | ±0.05 dB | 0.048 dB | 96 % |
| Pass | ISO 12354-12017Annex D / Hopkins (2007) Fig. 4.48, printed p. 486 | Lining resonance (Formula D.1) 542 Hz and the Table D.1 improvement branches | fo = 542 Hz (+/-1%); 8/8 Table D.1 rows | 541.9 Hz; 8/8 | - | 0.02% | - |
| Pass | EN 12354-52009Formula (19b/19c) | Coupling term → force-source limit 10 lg(mag(Ys)/Re{Yi}) as mag(Ys) ≫ mag(Yi) | 40 dB | 40.001 dB | ±0.01 dB | 0.001 dB | 10 % |
| Pass | EN 12354-52009Annex I.3, Table I.9 | Flushing cistern: four paths + Formula (17) total -> 29 dB(A) | max path/total dev <= 0.15 dB; total 29 dB(A) | 0.055 dB; 29.3 dB(A) | - | 0.055 dB | - |
| Pass | EN 12354-52009Annex I.2, Table I.6a | Whirlpool floor component: mobility correction + path 11 | max abs(dev vs Table I.6a) <= 0,15 dB | 0.1 dB | ±0.15 dB | 0.1 dB | 67 % |
Room acoustics16/16
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | Sabine (W. C. Sabine, 1922) | Reverberation time T = k·V/A (V=120 m³, S=158 m², α=0.2) | 0.611825 s | 0.611825 s | ±0.000001 s | 4.25e-11 s | 0.0 % |
| Pass | Long, Architectural Acoustics2eTable 8.1 | Room modes of a 7 x 5 x 3 m room: the six printed frequencies, Hz | 42.4 Hz | 42.27 Hz | ±0.13 Hz | -0.126 Hz | 97 % |
| Pass | Long, Architectural Acoustics2eEq. (8.46) | Modal density of a 7 x 5 x 3 m room at 1 kHz = 34 modes/Hz | 34 modes/Hz | 34.32 modes/Hz | ±0.5 modes/Hz | 0.32 modes/Hz | 64 % |
| Pass | Long, Architectural Acoustics2eEq. (17.51) | Restaurant self-noise, 20 talkers over 20 metric sabins = 76 dB | 76 dB | 76.021 dB | ±0.05 dB | 0.021 dB | 42 % |
| Pass | Long, Architectural Acoustics2eEq. (17.54) | Privacy bound A_tab < 3.16 rt^2 (Q = 2, L_SN = -9 dB) | 3.16 m² | 3.164 m² | ±0.005 m² | 0.004 m² | 80 % |
| Pass | Everest, Master Handbook of Acoustics4th edFig. 7-22 | Sabine RT, worked Example 1 @ 1 kHz (untreated 23.3×16×10 ft room, SI) | 3.39 s | 3.402 s | ±0.02 s | 0.012 s | 60 % |
| Pass | Eyring (Norris-Eyring, 1930) | Reverberation time T = k·V/(-S·ln(1-ᾱ)) (α=0.2) | 0.548369 s | 0.548369 s | ±0.000001 s | -4.34e-11 s | 0.0 % |
| Pass | Arau-Puchades (Acustica 65, 1988,Formula 18) | T (α=0.5/0.1/0.1 per wall pair, dims 8×5×3 m) | 0.812147 s | 0.812147 s | ±0.000001 s | 4.47e-11 s | 0.0 % |
| Pass | Model identity (uniform absorption) | Arau-Puchades ≡ Eyring when ᾱ is uniform | 0.548369 s (= Eyring) | 0.548369 s | ±1.00e-9 s | 0 s | 0.0 % |
| Pass | Vorlander Auralization2eEq. (11.38)-(11.39) | Image-source direct-sound amplitude 1/(4πr) and delay r/c (r = 4 m) | 0.0198944 | 0.0198944 | ±1.00e-9 | 0 | 0.0 % |
| Pass | Kuttruff Room Acoustics6eEq. (9.23) | Audible shoebox image count up to order 10 (= 1560) | 1560 | 1560 | ±0 | 0 | 0.0 % |
| Pass | Kuttruff Room Acoustics6eEq. (4.6) | Temporal reflection density dN/dt = 4πc³t²/V (t = 0.1 s, V = 120 m³) | 42258.2 1/s | 42258.2 1/s | ±0.00000100 1/s | 0 1/s | 0.0 % |
| Pass | Bies Engineering Noise Control5eEq. (6.44) | Room constant R = Sᾱ/(1-ᾱ) (S = 100 m², ᾱ = 0.2 → 25 m²) | 25 m² | 25 m² | ±1.00e-9 m² | 0 m² | 0.0 % |
| Pass | Bies Engineering Noise Control5eEq. (6.43) | Critical distance rc: direct field = reverberant field (R = 25, Q = 1) | 0.160000 (= reverberant term) | 0.16 | ±1.00e-9 | 2.78e-17 | 0.0 % |
| Pass | Kuttruff Room Acoustics6eEq. (3.44) | Schroeder frequency f_s = 2000√(T/V) (V = 200 m³, T = 1 s) | 141.421 Hz | 141.421 Hz | ±0.00000100 Hz | 0 Hz | 0.0 % |
| Pass | Bies Engineering Noise Control5eEq. (6.43) | Steady-state SPL Lp = Lw + 10lg(Q/4πr² + 4/R) (Lw=90, r=1, R=25, Q=1) | 83.7945 dB | 83.7945 dB | ±0.00000100 dB | 0 dB | 0.0 % |
Psychoacoustics14/14
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | Moore, Psychology of Hearing6ep. 77 (Glasberg & Moore 1990) | ERB_N number of 1000 Hz = 15.59 Cam | 15.59 Cam | 15.5932 Cam | ±0.005 Cam | 0.0032 Cam | 64 % |
| Pass | Moore, Psychology of Hearing6ep. 76 (Glasberg & Moore 1990) | ERB_N at 1 kHz vs the printed 24.7(4.37F + 1), Hz | 132.639 Hz | 132.445 Hz | ±0.3% | -0.194 Hz | 49 % |
| Pass | ISO 532-12017Annex B.2 | Zwicker loudness N, stationary test signal 1 | 83.2957 sone (+/-0.1%) | 83.2957 sone | - | 0 sone | - |
| Pass | ISO 532-12017Annex B.5 | Time-varying loudness Nmax, technical signal 14 (aircraft, free field) | 22.6399 sone | 22.6399 sone | ±0.1% | 0.00000792 sone | 0.0 % |
| Pass | ISO 532-12017Annex B.5 | Time-varying loudness Nmax, technical signal 15 (vehicle interior, diffuse field) | 9.6059 sone | 9.6059 sone | ±0.1% | -0.0000308 sone | 0.3 % |
| Pass | DIN 456922009Clause 6 | Sharpness of the standard 1 kHz reference signal | 1 acum | 1 acum | ±1.00e-9 acum | 0 acum | 0.0 % |
| Pass | DIN 456922009Table A.2 | Sharpness of critical-band noise at 2.5 kHz (2320-2700 Hz, 4 sone) | 1.78 acum | 1.747 acum | ±0.089 acum | -0.033 acum | 37 % |
| Pass | ISO 2262023Table B.1 | Equal-loudness contour, 60 phon @ 100 Hz | 78.5 dB SPL | 78.504 dB SPL | ±0.05 dB SPL | 0.004 dB SPL | 8.0 % |
| Pass | ECMA-418-22025Clause 5.1.8 | HMS loudness of a 1 kHz / 40 dB tone (c_N=0.0211964) | 1 sone_HMS | 0.9843 sone_HMS | ±0.03 sone_HMS | -0.0157 sone_HMS | 52 % |
| Pass | ECMA-418-22025Clause 6.2.8 | HMS tonality of a 1 kHz / 40 dB tone (c_T=2.8758615) | 1 tu_HMS | 0.9998 tu_HMS | ±0.03 tu_HMS | -0.0002 tu_HMS | 0.7 % |
| Pass | ECMA-418-22025Clause 7 | HMS roughness of a 1 kHz / 70 Hz / m=1 / overall 60 dB tone (c_R=0.0180685) | 1 asper | 0.9999 asper | ±0.01 asper | -0.0001 asper | 1.0 % |
| Pass | ISO 532-22017Clause 3.17 / Annex B.1 | Moore-Glasberg loudness of a 1 kHz / 40 dB tone (C=0.0617) | 1 sone | 1.0001 sone | ±0.01 sone | 0.0001 sone | 1.0 % |
| Pass | ISO 532-32023Annex C.1 | Moore-Glasberg-Schlittenlacher peak LTL, steady 1 kHz / 40 dB | 1 sone | 0.9996 sone | ±0.02 sone | -0.0004 sone | 2.0 % |
| Pass | ECMA-418-22025Clause 9 | HMS fluctuation strength of a 1 kHz / 4 Hz / m=1 / overall 60 dB tone (c_F=0.003840572) | 1 vacil_HMS | 0.9931 vacil_HMS | ±0.01 vacil_HMS | -0.0069 vacil_HMS | 69 % |
Speech transmission (IEC 60268-16)14/14
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | IEC 60268-162020A.2.2 | STI weighting-factor pair (500 Hz + 1 kHz bands) | 0.398 | 0.398 | ±0.001 | 0 | 0.0 % |
| Pass | IEC 60268-162020A.3.1.2 | Uniform MTF m=0.5 maps to STI=0.5 | 0.5 | 0.5 | ±0.01 | 0 | 0.0 % |
| Pass | IEC 60268-16Annex M | Full-STI worked example: printed MTF + speech/noise spectra -> STI | STI 0.76 (MTI row of step 4c) | STI 0.758 (max MTI dev 0.00) | - | -0.002 | - |
| Pass | IEC 60268-16Annex M | Occupancy-noise adjustment: measured MTF and four level spectra -> STI | STI 0.76 (step 3 matrix, step 4 STI) | STI 0.758 (max MTF dev 0.0009) | - | -0.002 | - |
| Pass | IEC 60268-16Annex M | Step 2 printed intermediates: the measurement condition, row by row | every printed row of step 2 rounds as tabulated | worst row: amf in dB, 0.99 of its last printed place | ±1 | 0.993 | 99 % |
| Pass | IEC 60268-16Annex M | Step 3 printed intermediates: the operational condition, row by row | every printed row of step 3 rounds as tabulated | worst row: amf in dB, 0.99 of its last printed place | ±1 | 0.987 | 99 % |
| Pass | IEC 60268-16Annex M | Step 4a printed intermediates: 98 effective signal-to-noise ratios | all 98 printed effective SNRs | worst cell 0.074 dB from its printed value | ±0.08 dB | 0.074 dB | 93 % |
| Pass | IEC 60268-162020C.3.2 | STIPA direct method, Formula (C.1) signal at m=0.2 | 0.3 | 0.2992 | ±0.01 | -0.0008 | 8.0 % |
| Pass | IEC 60268-162020C.3.2 | STIPA direct method, Formula (C.1) signal at m=0.5 | 0.5 | 0.4998 | ±0.01 | -0.0002 | 2.0 % |
| Pass | IEC 60268-162020C.3.2 | STIPA direct method, Formula (C.1) signal at m=0.8 | 0.7 | 0.7002 | ±0.01 | 0.0002 | 2.0 % |
| Pass | IEC 60268-162020C.3.3 | Indirect method: exponential decay RT60=1 s vs Schroeder MTF | 0.5885 | 0.5885 | ±0.005 | 0.0000266 | 0.5 % |
| Pass | IEC 60268-162020C.4.2 | Filter-bank slope: +41 dB unmodulated tone one octave below 125 Hz | m >= 0.5 (C.4.2 pass criterion) | 0.9812 | [0.5, +∞] | 0.981 | - |
| Pass | IEC 60268-162020A.2.2 (audio path) | Weighting factors: modulated 500 Hz + 1 kHz pair through stipa() | 0.398 | 0.398 | ±0.005 | 0 | 0.0 % |
| Pass | IEC 60268-162020A.3.1.2 (audio path) | Filter-bank phase: half-octave edge carriers at TI=0.9 | 0.9 | 0.8975 | ±0.01 | -0.0025 | 25 % |
System measurement (Golay / Kirkeby / Mueller-Massarani)5/5
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | Havelock2008Part I Ch. 6 (Xiang), Eq. (2) | Golay pair: sum of periodic autocorrelations = 2L*delta (L = 4096) | 0 (algebraic identity, +/-1e-10) | 4.55e-13 | ±1.00e-10 | 4.55e-13 | 0.5 % |
| Pass | Havelock2008Part I Ch. 6 (Xiang), Eq. (4) | Golay chain recovers a delay+gain system IR (noiseless, exact) | 0 (machine precision, +/-1e-13) | 1.11e-16 | ±1.00e-13 | 1.11e-16 | 0.1 % |
| Pass | Kirkeby & Nelson1999Eq. (17) / Mueller-Massarani 2001 Sec. 3.1 | In-band equalization residue equals eps/(|H|^2 + eps) bin by bin | 0 (closed form, +/-1e-12) | 4.36e-16 | ±1.00e-12 | 4.36e-16 | 0.0 % |
| Pass | Kirkeby & Nelson1999(max of x/(x^2+eps) = 1/(2*sqrt(eps))) | Out-of-band inverse-filter gain within the regularization cap | <= -6.021 dB (analytic cap) | -6.034 dB | - | headroom +0.013 dB | - |
| Pass | Mueller-Massarani2001Secs. 4.2-4.3 (group-delay synthesis) | Shaped sweep's Welch spectrum follows the pink target, in-band | 0 dB in-band deviation (+/-0.5 dB) | 0.0652 dB | ±0.5 dB | 0.0652 dB | 13 % |
Intensity & sound power37/37
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | IEC 610431993Clause 5 | Plane-wave intensity I = p^2 / (rho c) | 0.00238 W/m² | 0.00239 W/m² | ±1.5% | 0.00001 W/m² | 28 % |
| Pass | ISO 37442010Eq. 18 | Monopole hemisphere recovers LW (r=4 m) | 95 dB | 95 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | ISO 9614-21996Eq. 12 | Intensity scan recovers LW of an enclosed source | 90 dB | 90 dB | ±0.000001 dB | 0 dB | 0.0 % |
| Pass | IEC 610431993Table 2 | Minimum delta_pI0 per band, probe/processor/instrument, class 1/2 | 132 tabulated minima reproduced | max absolute deviation 0.000 dB | ±0 dB | 0 dB | 0.0 % |
| Pass | IEC 610431993Table 2 Note 1 | Separation rule +10 lg(x/25) on all six columns of 25 mm minima (x = 50 mm) | 3.0103 dB | 3.0103 dB | ±1.00e-12 dB | 4.44e-16 dB | 0.0 % |
| Pass | Fahy, Sound Intensity2e6.8 | delta_pI0 = 20 dB is a phase mismatch of 0.26 deg (1 kHz, 25 mm) | 0.26 deg | 0.2624 deg | ±0.005 deg | 0.0024 deg | 48 % |
| Pass | ISO 9614-11993Eqs (A.1)/(A.2) | Temporal variability F1 is the coefficient of variation of M samples | 0.185164 | 0.185164 | ±1.00e-12 | 0 | 0.0 % |
| Pass | ISO 48711996clause 3.15 / Annex B | Declared L_WAd = L_WA + K_WA (Annex B, L_WA=88, K_WA=2) | 90 dB | 90 dB | ±0 dB | 0 dB | 0.0 % |
| Pass | ISO 48711996clause 6.2 | Single-machine verification boundary L_1 <= L_WAd | L_1=90 verified, L_1=91 rejected (L_WAd=90) | 90->True, 91->False | - | boundary L_1 = L_WAd | - |
| Pass | ISO 37412010Eq. 20 | Reverberation-room method inverts to a known LW | 0 dB error | 0 dB | ±0.000000001 dB | 0 dB | 0.0 % |
| Pass | ISO 37442010Eq. 23 / clause 3.4 NOTE 1 | Sound energy level of a source steady over T = 10 s is LW + 10 lg(T/T0) | LJ - LW = 10 dB, 0 dB error | 1.42e-14 dB | ±0.000000001 dB | 1.42e-14 dB | 0.0 % |
| Pass | ISO 37442010Eq. 20 | One measurement encompassing Ne = 5 events is 10 lg 5 above one event | 6.9897 dB | 6.9897 dB | ±1.00e-12 dB | -8.88e-16 dB | 0.1 % |
| Pass | ISO 37412010Eq. 30 | Reverberation-room sound energy level inverts to a known LJ | 0 dB error | 0 dB | ±0.000000001 dB | 0 dB | 0.0 % |
| Pass | ISO 37412010Eq. F.4 | Three equal one-third-octave bands sum to an octave level 10 lg 3 higher | 4.771213 dB | 4.771213 dB | ±1.00e-12 dB | 1.78e-15 dB | 0.2 % |
| Pass | ISO 37442010Annex G / H.4.2.7 | C1 + C2 of Eq. (G.1)/(G.3) vanish at 120 m altitude and 23 C | 0 dB | -0.00005 dB | ±0.001 dB | -0.00005 dB | 5.0 % |
| Pass | ISO 9614-11993Table B.2 | Criterion-2 factor C per band and grade, and the A-weighted grade-3 value | 59 tabulated values of C reproduced | max absolute deviation 0.000 | ±0 | 0 | 0.0 % |
| Pass | ISO 9614-11993Table 2 | Standard deviation s of the determination per band and grade | 59 tabulated values of s reproduced | max absolute deviation 0.000 dB | ±0 dB | 0 dB | 0.0 % |
| Pass | ISO 9614-11993Table B.1 | Error factor Delta: 0,20 and 0,29 for all bands, 0,60 A-weighted | precision (all bands) = 0.2; engineering (all bands) = 0.29; survey (A-weighted) = 0.6 | precision (all bands) = 0.2; engineering (all bands) = 0.29; survey (A-weighted) = 0.6 | ±0 | 0 | 0.0 % |
| Pass | ISO 9614-11993Eq. (12) | Discrete positions tiling a scanned surface give the same LW | 0 dB error | 0 dB | ±0.000000000001 dB | 0 dB | 0.0 % |
| Pass | ISO 9614-11993Table B.3 | Five action codes, each reached by the case Figure B.1 routes to it | F1 > 0,6 -> e; F2 > Ld -> ab; (F3 - F2) > 3 dB -> ab; criterion 2, 1 dB <= (F3 - F2) <= 3 dB -> c; criterion 2, (F3 - F2) <= 1 dB -> d | F1 > 0,6 -> e; F2 > Ld -> ab; (F3 - F2) > 3 dB -> ab; criterion 2, 1 dB <= (F3 - F2) <= 3 dB -> c; criterion 2, (F3 - F2) <= 1 dB -> d | - | 0 of 5 rows disagree | - |
| Pass | ISO 9614-11993Eq. (B.4) | New positions N* on the concentrated subset of the measurement surface | N* = 5 positions | N* = 5 positions | ±0 | 0 | 0.0 % |
| Pass | ISO 374720109.5 EXAMPLE | Expanded uncertainty U = 2 sqrt(1,5^2 + 2^2) dB, grade 2 with sigma_omc = 2,0 dB | 5 dB | 5 dB | ±1.00e-12 dB | 0 dB | 0.0 % |
| Pass | ISO 37472010Table 2 / Eq. 22 | sigma_R0 by grade: 1,5 dB (grade 2) and 4,0 dB (grade 3), sigma_tot of Table E.1 row 2 | sigma_R0 grade 2 = 1.5 dB; sigma_R0 grade 3 = 4 dB; sigma_tot (1,5; 4) = 4.3 dB | sigma_R0 grade 2 = 1.5 dB; sigma_R0 grade 3 = 4 dB; sigma_tot (1,5; 4) = 4.3 dB | ±0 dB | 0 dB | 0.0 % |
| Pass | ISO 37472010Eq. 7 / 8.1 | K1 at the 6 dB validity margin, -10 lg(1 - 10^-0,6) = 1,2563 dB, and the 1,3 dB cap below it | K1(6 dB) = 1,2563 dB, K1(2 dB) = 1,3 dB, 4 kHz flagged | 0 dB | ±0.000000001 dB | 0 dB | 0.0 % |
| Pass | ISO 37472010Eq. 11 vs ISO 3741:2010 Eq. 21 | In situ comparison plus C2 equals the reverberation-room comparison (closed form) | 0 dB difference | 1.42e-14 dB | ±0.000000001 dB | 1.42e-14 dB | 0.0 % |
| Pass | ISO 37472010Eq. 12 / Eq. 20 | m identical reference-source locations collapse to Eq. 11 / Eq. 19 (closed form) | 0 dB difference | 0 dB | ±0.000000001 dB | 0 dB | 0.0 % |
| Pass | ISO 37472010Eq. 15 / Eq. 17 | N events one at a time and one measurement over N events agree (closed form) | 0 dB difference | 0 dB | ±0.000000001 dB | 0 dB | 0.0 % |
| Pass | ISO 37472010Annex C | C2 at 101,325 kPa and 23,0 degC is 15 lg(296,15/296) = 0,003 300 dB (theta_ref = 296 K) | 0.0033 dB | 0.0033 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | ISO 37472010Eq. C.2 | Static pressure at 500 m, 101,325 (1 - 2,2560e-5 x 500)^5,2553 kPa | 95.4609 kPa | 95.4609 kPa | ±1.00e-9 kPa | 0 kPa | 0.0 % |
| Pass | ISO 37472010Table D.1 / Eq. D.1 | LWA of a flat 90 dB octave spectrum, 63 Hz to 8 kHz, with the printed Ck | 96.9871 dB | 96.9871 dB | ±1.00e-9 dB | -1.42e-14 dB | 0.0 % |
| Pass | ISO 37472010Eq. A.1 | Excess over the spherical free field Lp = LW - 11 - 20 lg(r/r0): a level 7 dB above it reads dLf = 7 dB | 7 dB | 7 dB | ±1.00e-12 dB | -1.78e-15 dB | 0.2 % |
| Pass | ISO 51362003Table D.1 | C3,4 of the sampling tube for d = 0,5 m at U = +/-5, +/-15, +/-30 m/s, 27 bands | 162 tabulated values reproduced to the printed 0,1 dB | max absolute deviation 0.049 dB | ±0.05 dB | 0.049 dB | 98 % |
| Pass | ISO 51362003Eqs (D.2)/(D.3) | Worked example: C3,4 = (1,85 + 0,038 U) dB at 1 kHz, U = +15 and -15 m/s | 2,42 dB at +15 m/s and 1,28 dB at -15 m/s reproduced | max absolute deviation 0.0e+00 dB | ±0.000000001 dB | 0 dB | 0.0 % |
| Pass | ISO 51362003Eq. (8) | Nose-cone / foam-ball correction 10 lg[1/(1 - U/c)^2] at U = 20 m/s, c = 340 m/s | 0.52658 dB | 0.52658 dB | ±1.00e-9 dB | -2.22e-16 dB | 0.0 % |
| Pass | ISO 51362003Eq. (12) | Plane-wave relation LW - Lp = 10 lg(S/S0) - 10 lg(rho c/400), d = 0,5 m | -7.2113 dB | -7.2113 dB | ±0.00000100 dB | -1.07e-14 dB | 0.0 % |
| Pass | ISO 51362003Table 2 / Table 3 | Reproducibility sigma_R per band, 50 Hz to 10 kHz, and the extrapolated 12,5 to 20 kHz | 27 tabulated values of sigma_R reproduced | max absolute deviation 0.000 dB | ±0 dB | 0 dB | 0.0 % |
| Pass | ISO 51362003Annex C Table C.1 | A-weighting C_j of the 27 bands, read back as LWA - LW of one band at a time | 27 tabulated values of C_j reproduced | max absolute deviation 5.8e-15 dB | ±0.000000001 dB | 5.77e-15 dB | 0.0 % |
Building prediction & uncertainty15/15
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | EN 12354-12000Annex H.3 | Airborne prediction R'w (direct + 12 flanking paths) | R'w 52 dB (13 paths) | R'w 52 dB (13 paths, 52.17) | - | +0.17 dB | - |
| Pass | EN 12354-12000Annex H.3 (paths) | All 12 printed flanking-path values Rij,w | max abs(Rij,w - printed) <= 0,05 dB | 0.042 dB | ±0.05 dB | 0.042 dB | 84 % |
| Pass | EN 12354-12000Formula (5b) / Annex H.3 | DnT,w closure from R'w (both H.3 examples -> 54 dB) | DnT,w 54 dB (printed 53,8/54,3) | DnT,w 53.63 / 54.13 dB | - | -0.17 dB vs printed | - |
| Pass | EN 12354-22000Annex E.3 | Impact prediction L'n,w = Ln,w,eq - dLw + K | 45 dB (+/-0 dB) | 45 dB | - | 0 dB | - |
| Pass | EN 12354-22000Formula (3) / Annex E.3 | Standardized impact level L'nT,w (exact 0,032 V form -> 43 dB) | L'nT,w 43 dB (exact 42,96; E.3 prints 42,8) | L'nT,w 42.96 dB | - | -0.001 dB | - |
| Pass | EN 12354-32000Annex F | Facade airborne prediction (R'tr,s,w / D2m,nT,w single numbers) | R'tr,s,w 31 (Ctr -3); D2m,nT,w 33 dB | R'tr,s,w 31 (Ctr -3); D2m,nT,w 33 dB | - | 0 | - |
| Pass | EN 12354-42000Annex G / Formula (2) | Radiated LW of a wall+door segment (side 1, low bands) | LW 63/125 Hz [59.8, 61.2] dB (+/-0.1) | LW [59.8, 61.2] dB | - | 0.038 dB | - |
| Pass | EN 12354-42000Annex E / Table G.9 | Exterior level of all four Table G.9 reception cells | Lp 36,6 / 28,5 / 44,6 / 37,3 dB (+/-0,05) | Lp 36.6 / 28.5 / 44.6 / 37.3 dB | - | 0.046 dB | - |
| Pass | ISO 12999-12020Table 2 | Airborne band uncertainty, situation A @ 1 kHz | 1.8 dB | 1.8 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | ISO 12999-12020Annex B, Table B.2 | One-decimal single numbers Rw / Rw+C50-5000 / Rw+Ctr,50-5000 | 57.4 / 56.4 / 51.1 dB | 57.4 / 56.4 / 51.1 dB | - | +0.00 dB | - |
| Pass | ISO 12999-12020Annex B, Formulae (B.2)/(B.6) | Single-number uncertainties (uncorrelated 0,6/0,8; correlated u(Rw) 1,9) | u_uncorr 0.6 / 0.8 dB; u_corr(Rw) 1.9 dB | 0.60 / 0.79 dB; 1.90 dB | - | -0.00 dB | - |
| Pass | ISO 12999-12020Clause 8 / Table 8 | Expanded uncertainty U = 1.96 u (95 % two-sided, Rw sit. A) | 2.352 dB | 2.352 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | ISO 12999-22020Table 4 / Formula (1) | Absorption coefficient +/-U (k=2), reproducibility, 20 x 1/3-oct bands | U(k=2) = [0.33, 0.26, 0.22, 0.17, 0.13, 0.11, 0.09, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.09, 0.09, 0.09, 0.1, 0.11, 0.13, 0.16] | U(k=2) = [0.33, 0.26, 0.22, 0.17, 0.13, 0.11, 0.09, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.09, 0.09, 0.09, 0.1, 0.11, 0.13, 0.16] | - | exact | - |
| Pass | ISO 12999-22020Table 5 / Formula (4) | Practical coefficient +/-U (k=2), reproducibility, 5 octave bands | U(k=2) = [0.09, 0.08, 0.08, 0.08, 0.1] | U(k=2) = [0.09, 0.08, 0.08, 0.08, 0.1] | - | exact | - |
| Pass | ISO 12999-22020Clause 7, Examples 1/2 | Single-number U (k=2): alpha_w and DLalpha,NRD | alpha_w +/-0.07, DLalpha +/-1.6 dB | alpha_w +/-0.07, DLalpha +/-1.6 dB | - | exact | - |
Outdoor propagation & occupational exposure10/10
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | ISO 9613-11993Table 1 | Air attenuation @ 10 degC, 70 %, 1 kHz | 3.66 dB/km | 3.658 dB/km | ±0.01 dB/km | -0.002 dB/km | 20 % |
| Pass | ISO 9613-11993Table 1 | Air attenuation @ 0 degC, 20 %, 2 kHz | 34.6 dB/km | 34.64 dB/km | ±0.1 dB/km | 0.04 dB/km | 40 % |
| Pass | ISO 9613-21996Table 2 | Atmospheric attenuation grid, 6 conditions x 8 octave bands, dB/km | all 48 cells within half a printed digit | worst residual 0.939 x tolerance | - | 0.939 x | - |
| Pass | ISO 9613-21996Eq. (7) | Geometrical divergence Adiv = 20 lg(d/d0) + 11 at 100 m | 51 dB | 51 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | ISO 9613-21996Table 3 | Ground b'(0) porous limit -> Agr(250 Hz) = 2(-1.5 + 10.1) | 17.2 dB | 17.2 dB | ±0.00000100 dB | 0 dB | 0.0 % |
| Pass | ISO 9613-21996clause 7.4 | Single-edge diffraction saturates at the 20 dB cap | 20 dB | 20 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | ISO 9613-21996clause 7.4 | Double-edge diffraction saturates at the 25 dB cap | 25 dB | 25 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | ISO 96122009Annex D | Task-based LEX,8h + U (welder day, case a) | LEX,8h 84.3; U 2.7 dB | LEX,8h 84.3; U 2.7 dB | - | -0.01; +0.02 dB | - |
| Pass | ISO 96122009Annex E | Job-based LEX,8h + U (production line, 18 workers) | LEX,8h 88.1; U 3.8 dB | LEX,8h 88.2; U 3.8 dB | - | +0.06; -0.03 dB | - |
| Pass | ISO 96122009Annex F | Full-day LEX,8h + U (forklift drivers) | LEX,8h 90.1; U 3.4 dB | LEX,8h 90.1; U 3.4 dB | - | +0.02; +0.03 dB | - |
Materials: absorption, airflow & impedance6/6
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | ISO 116541997Annex A.1 | Weighted absorption alpha_w (no indicator) | 0.60 (class C, no indic.) | 0.60 (class C, '') | - | 0 | - |
| Pass | ISO 116541997Annex A.2 | Weighted absorption alpha_w with M indicator | 0.60(M) | 0.60(M) | - | 0 | - |
| Pass | ISO 9053-22020Annex A.3 | Thermal boundary-layer thickness b | 0.00183 m | 0.00183 m | ±0.00001 m | 0.00000485 m | 97 % |
| Pass | ISO 9053-22020Annex A.3 | Effective ratio of specific heats kappa' | 1.37 | 1.37 | ±0.001 | 0.000259 | 52 % |
| Pass | ISO 10534-11996Eqs (9)/(13)/(14) | Absorption from standing-wave ratio s=3 | alpha 0.75 (+/-0), |r| 0.5 | alpha 0.75, |r| 0.5000 | - | 0 | - |
| Pass | ISO 10534-2Eq. (17) / Annex D | Two-microphone round trip recovers a known reflection factor | abs(r - (0.3-0.4j)) = 0 (identity, +/-1e-9) | 2.83e-16 | ±0.000000001 | 2.83e-16 | 0.0 % |
Scattering & diffusion (ISO 17497)14/14
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | ISO 17497-12004Eq (2) | Reference speed of sound at 20 C | 343.2 m/s | 343.2 m/s | ±0.00000100 m/s | 0 m/s | 0.0 % |
| Pass | ISO 17497-12004Eqs (1)/(4)/(5) | Scattering coefficient (synthetic chain) | 0.0931 | 0.0931 | ±1.00e-9 | 0 | 0.0 % |
| Pass | ISO 17497-12004Annex A.5 | Expanded uncertainty of scattering coefficient | 0.02971 | 0.02971 | ±0.00000100 | 0 | 0.0 % |
| Pass | ISO 17497-22012Formula (5) | Directional diffusion coefficient (QRD, model arc) | 0.1099 | 0.1099 | ±0.00000100 | 0 | 0.0 % |
| Pass | ISO 17497-22012Formula (5) | Directional diffusion coefficient (flat reference) | 0.0049 | 0.0049 | ±0.00000100 | 0 | 0.0 % |
| Pass | ISO 17497-22012Formula (7) | Normalised diffusion coefficient (QRD, model arc) | 0.1055 | 0.1055 | ±0.00000100 | 0 | 0.0 % |
| Pass | Cox & D'Antonio3eApp. B (2D BEM) | Normalised diffusion d_n, N=7 QRD x 6 periods, 200 Hz band (low-band anchor) | 0 | 0.000380 | ±0.015 | 0.000380 | 2.5 % |
| Pass | Cox & D'Antonio3eApp. B (2D BEM) | Normalised diffusion d_n, N=7 QRD x 6 periods, 250 Hz band (low-band anchor) | 0.01 | 0.001 | ±0.015 | -0.009 | 60 % |
| Pass | Cox & D'Antonio3eApp. B (2D BEM) | Normalised diffusion d_n, N=7 QRD x 6 periods, 315 Hz band (low-band anchor) | 0.01 | 0.002 | ±0.015 | -0.008 | 53 % |
| Pass | Cox & D'Antonio3eApp. B (2D BEM) | Normalised diffusion d_n, N=7 QRD x 6 periods, 400 Hz band (low-band anchor) | 0.01 | 0.008 | ±0.015 | -0.002 | 13 % |
| Pass | ISO 17497-22012Formula (8) | Zenith area factor (radians convention) | 1.57105 | 1.57105 | ±0.00000100 | 0 | 0.0 % |
| Pass | Cox & D'AntonioEq (10.3) | QRD deepest well depth (N=7, f0=500 Hz) | 0.196 m | 0.196 m | ±1.00e-12 m | 0 m | 0.0 % |
| Pass | Cox & D'AntonioEq (5.8) + ISO 17497-2 Formula (7) | Flat-panel predicted normalised diffusion (self-reference zero) | 0 | 0 | ±1.00e-12 | 0 | 0.0 % |
| Pass | Cox & D'AntonioEq (5.8) + ISO 17497-2 Formula (7) | QRD predicted normalised diffusion at 2 kHz (above flat panel) | 0.208 | 0.208 | ±1.00e-9 | 0 | 0.0 % |
In-situ road absorption (ISO 13472)3/3
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | ISO 13472-12002Clause 4.2 | Geometrical-spreading factor Kr | 0.6667 | 0.6667 | ±1.00e-12 | 0 | 0.0 % |
| Pass | ISO 13472-12002Annex A | Maximum-sampled-area radius | 1.3425 m | 1.3425 m | ±0.00000100 m | 0 m | 0.0 % |
| Pass | ISO 13472-22010Clause 5.4.1 | Spot-tube upper usable frequency f_u | 1989.4 Hz | 1989.4 Hz | ±0.1 Hz | -2.27e-13 Hz | 0.0 % |
Precision sound power (ISO 3745 / 9614-3)4/4
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | ISO 37452012Clause 10.5 EXAMPLE | Expanded uncertainty U (k=2) | 4.123 dB | 4.123 dB | ±0.001 dB | 0 dB | 0.0 % |
| Pass | ISO 37452012Eq (11) | K1 background floor (6 dB edge band) | 1.2563 dB | 1.2563 dB | ±0.0001 dB | -0.00000423 dB | 4.2 % |
| Pass | ISO 37452012Eq (16) | Meteorological C1 at 23 C reference | -0.1282 dB | -0.1282 dB | ±0.0001 dB | 3.15e-7 dB | 0.3 % |
| Pass | ISO 9614-32002Eqs (5)/(8)/(9) | Uniform-intensity LW recovery | 80 dB | 80 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
Outdoor propagation quality assurance (ISO/TR 17534-3)34/34
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | ISO/TR 17534-32015T01 | Receiver band levels over ground G = 0, dB | 0 dB | 0.008 dB | ±0.05 dB | 0.008 dB | 16 % |
| Pass | ISO/TR 17534-32015T01 | Receiver total level over ground G = 0, dB | 47.46 dB | 47.457 dB | ±0.05 dB | -0.003 dB | 6.0 % |
| Pass | ISO/TR 17534-32015T01 | Receiver A-weighted level over ground G = 0, dB | 44.29 dB | 44.293 dB | ±0.05 dB | 0.003 dB | 6.0 % |
| Pass | ISO/TR 17534-32015T02 | Receiver band levels over ground G = 0.5, dB | 0 dB | 0.01 dB | ±0.05 dB | 0.01 dB | 20 % |
| Pass | ISO/TR 17534-32015T02 | Receiver total level over ground G = 0.5, dB | 44.61 dB | 44.608 dB | ±0.05 dB | -0.002 dB | 4.0 % |
| Pass | ISO/TR 17534-32015T02 | Receiver A-weighted level over ground G = 0.5, dB | 41.53 dB | 41.526 dB | ±0.05 dB | -0.004 dB | 8.0 % |
| Pass | ISO/TR 17534-32015T03 | Receiver band levels over ground G = 1, dB | 0 dB | 0.008 dB | ±0.05 dB | 0.008 dB | 16 % |
| Pass | ISO/TR 17534-32015T03 | Receiver total level over ground G = 1, dB | 42.8 dB | 42.8 dB | ±0.05 dB | 0.000337 dB | 0.7 % |
| Pass | ISO/TR 17534-32015T03 | Receiver A-weighted level over ground G = 1, dB | 39.14 dB | 39.139 dB | ±0.05 dB | -0.001 dB | 2.0 % |
| Pass | ISO/TR 17534-32015Table 3 | Ground-projected path length dp, m | 194.16 m | 194.165 m | ±0.005 m | 0.005 m | 100 % |
| Pass | ISO/TR 17534-32015Table 3 | Straight-line path length d3, m | 194.19 m | 194.188 m | ±0.005 m | -0.002 m | 40 % |
| Pass | ISO/TR 17534-32015Table 3 | Geometrical divergence Adiv, dB | 56.76 dB | 56.764 dB | ±0.05 dB | 0.004 dB | 8.0 % |
| Pass | ISO/TR 17534-32015Table 3 | Middle-region overlap factor q (ISO 9613-2 Table 3, note 2) | 0.23 | 0.2275 | ±0.005 | -0.0025 | 50 % |
| Pass | ISO/TR 17534-32015T04 | Receiver band levels, flat ground of three kinds, general method, dB | 0 dB | 0.0124 dB | ±0.05 dB | 0.0124 dB | 25 % |
| Pass | ISO/TR 17534-32015T04 | Receiver total level, flat ground of three kinds, general method, dB | 45.25 dB | 45.248 dB | ±0.05 dB | -0.002 dB | 4.0 % |
| Pass | ISO/TR 17534-32015T04 | Receiver A-weighted level, flat ground of three kinds, general method, dB | 42.23 dB | 42.227 dB | ±0.05 dB | -0.003 dB | 6.0 % |
| Pass | ISO/TR 17534-32015T06 | Receiver band levels, ground rising under the receiver, general method, dB | 0 dB | 0.0111 dB | ±0.05 dB | 0.0111 dB | 22 % |
| Pass | ISO/TR 17534-32015T06 | Receiver total level, ground rising under the receiver, general method, dB | 43.85 dB | 43.85 dB | ±0.05 dB | 0.000251 dB | 0.5 % |
| Pass | ISO/TR 17534-32015T06 | Receiver A-weighted level, ground rising under the receiver, general method, dB | 40.59 dB | 40.589 dB | ±0.05 dB | -0.001 dB | 2.0 % |
| Pass | ISO/TR 17534-32015T05 | Receiver band levels, flat ground of three kinds, alternative method, dB | 0 dB | 0.0075 dB | ±0.05 dB | 0.0075 dB | 15 % |
| Pass | ISO/TR 17534-32015T05 | Receiver total level, flat ground of three kinds, alternative method, dB | 42.46 dB | 42.461 dB | ±0.05 dB | 0.001 dB | 2.0 % |
| Pass | ISO/TR 17534-32015T05 | Receiver A-weighted level, flat ground of three kinds, alternative method, dB | 39.3 dB | 39.298 dB | ±0.05 dB | -0.002 dB | 4.0 % |
| Pass | ISO/TR 17534-32015T07 | Receiver band levels, ground rising under the receiver, alternative method, dB | 0 dB | 0.0088 dB | ±0.05 dB | 0.0088 dB | 18 % |
| Pass | ISO/TR 17534-32015T07 | Receiver total level, ground rising under the receiver, alternative method, dB | 42.91 dB | 42.914 dB | ±0.05 dB | 0.004 dB | 8.0 % |
| Pass | ISO/TR 17534-32015T07 | Receiver A-weighted level, ground rising under the receiver, alternative method, dB | 39.75 dB | 39.749 dB | ±0.05 dB | -0.001 dB | 2.0 % |
| Pass | ISO/TR 17534-32015Table 8 (T04) | Region ground factor Gs (source region) over three areas | 0.2 | 0.2 | ±0.005 | 0 | 0.0 % |
| Pass | ISO/TR 17534-32015Table 8 (T04) | Region ground factor Gm (middle region) over three areas | 0.43 | 0.4261 | ±0.005 | -0.0039 | 78 % |
| Pass | ISO/TR 17534-32015Table 8 (T04) | Region ground factor Gr (receiver region) over three areas | 0.67 | 0.6703 | ±0.005 | 0.0003 | 6.0 % |
| Pass | ISO/TR 17534-32015Table 14 (T06) | Region ground factor Gs (source region) over three areas | 0.9 | 0.9 | ±0.005 | 0 | 0.0 % |
| Pass | ISO/TR 17534-32015Table 14 (T06) | Region ground factor Gm (middle region) over three areas | 0.6 | 0.5985 | ±0.005 | -0.0015 | 30 % |
| Pass | ISO/TR 17534-32015Table 14 (T06) | Region ground factor Gr (receiver region) over three areas | 0.37 | 0.3723 | ±0.005 | 0.0023 | 46 % |
| Pass | ISO/TR 17534-32015Table 14 (T06) | Straight-line path length d3, m | 194.6 m | 194.6 m | ±0.005 m | -0.000411 m | 8.2 % |
| Pass | ISO/TR 17534-32015Table 17 (T05) | Mean path height hm over flat ground, m | 2.5 m | 2.4997 m | ±0.005 m | -0.0003 m | 6.0 % |
| Pass | ISO/TR 17534-32015Table 17 (T07) | Mean path height hm over a slope, m | 4.99 m | 4.9888 m | ±0.005 m | -0.0012 m | 24 % |
Human vibration (ISO 8041 / 2631 / 5349)15/15
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | ISO 8041-12017Table B.8 | Wk design-goal factor at 6,31 Hz | 1.054 | 1.0544 | ±0.1% | 0.0004 | 38 % |
| Pass | ISO 8041-12017Table B.9 | Wm design-goal factor at 1,585 Hz | 0.9342 | 0.9342 | ±0.1% | 0.0000340 | 3.6 % |
| Pass | ISO 8041-12017Table 1 | Wh factor at the 500 rad/s reference | 0.202 | 0.202 | ±0.15% | 0.0000193 | 6.4 % |
| Pass | ISO 8041-12017Table B.1 | Wb design-goal factor at 6,31 Hz | 1.054 | 1.0545 | ±0.1% | 0.0005 | 47 % |
| Pass | ISO 8041-12017Table B.1 | Wb design-goal factors at 1 / 100 Hz | max rel dev ≤ 0,1 % | 0.000267 | ±0.001 | 0.000267 | 27 % |
| Pass | ISO 8041-12017Table 1 | Wc factor at the 100 rad/s reference | 0.5145 | 0.5145 | ±0.1% | -0.0000480 | 9.3 % |
| Pass | ISO 8041-12017Table 1 + Table B.3 | Wd factors at the 100 rad/s reference and 1 Hz | max rel dev ≤ 0,1 % | 0.000162 | ±0.001 | 0.000162 | 16 % |
| Pass | ISO 8041-12017Table B.4 | We design-goal factor at 8 Hz | 0.1263 | 0.1263 | ±0.1% | 0.0000484 | 38 % |
| Pass | ISO 8041-12017Table B.5 | Wf design-goal factors at 0,1585 / 0,1 Hz | max rel dev ≤ 0,1 % | 0.000098 | ±0.001 | 0.000098 | 9.8 % |
| Pass | ISO 8041-12017Table B.7 | Wj design-goal factors at 6,31 / 8 Hz | max rel dev ≤ 0,1 % | 0.00001 | ±0.001 | 0.00001 | 1.0 % |
| Pass | ISO 8041-12017Table 5 + Annex B | All nine weightings inside the tolerance envelope (318 printed bands) | 0 bands outside the Table 5 tolerances | 0 | ±0 | 0 | 0.0 % |
| Pass | ISO 5349-22001Example E.2.1 | Single-tool daily exposure A(8) | 4.1 m/s² | 4.14 m/s² | ±0.05 m/s² | 0.037 m/s² | 74 % |
| Pass | ISO 5349-22001Example E.3 | Forestry three-task A(8) | 3.6 m/s² | 3.61 m/s² | ±0.05 m/s² | 0.01 m/s² | 20 % |
| Pass | ISO 5349-12001Eq. (C.1) | VWF 10 % lifetime Dy at A(8)=7 | 4 yr | 4.04 yr | ±0.1 yr | 0.042 yr | 42 % |
| Pass | Directive 2002/44/ECArt. 3 | HAV/WBV action & limit values | HAV 2.5/5.0, WBV 0.5/1.15 m/s^2 | HAV 2.5/5.0, WBV 0.5/1.15 m/s^2 | - | 0 | - |
Machine vibration evaluation (ISO 20816)64/64
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | ISO 20816-12016Annex D.2 | Vector change between two steady states, mm/s | 5.2 mm/s | 5.171 mm/s | ±0.05 mm/s | -0.029 mm/s | 58 % |
| Pass | ISO 20816-12016Annex D.2 | Change a magnitude comparison would report, mm/s | -0.5 mm/s | -0.5 mm/s | ±0.05 mm/s | 0 mm/s | 0.0 % |
| Pass | ISO 20816-12016Annex C.2 | Zone A limit factor Zbound of Formula (C.1) | 1 | 1 | ±0.005 | 0 | 0.0 % |
| Pass | ISO 20816-12016Annex C.2 | Zone B limit factor Zbound of Formula (C.1) | 2.56 | 2.56 | ±0.005 | 0 | 0.0 % |
| Pass | ISO 20816-12016Annex C.2 | Zone C limit factor Zbound of Formula (C.1) | 6.4 | 6.4 | ±0.005 | 0 | 0.0 % |
| Pass | ISO 20816-12016Table C.1 | Typical zone A/B boundary, low end of the range, mm/s | 0.71 mm/s | 0.71 mm/s | ±0.0005 mm/s | 0 mm/s | 0.0 % |
| Pass | ISO 20816-12016Table C.1 | Typical zone A/B boundary, high end of the range, mm/s | 4.5 mm/s | 4.5 mm/s | ±0.0005 mm/s | 0 mm/s | 0.0 % |
| Pass | ISO 20816-12016Table C.1 | Typical zone B/C boundary, low end of the range, mm/s | 1.8 mm/s | 1.8 mm/s | ±0.0005 mm/s | 0 mm/s | 0.0 % |
| Pass | ISO 20816-12016Table C.1 | Typical zone B/C boundary, high end of the range, mm/s | 9.3 mm/s | 9.3 mm/s | ±0.0005 mm/s | 0 mm/s | 0.0 % |
| Pass | ISO 20816-12016Table C.1 | Typical zone C/D boundary, low end of the range, mm/s | 4.5 mm/s | 4.5 mm/s | ±0.0005 mm/s | 0 mm/s | 0.0 % |
| Pass | ISO 20816-12016Table C.1 | Typical zone C/D boundary, high end of the range, mm/s | 14.7 mm/s | 14.7 mm/s | ±0.0005 mm/s | 0 mm/s | 0.0 % |
| Pass | ISO 20816-12016Table C.1 | Every range end is a rung of the printed ladder | 0 | 0 | ±0.5 | 0 | 0.0 % |
| Pass | ISO 20816-12016Figure 9 | Criterion is flat between the corner frequencies, worst deviation, mm/s | 0 mm/s | 0 mm/s | ±0.000000001 mm/s | 0 mm/s | 0.0 % |
| Pass | ISO 20816-12016Figure 9 | Constant-displacement slope below the lower corner, dB per octave | 6.0206 dB | 6.0206 dB | ±0.001 dB | -8.67e-8 dB | 0.0 % |
| Pass | ISO 20816-12016Figure 9 | Constant-acceleration slope above the upper corner, dB per octave | 6.0206 dB | 6.0206 dB | ±0.001 dB | -8.67e-8 dB | 0.0 % |
| Pass | ISO 10816-32009Table A.1 | Zone boundaries, group 1 on rigid supports, displacement, worst deviation | 0 µm | 0 µm | ±0.0005 µm | 0 µm | 0.0 % |
| Pass | ISO 10816-32009Table A.1 | Zone boundaries, group 1 on rigid supports, velocity, worst deviation | 0 mm/s | 0 mm/s | ±0.0005 mm/s | 0 mm/s | 0.0 % |
| Pass | ISO 10816-32009Table A.1 | Zone boundaries, group 1 on flexible supports, displacement, worst deviation | 0 µm | 0 µm | ±0.0005 µm | 0 µm | 0.0 % |
| Pass | ISO 10816-32009Table A.1 | Zone boundaries, group 1 on flexible supports, velocity, worst deviation | 0 mm/s | 0 mm/s | ±0.0005 mm/s | 0 mm/s | 0.0 % |
| Pass | ISO 10816-32009Table A.2 | Zone boundaries, group 2 on rigid supports, displacement, worst deviation | 0 µm | 0 µm | ±0.0005 µm | 0 µm | 0.0 % |
| Pass | ISO 10816-32009Table A.2 | Zone boundaries, group 2 on rigid supports, velocity, worst deviation | 0 mm/s | 0 mm/s | ±0.0005 mm/s | 0 mm/s | 0.0 % |
| Pass | ISO 10816-32009Table A.2 | Zone boundaries, group 2 on flexible supports, displacement, worst deviation | 0 µm | 0 µm | ±0.0005 µm | 0 µm | 0.0 % |
| Pass | ISO 10816-32009Table A.2 | Zone boundaries, group 2 on flexible supports, velocity, worst deviation | 0 mm/s | 0 mm/s | ±0.0005 mm/s | 0 mm/s | 0.0 % |
| Pass | ISO 10816-320095.2.3 | The more restrictive of the two quantities decides the zone | 3 | 3 | ±0.5 | 0 | 0.0 % |
| Pass | ISO 10816-320095.4.1 | ALARM above a baseline, as a fraction of the zone B/C boundary | 0.25 | 0.25 | ±0.0005 | 0 | 0.0 % |
| Pass | ISO 10816-320095.4.1 | ALARM ceiling, as a multiple of the zone B/C boundary | 1.25 | 1.25 | ±0.0005 | 0 | 0.0 % |
| Pass | ISO 10816-320095.4.2 | TRIP ceiling, as a multiple of the zone C/D boundary | 1.25 | 1.25 | ±0.0005 | 0 | 0.0 % |
| Pass | ISO 10816-320095.3 | Threshold of a significant change, as a fraction of the zone B/C boundary | 0.25 | 0.25 | ±0.0005 | 5.55e-17 | 0.0 % |
| Pass | ISO 20816-92020Table 2 | Gear-unit displacement zone boundaries at a rating of 31.5, worst deviation | 0 µm | 0 µm | ±0.0005 µm | 0 µm | 0.0 % |
| Pass | ISO 20816-92020Table 2 | Gear-unit displacement zone boundaries at a rating of 50, worst deviation | 0 µm | 0 µm | ±0.0005 µm | 0 µm | 0.0 % |
| Pass | ISO 20816-92020Table 2 | Gear-unit displacement zone boundaries at a rating of 80, worst deviation | 0 µm | 0 µm | ±0.0005 µm | 0 µm | 0.0 % |
| Pass | ISO 20816-92020Table 2 | Gear-unit displacement zone boundaries at a rating of 125, worst deviation | 0 µm | 0 µm | ±0.0005 µm | 0 µm | 0.0 % |
| Pass | ISO 20816-92020Table 2 | Gear-unit displacement zone boundaries at a rating of 200, worst deviation | 0 µm | 0 µm | ±0.0005 µm | 0 µm | 0.0 % |
| Pass | ISO 20816-92020Table 3 | Gear-unit velocity zone boundaries at a rating of 3.15, worst deviation | 0 mm/s | 0 mm/s | ±0.0005 mm/s | 0 mm/s | 0.0 % |
| Pass | ISO 20816-92020Table 3 | Gear-unit velocity zone boundaries at a rating of 5, worst deviation | 0 mm/s | 0 mm/s | ±0.0005 mm/s | 0 mm/s | 0.0 % |
| Pass | ISO 20816-92020Table 3 | Gear-unit velocity zone boundaries at a rating of 8, worst deviation | 0 mm/s | 0 mm/s | ±0.0005 mm/s | 0 mm/s | 0.0 % |
| Pass | ISO 20816-92020Table 3 | Gear-unit velocity zone boundaries at a rating of 12.5, worst deviation | 0 mm/s | 0 mm/s | ±0.0005 mm/s | 0 mm/s | 0.0 % |
| Pass | ISO 20816-92020Table 3 | Gear-unit velocity zone boundaries at a rating of 20, worst deviation | 0 mm/s | 0 mm/s | ±0.0005 mm/s | 0 mm/s | 0.0 % |
| Pass | ISO 20816-92020Table 4 | Gear-unit acceleration zone boundaries at a rating of 5, worst deviation | 0 m/s² | 0 m/s² | ±0.0005 m/s² | 0 m/s² | 0.0 % |
| Pass | ISO 20816-92020Table 4 | Gear-unit acceleration zone boundaries at a rating of 8, worst deviation | 0 m/s² | 0 m/s² | ±0.0005 m/s² | 0 m/s² | 0.0 % |
| Pass | ISO 20816-92020Table 4 | Gear-unit acceleration zone boundaries at a rating of 12.5, worst deviation | 0 m/s² | 0 m/s² | ±0.0005 m/s² | 0 m/s² | 0.0 % |
| Pass | ISO 20816-92020Table 4 | Gear-unit acceleration zone boundaries at a rating of 20, worst deviation | 0 m/s² | 0 m/s² | ±0.0005 m/s² | 0 m/s² | 0.0 % |
| Pass | ISO 20816-92020Table 4 | Gear-unit acceleration zone boundaries at a rating of 31.5, worst deviation | 0 m/s² | 0 m/s² | ±0.0005 m/s² | 0 m/s² | 0.0 % |
| Pass | ISO 20816-92020Table 4 | Gear-unit acceleration zone boundaries at a rating of 50, worst deviation | 0 m/s² | 0 m/s² | ±0.0005 m/s² | 0 m/s² | 0.0 % |
| Pass | ISO 20816-92020Table 4 | Gear-unit acceleration zone boundaries at a rating of 80, worst deviation | 0 m/s² | 0 m/s² | ±0.0005 m/s² | 0 m/s² | 0.0 % |
| Pass | ISO 20816-92020Table 4 | Gear-unit acceleration zone boundaries at a rating of 125, worst deviation | 0 m/s² | 0 m/s² | ±0.0005 m/s² | 0 m/s² | 0.0 % |
| Pass | ISO 20816-92020Table 4 | Gear-unit acceleration zone boundaries at a rating of 200, worst deviation | 0 m/s² | 0 m/s² | ±0.0005 m/s² | 0 m/s² | 0.0 % |
| Pass | ISO 20816-92020Table 5 | Gear-unit ratings for class I, subclass a, worst deviation | 0 | 0 | ±0.0005 | 0 | 0.0 % |
| Pass | ISO 20816-92020Table 5 | Gear-unit ratings for class I, subclass b, low power, worst deviation | 0 | 0 | ±0.0005 | 0 | 0.0 % |
| Pass | ISO 20816-92020Table 5 | Gear-unit ratings for class I, subclass b, high power, worst deviation | 0 | 0 | ±0.0005 | 0 | 0.0 % |
| Pass | ISO 20816-92020Table 5 | Gear-unit ratings for class II, subclass a, worst deviation | 0 | 0 | ±0.0005 | 0 | 0.0 % |
| Pass | ISO 20816-92020Table 5 | Gear-unit ratings for class II, subclass b, low power, worst deviation | 0 | 0 | ±0.0005 | 0 | 0.0 % |
| Pass | ISO 20816-92020Table 5 | Gear-unit ratings for class II, subclass b, high power, worst deviation | 0 | 0 | ±0.0005 | 0 | 0.0 % |
| Pass | ISO 20816-92020Table 5 | Gear-unit ratings for class III, subclass a, worst deviation | 0 | 0 | ±0.0005 | 0 | 0.0 % |
| Pass | ISO 20816-92020Table 5 | Gear-unit ratings for class III, subclass b, low power, worst deviation | 0 | 0 | ±0.0005 | 0 | 0.0 % |
| Pass | ISO 20816-92020Table 5 | Gear-unit ratings for class III, subclass b, high power, worst deviation | 0 | 0 | ±0.0005 | 0 | 0.0 % |
| Pass | ISO 20816-92020Table 5 | Gear-unit ratings for class IV, subclass a, worst deviation | 0 | 0 | ±0.0005 | 0 | 0.0 % |
| Pass | ISO 20816-92020Table 5 | Gear-unit ratings for class IV, subclass b, low power, worst deviation | 0 | 0 | ±0.0005 | 0 | 0.0 % |
| Pass | ISO 20816-92020Table 5 | Gear-unit ratings for class IV, subclass b, high power, worst deviation | 0 | 0 | ±0.0005 | 0 | 0.0 % |
| Pass | ISO 20816-92020Figure A.1 | Fall of the displacement rating curve a decade above its corner, dB | 10 dB | 10 dB | ±0.0005 dB | 0 dB | 0.0 % |
| Pass | ISO 20816-92020Figure A.1 | Displacement rating curve below its corner, worst deviation from DR, µm | 0 µm | 0 µm | ±0.0005 µm | 0 µm | 0.0 % |
| Pass | ISO 20816-92020Figure A.2 | Fall of the velocity rating curve a decade outside each corner, dB | 14 dB | 14 dB | ±0.0005 dB | 0 dB | 0.0 % |
| Pass | ISO 20816-92020Figure A.2 | Velocity rating curve between its corners, worst deviation from VR, mm/s | 0 mm/s | 0 mm/s | ±0.0005 mm/s | 0 mm/s | 0.0 % |
| Pass | ISO 20816-92020Table 4, note | Velocity rungs carried onto acceleration rungs at 280 Hz, worst error, % | 0 % | 2.034 % | ±3 % | 2.034 % | 68 % |
Speech intelligibility (ANSI S3.5-1997)24/24
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | ANSI S3.51997Table 3 | Band-importance function normalisation | 1 | 1 | ±1.00e-9 | 0 | 0.0 % |
| Pass | ASA WGS3-79 SII.C (clause 5.4) | Equivalent masking spectrum level at 200 Hz | -1.665 | -1.665 | ±0.001 | 0.000283 | 28 % |
| Pass | ANSI S3.51997clause 5.6 | Equivalent disturbance in quiet at 5000 Hz | -23.6 dB | -23.6 dB | ±0.01 dB | 0 dB | 0.0 % |
| Pass | ASA WGS3-79 SII.C (clause 6) | SII, noise 30 dB plus hearing loss 40 dB | 0.218454 | 0.218454 | ±0.000001 | -3.05e-11 | 0.0 % |
| Pass | ANSI S3.51997Annex C.2 | Worked example (SII.C / R CRAN, errata applied) | 0.851375 | 0.851375 | ±0.000001 | -2.50e-11 | 0.0 % |
| Pass | ANSI S3.51997Table C.2 (errata) | Masking Zi at 200 Hz, corrected worksheet | 34.66 dB | 34.66 dB | ±0.01 dB | -0.002 dB | 40 % |
| Pass | ASA WGS3-79 SII.C (clause 6) | SII, standard speech in quiet, normal hearing | 0.99582517 | 0.99582517 | ±0.000001 | -3.33e-15 | 0.0 % |
| Pass | ASA WGS3-79 TO.TST | Official one-third-octave test case | 0.445 | 0.445 | ±0.001 | 0.000391 | 78 % |
| Pass | ASA WGS3-79 TO_1.TST | Official test case, alternative importance | 0.438 | 0.438 | ±0.001 | 0.000218 | 44 % |
| Pass | ASA WGS3-79 CB.TST | Official critical-band test case | 0.273 | 0.273 | ±0.001 | -0.0000646 | 13 % |
| Pass | ASA WGS3-79 CB_1.TST | Critical band, alternative importance | 0.41 | 0.41 | ±0.001 | 0.000474 | 95 % |
| Pass | ASA WGS3-79 ECB.TST | Official equally-contributing test case | 0.278 | 0.278 | ±0.001 | 0.000139 | 28 % |
| Pass | ASA WGS3-79 ECB_1.TST | Equally contributing, alternative importance | 0.41 | 0.41 | ±0.001 | 0.000474 | 95 % |
| Pass | ASA WGS3-79 OCTAVE.TST | Official octave-band test case | 0.491 | 0.491 | ±0.001 | -0.0000375 | 7.5 % |
| Pass | ASA WGS3-79 OCTAVE_1.TST | Octave band, alternative importance | 0.323 | 0.323 | ±0.001 | -0.0000625 | 13 % |
| Pass | ANSI S3.51997Annex C.1 | Octave-band worked example (SII.C) | 0.504 | 0.504 | ±0.001 | 5.00e-11 | 0.0 % |
| Pass | ANSI S3.51997Table C.1 (errata) | Level distortion Li, row i = 5 | 1 | 1 | ±0.01 | -0.004 | 80 % |
| Pass | ANSI S3.51997Table 1 | Critical-band importance normalisation | 1 | 1 | ±1.00e-9 | 0 | 0.0 % |
| Pass | ANSI S3.51997Table 2 | Equally-contributing importance, 17 x 0.0588 | 0.9996 | 0.9996 | ±1.00e-9 | -1.11e-16 | 0.0 % |
| Pass | ANSI S3.51997Table 4 | Octave-band importance normalisation | 1 | 1 | ±1.00e-9 | 0 | 0.0 % |
| Pass | ANSI S3.51997Table 4 | Octave-band Ui and Xi equal Table 3's | 0 dB | 0 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | ANSI S3.51997Table 1 | Critical-band table, all 21 rows | 0 | 0 | ±1.00e-9 | 0 | 0.0 % |
| Pass | ASA WGS3-79 SII.C (clause 6) | Flat-input cases, all four procedures | 0 | 0.0000000001 | ±0.000000001 | 0.0000000001 | 10.0 % |
| Pass | ANSI S3.51997Table 3 | Loud-effort speech spectrum level at 1 kHz | 42.16 dB | 42.16 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
Objective intelligibility (STOI / ESTOI)3/3
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | Taal et al.2011(Eq. 6, degenerate) | STOI of a signal against itself = 1 (perfect correlation) | 1 | 1 | ±0.000001 | -3.33e-15 | 0.0 % |
| Pass | Jensen & Taal2016(Eq. 8, degenerate) | ESTOI of a signal against itself = 1 (perfect spectral correlation) | 1 | 1 | ±0.000001 | -4.44e-16 | 0.0 % |
| Pass | Taal et al.2011(monotonicity with SNR) | STOI rises from -15 dB to +25 dB SNR speech-shaped noise | STOI(+25 dB) - STOI(-15 dB) > 0.2 | 0.462 (0.389 -> 0.851) | - | 0 | - |
Impulsive-sound prominence (NT ACOU 112)2/2
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | NT ACOU 1122002Formula 1 | Predicted prominence, OR=1000 dB/s, LD=30 dB | 11.9542 | 11.9542 | ±0.0001 | 0.0000425 | 43 % |
| Pass | NT ACOU 1122002Formula 2 | Adjustment KI to LAeq at prominence P=10 | 9 dB | 9 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
Impulsive-sound prominence (ISO/PAS 1996-3)2/2
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | ISO/PAS1996-3:2022 3.5 | Onset rate of a 30 dB ramp over 0.30 s | 100 dB/s | 100 dB/s | ±0.00000100 dB/s | -7.11e-14 dB/s | 0.0 % |
| Pass | ISO/PAS1996-3:2022 Formula 3 | Adjustment KI of the ramp onset | 7.1176 dB | 7.1176 dB | ±0.00000100 dB | -2.66e-15 dB | 0.0 % |
Room noise (ANSI S12.2-2019)3/3
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | ANSI S12.22019Table 1 | NC-40 curve, tangency self-consistency | 40 | 40 | ±1.00e-9 | 0 | 0.0 % |
| Pass | ANSI S12.22019Table D.1 | RC-31 Mark II curve, 63 Hz level | 51 | 51 | ±1.00e-9 | 0 | 0.0 % |
| Pass | ANSI S12.22019clause D.4 | RC-35 curve, mid-frequency average LMF | 35 | 35 | ±1.00e-9 | 0 | 0.0 % |
Hearing threshold (ISO 7029 / ISO 389-7)3/3
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | ISO 70292017Table 1 | Median threshold, male age 60 at 4 kHz | 20.209 dB | 20.208 dB | ±0.001 dB | -0.0000261 dB | 2.6 % |
| Pass | ISO 70292017Table 2 | Upper spread su, male age 60 at 1 kHz | 10.153 dB | 10.153 dB | ±0.001 dB | -0.0000319 dB | 3.2 % |
| Pass | ISO 389-72005Table 1 | Free-field reference threshold at 1 kHz | 2.4 dB | 2.4 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
Measurement uncertainty (GUM / Supplement 1)7/7
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | ISO/IEC Guide98-3-1 clause 9.2 | Combined uncertainty, additive model | 2 | 2 | ±1.00e-9 | 0 | 0.0 % |
| Pass | ISO/IEC Guide98-3 Table G.2 | Coverage factor, p=0.99, v=16 | 2.92 | 2.921 | ±0.005 | 0.001 | 20 % |
| Pass | ISO/IEC Guide98-3 Annex G.4 | Welch-Satterthwaite effective dof | 40 | 40 | ±0.00000100 | 0 | 0.0 % |
| Pass | ISO/IEC Guide98-3 Annex H.1 | End-gauge combined uncertainty uc, nm | 31.71 nm | 31.71 nm | ±0.01 nm | 0.001 nm | 10 % |
| Pass | ISO/IEC Guide98-3 Annex H.1 | End-gauge expanded uncertainty U99, nm | 92.1 nm | 92.1 nm | ±0.1 nm | 0.04 nm | 40 % |
| Pass | ISO/IEC Guide98-3 Annex H.2 (Table H.3) | Correlated V/I/phi budget: uc(R), ohm | 0.071 ohm | 0.071 ohm | ±0.001 ohm | 0.0000714 ohm | 7.1 % |
| Pass | ISO/IEC Guide98-3-1 Table 3 (clause 9.2.3) | Seeded Monte Carlo, rectangular sum: 95 % interval endpoint | +/-3.88 (u = 2.0) | +/-3.886 (u = 2.002) | - | 0.006 | - |
Noise-induced hearing loss (ISO 1999)6/6
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | ISO 19992013Table D.2 | Median NIPTS, 4 kHz, 90 dB, 20 yr | 13 dB | 12.9 dB | ±0.5 dB | -0.057 dB | 11 % |
| Pass | ISO 19992013Table D.2 | Worst-10 % NIPTS, 4 kHz, 90 dB, 20 yr | 18 dB | 17.8 dB | ±0.5 dB | -0.239 dB | 48 % |
| Pass | ISO 19992013Table D.4 | Worst-10 % NIPTS, 3 kHz, 100 dB, 40 yr | 60 dB | 59.8 dB | ±0.5 dB | -0.172 dB | 34 % |
| Pass | ISO 19992013Annex C, Formulae (C.6) to (C.8) | NIPTS at 1/2/4 kHz, 90 dB, 30 yr, Q = 10 % (annex inputs) | 0, 9, 19 dB | 0, 9, 19 dB | - | 0 dB | - |
| Pass | ISO 19992013Annex C, Formula (C.5) | Compressed 4 kHz shift, Formula (1) with the annex's H = 36 dB | 13.3 dB | 13.3 dB | ±0.1 dB | -3.55e-15 dB | 0.0 % |
| Pass | ISO 19992013Annex C, Formula (C.11) | Hearing threshold level with age and noise, 1/2/4 kHz mean, Q = 10 % | 31.1 dB | 31.1 dB | ±0.1 dB | 0 dB | 0.0 % |
Hearing protectors (ISO 4869-2)4/4
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | ISO 4869-22018Annex A, Table A.1 | Assumed protection: mean and spread over 16 subjects, 8 bands | m_f and s_f equal to Table A.1 at 1 dp, all 8 bands | max deviation 0.000 dB | - | 0.000 dB | - |
| Pass | ISO 4869-22018Formula (2), Annex B | Octave-band method: Table B.1 net levels and L'p,A84 | Table B.1 rows exact; L'p,A84 = 81.4 dB | rows within 0.000 dB; 81.4 dB | - | +0.000 dB | - |
| Pass | ISO 4869-22018Formulae (12) to (15), Annex C | HML method: 16 subject triples, statistics and H84/M84/L84 | Table C.2 exact; H84/M84/L84 = (24, 18, 13) dB | within 0.000 dB; (24, 18, 13) dB | - | 0.000 dB | - |
| Pass | ISO 4869-22018Formulae (16) to (24) | HML and SNR applications land on the annexes' 82 dB | PNR84 = 22,5 dB; SNR84 = 21 dB; both report 82 dB | 22.5 dB; 21 dB; 82 and 82 dB | - | +0.000 dB | - |
Multiple-shock whole-body vibration (ISO 2631-5)6/6
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | ISO 2631-52018Formula 3 | Daily acceleration dose, 5 x 40 m/s2 peaks | 55.97 m/s² | 55.97 m/s² | ±0.01 m/s² | -0.002 m/s² | 20 % |
| Pass | ISO 2631-52018Formula C.3 | Stress variable R, Annex C male example | 1.22 | 1.22 | ±0.01 | -0.0000258 | 0.3 % |
| Pass | ISO 2631-52018Formula C.5 | Injury probability, Annex C male example | 0.37 | 0.37 | ±0.01 | -0.003 | 30 % |
| Pass | ISO 2631-52018Annex C NOTE 5 | Compressive stress Sd, female example | 1.4 MPa | 1.4 MPa | ±0.01 MPa | -0.001 MPa | 10 % |
| Pass | ISO 2631-52018Annex C NOTE 5 | Stress variable R, female example | 0.97 | 0.96 | ±0.01 | -0.008 | 80 % |
| Pass | ISO 2631-52018Formula 1 vs Annex D Table D.1 | Seat-to-spine transfer vs the 256 Hz digital filter (0,5-80 Hz) | max abs(Formula 1 - filter) ≤ 0,04 | 0.001 | ±0.04 | 0.001 | 2.5 % |
Sound absorption in enclosed spaces (EN 12354-6)2/2
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | EN 12354-62003Formula 1 | Equivalent absorption area, Annex E bare room | 2.26 m² | 2.26 m² | ±0.01 m² | 0.003 m² | 30 % |
| Pass | EN 12354-62003Formula 5 | Reverberation time, Annex E bare room | 2.1 s | 2.1 s | ±0.1 s | 0.003 s | 6.0 % |
Prominent discrete tones (ECMA-418-1)2/2
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | ECMA-418-12024Clause 10 Formula (2) | Critical band at 1 kHz (f1,c / f2,c / dfc) | dfc 162.2 Hz (+/-0.05 Hz); edges 922.2-1084.4 Hz | dfc 162.22 Hz; edges 922.2-1084.4 Hz | - | 0.017 Hz | - |
| Pass | ECMA-418-12024Clause 11.6 Formula (14) | Proximity spacing dfprox at 150 / 850 Hz | 23 Hz @ 150 Hz; 63.8 Hz @ 850 Hz (+/-0.5 Hz) | 23.0 Hz; 63.8 Hz | - | +0.004; +0.044 Hz | - |
Tonal audibility (ISO/PAS 20065)11/11
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | ISO/PAS20065:2016 Formulae (12)-(14) | Audibility at 137.3 Hz, Annex E spectrum 1 | 4.99 dB | 5.01 dB | ±0.05 dB | 0.022 dB | 44 % |
| Pass | ISO/PAS20065:2016 Formula (13) | Masking index av at 137.3 / 592.2 Hz | -2.02 dB @ 137.3 Hz; -2.4 dB @ 592.2 Hz (+/-0.005 dB) | -2.017 dB; -2.400 dB | - | +0.003; +0.000 dB | - |
| Pass | ISO/PAS20065:2016 Formula (20) | Mean audibility of the five spectra, Annex E | 6.96 dB | 6.98 dB | ±0.05 dB | 0.018 dB | 36 % |
| Pass | ISO/PAS20065:2016 Formula (6) | Mean narrow-band level LS from spectrum, Table E.1 | 49.22 dB | 49.22 dB | ±0.02 dB | -0.001 dB | 5.0 % |
| Pass | ISO/PAS20065:2016 Clause 6 | Extended uncertainty U of the 137.3 Hz tone, Table E.2 | 2.79 dB | 2.8 dB | ±0.02 dB | 0.006 dB | 30 % |
| Pass | ISO/PAS20065:2016 Formulae (28)-(29) | Extended uncertainty of the mean audibility, Annex E Step 4 | 1.38 dB | 1.38 dB | ±0.01 dB | -0.003 dB | 30 % |
| Pass | ISO/PAS20065:2016 Formula (8) | Tone level LT from spectrum, Table E.1 | 67.96 dB | 67.96 dB | ±0.02 dB | -0.005 dB | 25 % |
| Pass | ISO/PAS20065:2016 Clause 5.3.8 | Tone detection over the spectrum, Table E.1 | tones at [118.4, 137.3, 158.8] Hz | tones at [118.4, 137.3, 158.8] Hz | - | exact | - |
| Pass | ISO/PAS20065:2016 Clause 5.3.8 Step 3 | Same-band FG combination inside analyze_spectrum, Table E.2 row 2 FG | 72.15 dB | 72.15 dB | ±0.02 dB | -0.002 dB | 10 % |
| Pass | ISO/PAS20065:2016 Formula (17) | Multi-tone FG combination, Table E.1 | 72.15 dB | 72.15 dB | ±0.02 dB | -0.002 dB | 10 % |
| Pass | ISO/PAS20065:2016 Formulae (18)/(19) | Two-tone separation fD (DIN 45681 Annex J), 137.3 / 212 Hz | fD(137.3)=24.09, fD(212)=21.0 Hz; Annex E pair combined | fD(137.3)=24.09, fD(212)=21.00 Hz; Annex E pair combined | - | exact | - |
Psychoacoustic annoyance & fluctuation strength (Fastl & Zwicker)3/3
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | Fastl & ZwickerEqs (16.2)-(16.4) | Psychoacoustic annoyance, worked (N5,S,F,R) tuple | 37.0478 | 37.0477 | ±0.001 | -0.0001 | 10 % |
| Pass | Fastl & ZwickerEq (10.2) | Fluctuation strength of AM broadband noise (60 dB, m=1, 4 Hz) | 3.6943 vacil | 3.6943 vacil | ±0.001 vacil | -0.0000325 vacil | 3.2 % |
| Pass | Fastl & Zwicker Ch. 10 / Osses et al.2016 | Fluctuation-strength calibration: 1 kHz / 60 dB / m=1 / 4 Hz AM tone | 1 vacil | 1 vacil | ±0.05 vacil | -1.15e-14 vacil | 0.0 % |
Electroacoustics: distortion & frequency response20/20
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | IEC 60268-32013(14.12.3.2) | THD (rel. total RMS, the R convention the clause defines) | 0.112853 | 0.112853 | ±0.0001 | 5.55e-17 | 0.0 % |
| Pass | Closed-form harmonic synthesis (THD_F convention) | THD (rel. fundamental, the widespread datasheet convention) | 0.113578 | 0.113578 | ±0.0001 | 8.33e-17 | 0.0 % |
| Pass | IEC 60268-52003(20.3/20.4) | Characteristic sensitivity level, 1 W into 8 ohm at 1 m (flat 90 dB) | 90 dB | 90 dB | ±0.000001 dB | 0 dB | 0.0 % |
| Pass | IEC 60268-52003(21.2) | Effective frequency range = -10 dB crossings (50 Hz / 18 kHz) | 50 Hz / 18000 Hz (ref -10 dB crossings) | 50.000 Hz / 18000.0 Hz | - | -0.000 / -0.000 Hz | - |
| Pass | IEC 60268-32013(14.12.5) | 2nd-order harmonic distortion d2 (rel. total) | 0.099361 | 0.099361 | ±0.0001 | -1.39e-17 | 0.0 % |
| Pass | IEC 60268-42014(11.1/11.3) | Microphone sensitivity level, 12.5 mV/Pa -> 20 lg 0.0125 dB re 1 V/Pa | -38.0618 dB | -38.0618 dB | ±0.00001 dB | 2.60e-7 dB | 2.6 % |
| Pass | IEC 60268-42014(12.2) | Effective frequency range = +/-3 dB tolerance crossings (40 Hz / 18 kHz) | 40 Hz / 18000 Hz (+/-3 dB tolerance crossings) | 40.000 Hz / 18000.0 Hz | - | 0.000 / -0.000 Hz | - |
| Pass | IEC 60268-42014(13.2.2) | Directivity index of the ideal cardioid, 10 lg 3 dB (11.2.2 a integral) | 4.771213 dB | 4.771214 dB | ±0.005 dB | 0.000001 dB | 0.0 % |
| Pass | IEC 60268-42014(17.2) | Equivalent noise level, 2.5 uV over 12.5 mV/Pa -> 200 uPa = 20 dB SPL | 20 dB SPL | 20 dB SPL | ±1.00e-9 dB SPL | 0 dB SPL | 0.0 % |
| Pass | IEC 60268-32013(14.12.7.2 g) | Modulation distortion d_m,2 (arithmetic sideband sum over U_2,f2) | 0.16 | 0.16 | ±0.0001 | -3.16e-15 | 0.0 % |
| Pass | IEC 60268-32013(14.12.7.2 h) | Modulation distortion d_m,3 (arithmetic sideband sum over U_2,f2) | 0.08 | 0.08 | ±0.0001 | -8.05e-16 | 0.0 % |
| Pass | IEC 60268-32013(14.12.8.1 a) | Difference-frequency distortion d_d,2 (over U_2,ref = 2 U_2,f2) | 0.03 | 0.03 | ±0.0001 | 1.64e-14 | 0.0 % |
| Pass | IEC 60268-32013(14.12.8.1 b) | Difference-frequency distortion d_d,3 (arithmetic product sum) | 0.04 | 0.04 | ±0.0001 | 7.22e-15 | 0.0 % |
| Pass | IEC 60268-32013(14.12.10) | Total difference-frequency distortion (8 kHz / 11.95 kHz tones) | 0.03605551 | 0.03605551 | ±0.0001 | -2.16e-15 | 0.0 % |
| Pass | ITU-R BS.468-4Table 1 | Weighting network response at the 6.3 kHz peak (14.12.11 network) | 12.2 dB | 12.2167 dB | ±0.05 dB | 0.0167 dB | 33 % |
| Pass | IEC 60268-32013(14.12.9) | DIM of the 15 kHz / 3.15 kHz signal (Table 2, 9 products) | 0.168819 | 0.168819 | ±0.0001 | -1.56e-14 | 0.0 % |
| Pass | Bendat & Piersol, Random Data4e | H1 recovers a known first-order IIR gain at 1 kHz | 0.8954 | 0.8954 | ±2% | 0.0000341 | 0.2 % |
| Pass | Bendat & Piersol, Random Data4e | Ordinary coherence = 1 for a noiseless LTI path | 1 | 1 | ±0.001 | -3.41e-7 | 0.0 % |
| Pass | AES172015(6.4.2 / 5.2.7) | Idle channel noise, 1 kHz -20 dBFS tone (CCIR-RMS -5.63 dB offset) | -25.63 dB | -25.63 dB | ±0.01 dB | 3.55e-15 dB | 0.0 % |
| Pass | AES172015(6.4.1) | Dynamic range, full-scale reference over a -40 dBFS residual at 2 kHz | 40 dB | 40.38 dB | ±0.6 dB | 0.385 dB | 64 % |
Calibrated spectral analysis (Bendat & Piersol)12/12
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | Bendat & Piersol, Random Data4eEq. (5.67) | White-noise autospectral density = sigma^2/(fs/2) | 0.000977 | 0.000982 | ±3% | 0.000005 | 17 % |
| Pass | Bendat & Piersol, Random Data4eEq. (8.158) | PSD random error = 1/sqrt(nd) (Monte Carlo, 100 seeded records) | 0.1768 | 0.1764 | ±6% | -0.0004 | 3.8 % |
| Pass | Bendat & Piersol, Random Data4eEq. (8.163) | 95% chi-square confidence interval coverage (Monte Carlo) | 0.95 | 0.94 | ±0.025 | -0.01 | 40 % |
| Pass | Bendat & Piersol, Random Data4eEqs. (9.55)/(6.39) | Coherent output spectrum of a known-SNR path: gamma^2 = SNR/(1+SNR) | 0.7191 | 0.7255 | ±0.03 | 0.0064 | 21 % |
| Pass | Closed-form power-law slope (10*lg(2) dB/octave per unit exponent) | Pink-noise PSD slope over 20 Hz - 20 kHz, dB/octave | -3.0103 dB/oct | -3.0116 dB/oct | ±0.05 dB/oct | -0.0013 dB/oct | 2.6 % |
| Pass | IEC 60268-11985Clause A2.1 / Table AII | 5 ms burst of 5 kHz tone at 48 kHz: gate RMS = A/sqrt(2) (integral periods) | 0.707107 | 0.707107 | ±1.00e-12 | -1.11e-16 | 0.0 % |
| Pass | Harris1978closed form (DFT-even Hann) | Hann window ENBW = n*sum(w^2)/sum(w)^2 = 3/2 exactly | 1.5 | 1.5 | ±1.00e-12 | 0 | 0.0 % |
| Pass | Constant-power 1/n-octave kernel (closed form) | 1/3-octave smoothed line level = P*df/(f0*(2^(1/6)-2^(-1/6))) | 0.021592 | 0.021592 | ±1e-7% | -1.39e-17 | 0.0 % |
| Pass | Percival & Walden1993Table 382 | Slepian taper concentration lambda_14(31, 8/31), quadruple-precision table | 0.92943822082 | 0.92943822082 | ±0.000000000001 | -4.44e-16 | 0.0 % |
| Pass | Percival & Walden1993Section 7.2 / Eq. (333) | Multitaper white-noise density = sigma^2/(fs/2), NW=4, K=7 tapers | 0.000977 | 0.000963 | ±3% | -0.000014 | 48 % |
| Pass | Percival & Walden1993Eq. (369a) tone calibration | Multitaper 'spectrum' scaling reads a sinusoid peak at A^2/2 | 4.5 | 4.500003 | ±0.01% | 0.000003 | 0.7 % |
| Pass | Percival & Walden1993Eq. (370b) | Adaptive multitaper dof -> 2K on white noise (weights -> uniform) | 14 | 13.9847 | ±2% | -0.0153 | 5.5 % |
Multiple-input coherence (Bendat & Piersol)5/5
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | Bendat & Piersol, Random Data4eProblem 7.2 / Eqs. (7.86)/(7.94) | Conditioned coherent output of the 2nd input abs(G2y.1)^2/G22.1 = 4/3 exactly | 1.333333333 | 1.333333333 | ±1.00e-12 | 2.22e-16 | 0.0 % |
| Pass | Bendat & Piersol, Random Data4eProblem 7.2 / Eqs. (7.87)/(7.116) | Partial coherence gamma^2_2y.1 = 2/15 and multiple coherence = 0.7 | 0.7 | 0.7 | ±1.00e-12 | 0 | 0.0 % |
| Pass | Bendat & Piersol, Random Data4eEq. (7.35) with Eqs. (6.40)/(6.41) | Multiple coherence of a known-SNR system: gamma^2_{y:x} = SNR/(1+SNR) | 0.8889 | 0.8913 | ±0.03 | 0.0024 | 8.0 % |
| Pass | Bendat & Piersol, Random Data4eEq. (7.117) | Uncorrelated inputs: multiple coherence = sum of ordinary coherences | 0 | -0.0098 | ±0.02 | -0.0098 | 49 % |
| Pass | Bendat & Piersol, Random Data4eEqs. (7.88)/(7.121) | Output-power decomposition Gyy = sum of Gvi + Gnn (exact) | 0 | 4.34e-19 | ±0.000000000001 | 4.34e-19 | 0.0 % |
Time-frequency analysis (Bendat & Piersol)3/3
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | Bendat & Piersol, Random Data4eEq. (12.173) | Spectrogram of an on-bin tone reads its mean square A^2/2 in every column | 2 | 2 | ±1e-7% | 8.35e-14 | 0.0 % |
| Pass | Parseval + COLA identity (Hann taper, 75% overlap) | Time-integrated STFT power = time-domain energy of an interior burst | 0.236151 | 0.236151 | ±1e-10% | 2.78e-17 | 0.0 % |
| Pass | Bendat & Piersol, Random Data4eEqs. (11.128)-(11.130) | Zoom FFT tone amplitude = demodulate-decimate-DFT chain, machine precision | 0.7 | 0.7 | ±1e-10% | 4.22e-15 | 0.6 % |
Correlation, time delay and envelope (B&P / Knapp & Carter)7/7
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | Bendat & Piersol, Random Data4eEq. (5.21) | Cross-correlation peak of a 16-sample pure delay, samples | 16 | 16 | ±0.001 | -0.00000504 | 0.5 % |
| Pass | Knapp & Carter1976Table I (PHAT) + sub-sample interpolation | GCC-PHAT estimate of an exact 12.25-sample fractional delay, samples | 12.25 | 12.2483 | ±0.005 | -0.0017 | 34 % |
| Pass | Bendat & Piersol, Random Data4eEq. (5.101) | Cross-spectrum phase-slope estimate of the same fractional delay | 12.25 | 12.2498 | ±0.001 | -0.0002 | 20 % |
| Pass | Bendat & Piersol, Random Data4eEq. (8.120) | BLWN autocorrelation coefficient at 3 samples vs sin(2piBt)/(2piBt) | -0.1559 | -0.1666 | ±0.02 | -0.0107 | 53 % |
| Pass | Bendat & Piersol, Random Data4eExample 8.5 | Random error of the correlation peak: B=100 Hz, T=5 s, M/S=N/S=10 | 0.35 | 0.3493 | ±0.001 | -0.0007 | 70 % |
| Pass | Bendat & Piersol, Random Data4eTable 13.1 | Hilbert transform of cos recovers sin: max interior error | 0 | 6.16e-11 | ±1.00e-9 | 6.16e-11 | 6.2 % |
| Pass | Bendat & Piersol, Random Data4eEq. (13.27) | Envelope of an AM waveform recovers 1 + m*cos(2pi*fm*t) exactly | 0 | 1.23e-12 | ±1.00e-9 | 1.23e-12 | 0.1 % |
Cepstrum, liftering and envelope spectrum (Havelock / B&P)3/3
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | Havelock2008Ch. 27 Fig. 21 + Mercator series of ln(1+a*e^{-j*theta}) | Power-cepstrum height at the echo delay = reflection coefficient a | 0.4 | 0.4 | ±1.00e-10 | 5.55e-17 | 0.0 % |
| Pass | Havelock2008Ch. 87 Eq. (14): complex cepstrum, series term n = 2 | Second rahmonic of a reflection a = 0.4 equals -a^2/2 | -0.08 | -0.08 | ±1.00e-10 | -1.39e-17 | 0.0 % |
| Pass | Bendat & Piersol, Random Data4eSec. 13.3 (Fig. 13.11) | Envelope-spectrum line of an AM tone (A0 = 2, m = 0.35) at fm | 0.7 | 0.7 | ±0.002 | -1.89e-15 | 0.0 % |
Time synchronous averaging (McFadden 1987)5/5
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | McFadden1987Eq. 8 / Eq. 9: comb filter \|C(f)\| at a harmonic k/T | Comb-filter tooth height at a harmonic equals unity (any N) | 1 | 1 | ±1.00e-10 | 0 | 0.0 % |
| Pass | McFadden1987Eq. 8: comb filter one quarter-order from a tooth, N = 2 | Comb-filter magnitude = 1/sqrt(2) at order 0.25 | 0.70710678 | 0.70710678 | ±1.00e-10 | 1.11e-16 | 0.0 % |
| Pass | McFadden1987Sec. 4 (Fig. 5): node selection, tone at 32.05 orders | N = 20 places a comb node on 32.05 orders (\|C\| = 0), not the power-of-2 N = 32 | 0 | 6.48e-14 | ±0.0000000001 | 6.48e-14 | 0.1 % |
| Pass | McFadden1987Eq. 5: exact recovery, integer samples per period | Noiseless periodic waveform (M = 256) recovered to machine precision | 0 | 8.88e-16 | ±0.0000000001 | 8.88e-16 | 0.0 % |
| Pass | McFadden1987Sec. 1: asynchronous-noise variance reduced by 1/N | Residual noise std of the average falls as sigma/sqrt(N), N = 64 | 0.125 | 0.12414 | ±15% | -0.00086 | 4.6 % |
Data qualification and Rice statistics (Bendat & Piersol)8/8
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | Bendat & Piersol, Random Data4eExample 4.4 | Reverse arrangements of the 20-observation sequence | 86 | 86 | ±0 | 0 | 0.0 % |
| Pass | Bendat & Piersol, Random Data4eTable A.6 | Lower percentage point A(20; 0.975) at alpha = 0.05 | 64 | 64 | ±0 | 0 | 0.0 % |
| Pass | Bendat & Piersol, Random Data4eTable A.6 | Upper percentage point A(20; 0.025) at alpha = 0.05 | 125 | 125 | ±0 | 0 | 0.0 % |
| Pass | Wald & Wolfowitz1940exact run distribution | Runs acceptance region for n1 = n2 = 10, alpha = 0.05: lower point | 6 | 6 | ±0 | 0 | 0.0 % |
| Pass | Wald & Wolfowitz1940exact run distribution | Runs acceptance region for n1 = n2 = 10, alpha = 0.05: upper point | 15 | 15 | ±0 | 0 | 0.0 % |
| Pass | Bendat & Piersol, Random Data4eExample 5.13 / Eq. (5.195) | Zero-crossing rate of bandlimited noise (fc = 1 kHz, B = 400 Hz) | 2013 | 2013 | ±1% | -0.551 | 2.7 % |
| Pass | Bendat & Piersol, Random Data4eExample 5.12 | Apparent frequency of low-pass noise (B = 2 kHz) = 0.577 B | 1155 | 1159 | ±1% | 3.911 | 34 % |
| Pass | Bendat & Piersol, Random Data4eExample 5.14 / Eq. (5.206) | Prob[positive peak > 4 sigma] of a narrow bandwidth record | 0.000335 | 0.000334 | ±0.00001 | -0.000001 | 10.0 % |
Underwater acoustics (ISO 18405/17208/18406)6/6
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | ISO 184052017/ ISO 18406 Formula 7 | Sound pressure level of a synthetic tone, dB re 1 µPa | 123.0103 | 123.0103 | ±0.0001 | 0 | 0.0 % |
| Pass | ISO 184052017/ ISO 18406 Formulae 3-4 | Sound exposure level of a 2 s tone, dB re 1 µPa²·s | 120 | 120 | ±0.001 | 0 | 0.0 % |
| Pass | ISO 184062017(6.4.2.1.3) | Peak sound pressure level of a known waveform, dB re 1 µPa | 129.5424 | 129.5424 | ±0.0001 | 0 | 0.0 % |
| Pass | ISO 17208-12016 | Radiated noise level from RMS pressure and distance, dB re 1 µPa·m | 46.0206 | 46.0206 | ±0.0001 | 0 | 0.0 % |
| Pass | ISO 17208-22019(Formula 3) | Lloyd's-mirror surface correction ΔL at a known k·d_s | -3.5211 | -3.5211 | ±0.0001 | 0 | 0.0 % |
| Pass | ISO 184062017(Formulae 8-9) | Cumulative SEL of N identical strikes = SEL_ss + 10·lg(N) | 196.9897 | 196.9897 | ±0.00000100 | 0 | 0.0 % |
Underwater sound propagation (propagation loss)16/16
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | Mackenzie(1981)nine-term equation | Speed of sound at 25 °C, 35 ‰, 1000 m (canonical check value), m/s | 1550.744 m/s | 1550.744 m/s | ±0.01 m/s | 0.0000275 m/s | 0.3 % |
| Pass | UNESCO/Chen-Millerovs Mackenzie | Sound-speed agreement at 10 °C, 35 ‰, 1000 m (cross-model), m/s | 1506.264 m/s | 1506.524 m/s | ±1 m/s | 0.261 m/s | 26 % |
| Pass | Del Grosso(1974)vs Mackenzie | Sound-speed agreement at 10 °C, 35 ‰, 1000 m (cross-model), m/s | 1506.264 m/s | 1506.313 m/s | ±1 m/s | 0.049 m/s | 4.9 % |
| Pass | Spherical spreading 20·lg(R) | Geometrical spreading loss at R = 1000 m, dB | 60 dB | 60 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | Thorp(1967)absorption | Volume absorption α at 10 kHz (cold deep water), dB/km | 1.1498 dB/km | 1.1498 dB/km | ±0.00000100 dB/km | 0 dB/km | 0.0 % |
| Pass | Ainslie-McColm(1998)vs Francois-Garrison (1982) | Absorption agreement at 10 kHz, 10 °C, 35 ‰, 0 m, pH 8, dB/km | 0.9626 dB/km | 0.9866 dB/km | ±0.0963 dB/km | 0.0239 dB/km | 25 % |
| Pass | Francois-Garrison(1982)Part II Table IV | Absorption α at 100 kHz, 10 °C, 35 ‰, 0 m, pH 8 (printed value), dB/km | 33.6 dB/km | 33.63 dB/km | ±0.05 dB/km | 0.03 dB/km | 60 % |
| Pass | Del Grosso refit (Wong-Zhu1995Table IV) | c(t90 = 20 °C, S = 35, P = 500 bar) vs the printed check table, m/s | 1603.679 m/s | 1603.679 m/s | ±0.001 m/s | 0.000444 m/s | 44 % |
| Pass | Wales-Heitmeyer(2002)ensemble spectrum | Merchant-ship source PSD at 100 Hz (printed equation), dB re 1 µPa²/Hz | 158.45 dB | 158.45 dB | ±0.001 dB | 0.0000117 dB | 1.2 % |
| Pass | Passive sonar equation (Urick/Etter) | Figure of merit SL − (NL − DI) − DT, dB | 85 dB | 85 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | Seabed reflection (Rayleigh, normal incidence) | Bottom loss at 90° grazing, sand ρ=1900 c=1650 over water, dB | 9.0506 dB | 9.0506 dB | ±0.00000100 dB | 0 dB | 0.0 % |
| Pass | Wenz wind noise (rule of fives) | Wind spectrum level at 1 kHz, 5 kn (canonical anchor), dB re 1 µPa²/Hz | 51.0206 dB | 51.0206 dB | ±0.0001 dB | -8.67e-8 dB | 0.1 % |
| Pass | Mellen thermal noise | Thermal spectrum level at 50 kHz, 16.85 °C (physical), dB re 1 µPa²/Hz | 19.3426 dB | 19.3426 dB | ±0.00000100 dB | 0 dB | 0.0 % |
| Pass | JOMOPANS-ECHO ship source level | Bulker V=13.5 kn L=211 m band level at 1 kHz (File S1 oracle), dB re 1 µPa m | 161.394 dB | 161.394 dB | ±0.01 dB | -0.000290 dB | 2.9 % |
| Pass | UNESCOsound speed (EOS-80 canonical value) | SVEL(S = 40, T68 = 40 °C, P = 1000 bar) vs Fofonoff & Millard 1983, m/s | 1731.995 m/s | 1732.004 m/s | ±0.02 m/s | 0.009 m/s | 45 % |
| Pass | Medwin(1975)sound speed (Ainslie Eqs. 1.2-1.4) | ∂c/∂T at 10 °C, neglecting the bracketed terms, m/s per °C | 3.5 m/s per °C | 3.5 m/s per °C | ±0.001 m/s per °C | -8.03e-9 m/s per °C | 0.0 % |
Underwater propagation regimes (Weston flux theory)3/3
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | Ainslie(2010)Table 9.1, medium sand | Reflection loss gradient η from Equation (9.51), Np/rad | 0.28 Np/rad | 0.278 Np/rad | ±0.005 Np/rad | -0.002 Np/rad | 40 % |
| Pass | Ainslie(2010)Table 9.1, mud | Reflection loss gradient η from Equation (9.53) at 1 Hz, Np/rad | 0.021 Np/rad | 0.02073 Np/rad | ±0.0005 Np/rad | -0.00027 Np/rad | 54 % |
| Pass | Weston cylindrical spreading vs normal modes | Range-averaged PL in an ideal 100 m waveguide at 100 Hz, 20-30 km, dB | 58.949 dB | 58.399 dB | ±1 dB | -0.55 dB | 55 % |
Marine-mammal auditory weighting (NMFS / Southall)4/4
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | NMFS(2018)Appendix D worked example | Weighting factor adjustment W(1 kHz) for high-frequency cetaceans, dB | -37.55 dB | -37.545 dB | ±0.01 dB | 0.005 dB | 50 % |
| Pass | NMFS(2024)v3.0 Table 5, otariid C | C recomputed as the peak of W(f) for the OW row (printed 1.37, corrected 1.36), dB | 1.3643 dB | 1.3643 dB | ±0.0005 dB | -0.0000114 dB | 2.3 % |
| Pass | Ainslie(2010)Equation (11.159), orca audiogram | Hearing threshold at 50 kHz (third branch), dB re 1 µPa | 51.2 dB | 51.199 dB | ±0.05 dB | -0.001 dB | 2.0 % |
| Pass | Ainslie(2010)§11.4.6, orca versus salmon | Noise-limited figure of merit (SL + TS − NL + AG − DT)/2, dB re m² | 51 dB | 51 dB | ±0.00000100 dB | -7.11e-15 dB | 0.0 % |
Underwater numerical propagation (modes / rays / PE)5/5
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | Normal modes vs ideal waveguide | Fundamental horizontal wavenumber kr1 at 20 Hz, 100 m (analytic), rad/m | 0.077662 rad/m | 0.077662 rad/m | ±0.0001 rad/m | 8.19e-9 rad/m | 0.0 % |
| Pass | Normal modes vs image-source oracle | Absolute PL at 1 km in the ideal waveguide (converged image sum), dB | 48.238 dB | 48.239 dB | ±0.02 dB | 0.001 dB | 5.0 % |
| Pass | Ray tracing vs linear gradient | Turning depth of a 10° ray, c = 1500 + 0.05z (circular arc), m | 462.8 m | 462.8 m | ±1 m | -4.74e-7 m | 0.0 % |
| Pass | Ray travel time vs iso-gradient closed form | Travel time of a 10° ray at 10 km, c = 1500 + 0.05z (Medwin & Clay Eq. 3.3.20), s | 6.625942 s | 6.625942 s | ±0.000001 s | 3.55e-15 s | 0.0 % |
| Pass | Parabolic equation vs free field | PE propagation loss at 2 km, homogeneous medium (spherical spreading), dB | 66.021 dB | 66.021 dB | ±0.1 dB | 0.0000140 dB | 0.0 % |
Sonar processing gain and detection (Ainslie 2010)4/4
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | Ainslie(2010)Sect. 6.1.2.1, printed folio 267 | Line-array DI at broadside, high-frequency limit 10 log10(2L/lambda), dB | 23.01 dB | 23.015 dB | ±0.01 dB | 0.004 dB | 40 % |
| Pass | Ainslie(2010)Sect. 6.1.2.1, printed folio 267 | Line-array DI at endfire, where the footprint halves: 10 log10(4L/lambda), dB | 26.021 dB | 26.023 dB | ±0.01 dB | 0.002 dB | 20 % |
| Pass | Ainslie(2010)Eq. (11.20), Fig. 11.1 | Unsteered DI vs the book's own approximation 1 + G0 tanh(pi^2 G0/36) at 2L/lambda = 20 | 13.22 dB | 13.05 dB | ±0.5 dB | -0.168 dB | 34 % |
| Pass | Ainslie(2010)Eq. (11.22), printed folio 581 | Detection threshold at 50 % detection probability, p_fa = 1e-4, dB | 10.0947 dB | 10.0947 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
Aircraft noise (ICAO Annex 16 / IEC 61265)17/17
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | ECAC Doc29 noise fraction (half path) | Finite-segment correction ΔF for a perpendicular foot at the segment start, dB | -3.0103 dB | -3.0103 dB | ±0.001 dB | -0.00000184 dB | 0.2 % |
| Pass | ECAC Doc29 single-event chain | SEL of a long level flyover vs the infinite-path limit LE∞ + ΔI − Λ, dB | 83.444 dB | 83.444 dB | ±0.01 dB | -6.57e-8 dB | 0.0 % |
| Pass | ECAC Doc29 impedance adjustment (standard atmosphere) | Acoustic-impedance adjustment of NPD data at 15 °C / 101.325 kPa (Eq. 4-6/4-7), dB | 0.074 dB | 0.0741 dB | ±0.0005 dB | 0.0001 dB | 20 % |
| Pass | ECAC Doc29 reference workbook (segment Λ) | Lateral attenuation of a climbing segment vs the ECAC Vol 3 Part 1 workbook, dB | 6.3769 dB | 6.3769 dB | ±0.01 dB | 3.81e-11 dB | 0.0 % |
| Pass | ECAC Doc29 start-of-roll directivity (jet) | ΔSOR behind a takeoff ground-roll segment vs the Vol 3 Part 1 workbook, dB | 0.3196 dB | 0.3196 dB | ±0.01 dB | -0.0000272 dB | 0.3 % |
| Pass | ECAC Doc29 start-of-roll directivity (turboprop) | ΔSOR behind a takeoff ground-roll segment (turboprop, Eq. 4-24b), dB | 1.0943 dB | 1.0944 dB | ±0.01 dB | 0.0001 dB | 1.0 % |
| Pass | ECAC Doc29 workbook event assembly (JETFDS/R03, behind SOR) | Energy sum of the reference per-segment SELs vs the B-1 event total, dB | 74.73 dB | 74.733 dB | ±0.01 dB | 0.003 dB | 30 % |
| Pass | SAE ARP5534 band-attenuation continuity | SAE-Method δ_B at the 150 dB branch split (Eq. 7 vs Eq. 8), dB | 123.95 dB | 123.953 dB | ±0.01 dB | 0.003 dB | 30 % |
| Pass | EASA ANPdatabase round-trip | Interpolated NPD level at a tabulated node vs the published ANP value, dB | 98.8 dB | 98.8 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | ECAC Doc29 NPD interpolation | Log-linear NPD level at the log-midpoint distance (Eq. 4-4), dB | 97 dB | 97 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | SAE ARP5534 pure-tone coefficient (ISO 9613-1) | Mid-band α at 1 kHz, 25 °C, 70 % RH, 101.325 kPa, dB/m | 0.006186 dB/m | 0.006186 dB/m | ±1.00e-9 dB/m | 0 dB/m | 0.0 % |
| Pass | ICAO Annex16 Vol. I App. 2 Table A2-3 | Perceived noisiness at SPL(b), 1 kHz band, in noys | 1 | 1 | ±0.00000100 | 0 | 0.0 % |
| Pass | ICAO Doc9501 ETM Vol. I Table 3-7 | Tone correction of the turbofan example, dB | 2 | 2 | ±0.00000100 | -4.66e-15 | 0.0 % |
| Pass | ICAO Doc9501 ETM Vol. I Table 4-4 | Integrated-method reference EPNL, EPNdB | 92.619 EPNdB | 92.619 EPNdB | ±0.01 EPNdB | 0.00000142 EPNdB | 0.0 % |
| Pass | IEC 612651995Table 1 | Directional-response tolerance at 4 kHz / 90°, dB | 2 dB | 2 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | ECAC Doc29 Appendix B take-off ground roll | Equivalent take-off distance of reference case 6 (Eq. B-15/B-16), ft | 4897.5 ft | 4897.5 ft | ±0.1 ft | 0.036 ft | 72 % |
| Pass | ECAC Doc29 Appendix B approach thrust | Corrected net thrust at the top of reference case 2A (Eq. B-40/B-48), lb | 533.1 lb | 533.1 lb | ±0.1 lb | 0.035 lb | 70 % |
Rotorcraft noise (ECAC Doc 32 / NORAH2)14/14
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | ECAC Doc32 atmospheric attenuation (Table 4) | ΔLa over a 1 km excess path at 1 kHz vs the NORAH2 guidance Table 4, dB | 6.3 dB | 6.186 dB | ±0.2 dB | -0.114 dB | 57 % |
| Pass | ECAC Doc32 spherical spreading | ΔLs at ten times the 60 m hemisphere reference distance (Eq. 24), dB | -20 dB | -20 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | ECAC Doc32 ground effect (rigid limit) | ΔLg over a rigid surface at grazing incidence tends to +6 dB (Eq. 29), dB | 6 dB | 6 dB | ±1 dB | 0.002 dB | 0.2 % |
| Pass | ECAC Doc32 propagation chain (NORAH2 prototype) | LA of a single-hemisphere emission vs the NORAH2 prototype single-event history (R22 approach, 223.66 m slant), dB(A) | 55.87 dBA | 55.886 dBA | ±0.1 dBA | 0.016 dBA | 16 % |
| Pass | NORAH2 guidance§A.3.5 ring derivation (constant φ) | Hemisphere rim bin (φ, θ) = (+90°, 150°) vs the ring level at +150°, dB | 75 dB | 75 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | NORAH2 guidance§A.3.5 Table 3 (Approach 3 HOGE offset) | Out-of-ground-hover minus in-ground-hover level of a derived bin, dB | 12 dB | 12 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | ECAC Doc32 flight-condition interpolation (NORAH2 Eq. 8) | Distance-scaled triangle blend of three uniform hemispheres, hand-checked, dB | 97.0367 dB | 97.0364 dB | ±0.001 dB | -0.0003 dB | 30 % |
| Pass | ECAC Doc32 flight-path kinematics (Eq. 17) | Airspeed of a straight climbing track, 40 m/s ground speed at a 5° path angle, m/s | 40.15279 m/s | 40.15279 m/s | ±0.0001 m/s | 0.00001 m/s | 10 % |
| Pass | ECAC Doc32 retarded time (Eq. 22) | Recorded-time delay at 100 m slant distance, r/c with c = 346.1 m/s, s | 0.288934 s | 0.288934 s | ±0.00001 s | -1.66e-7 s | 1.7 % |
| Pass | ECAC Doc32 single event (Eq. 27) | SEL − LASmax of a constant-speed level flyover, 10·lg(π·d/V) closed form, dB | 7.982 dB | 7.942 dB | ±0.1 dB | -0.04 dB | 40 % |
| Pass | NORAH2 guidancemean ground plane (Eq. 36-40) | Intercept of the plane fitted to a symmetric 20 m roofline, hand-checked, m | 10 m | 10 m | ±0.00000100 m | 3.55e-15 m | 0.0 % |
| Pass | NORAH2 guidancemean flow resistivity (Eq. 41) | Log-average of equal 1e4 and 1e6 Pa·s/m2 halves, hand-checked, Pa·s/m2 | 100000 Pa·s/m² | 100000 Pa·s/m² | ±0.00100 Pa·s/m² | 0 Pa·s/m² | 0.0 % |
| Pass | NORAH2 guidancediffraction at grazing (Eq. 42) | Pure diffraction with the edge on the line of sight, 10·lg 3, dB | 4.7712 dB | 4.7712 dB | ±0.0001 dB | 0.0000125 dB | 13 % |
| Pass | NORAH2 guidancescreening path difference (§A.4.5) | Rubber-band delta over a 40 m hill, hand-checked geometry, m | 4.2848 m | 4.2848 m | ±1.00e-9 m | 0 m | 0.0 % |
CNOSSOS-EU road source (Directive 2002/49/EC Annex II)6/6
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | CIRCABC CNOSSOS-EUroad emission test set | Line power of the 60 committed cases of the 4 875-case published test set, 8 octave bands each, dB re 1 pW/m | <= 0.01 dB on 480 published band levels (60 cases) | 0.005 dB | ±0.01 dB | 0.005 dB | 50 % |
| Pass | Directive (EU)2021/1226 Annex pt (19)(a), Table F-1 | Rolling and propulsion coefficients, 5 categories x 4 rows x 8 bands | 160 coefficients identical | 160/160 coefficients | ±0 | 0 | 0.0 % |
| Pass | Directive (EU)2021/1226 Annex pt (19)(b), Table F-4 | Road-surface coefficients, 15 surfaces x 5 categories x (8 alpha + beta) | 675 stored coefficients identical | 675/675 stored coefficients | ±0 | 0 | 0.0 % |
| Pass | Directive (EU)2015/996 Appendix F, Tables F-2 and F-3 | Studded-tyre and junction coefficients, unchanged since 2015 | 36 coefficients identical | 36/36 coefficients | ±0 | 0 | 0.0 % |
| Pass | Directive (EU)2015/996 Annex II 2.2.4 / 2.2.11 | Sound power at v_ref = 70 km/h under reference conditions, dB re 1 pW | exactly A_R,i,m and A_P,i,m | 0 dB | ±0 dB | 0 dB | 0.0 % |
| Pass | Directive (EU)2021/1226 Annex pt (8)(b) | Octave-band A-weighting AWC_f,i prescribed by 2.5.5, dB | 8 values identical | 8/8 values | ±0 | 0 | 0.0 % |
Wind-turbine noise (IEC 61400-11)3/3
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | IEC 61400-112012Formula 30 | Critical bandwidth about a 500 Hz tone, Hz | 117.255 Hz | 117.255 Hz | ±0.00000100 Hz | 0 Hz | 0.0 % |
| Pass | IEC 61400-112012Formula 26 | Apparent sound power level of a single band, dB re 1 pW | 148.5139 dB | 148.5139 dB | ±0.0001 dB | 0 dB | 0.0 % |
| Pass | IEC 61400-112012Formulae 31-34 | Tonal audibility of a synthetic clean tone, dB | 16.38 dB | 16.38 dB | ±0.06 dB | -0.001 dB | 1.7 % |
Porous & multilayer absorbers (Mechel / Bies / Cox & D'Antonio)20/20
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | Bies5eApp. D Table D.1 / Mechel 2e G.11 (2) | Delany-Bazley normalised Zc at X = 0.1, real part | 1.3241 | 1.3241 | ±1.00e-9 | 0 | 0.0 % |
| Pass | Bies5eApp. D Table D.1 / Mechel 2e G.11 (2) | Delany-Bazley normalised Zc at X = 0.1, imaginary part | -0.4694 | -0.4694 | ±1.00e-9 | -5.55e-17 | 0.0 % |
| Pass | Miki1990Eqs. (30)-(34) | Miki normalised wavenumber at f/sigma = 0.1, real part | 1.4523 | 1.4523 | ±1.00e-9 | 0 | 0.0 % |
| Pass | Johnson et al. 1987 / Cox & D'Antonio3eEq. (6.19) | JCA static viscous limit j w rho_e -> sigma, Pa s/m2 | 20000 Pa·s/m² | 20000 Pa·s/m² | ±0.01% | 1.31e-9 Pa·s/m² | 0.0 % |
| Pass | Mechel2eSect. D.3 Eq. (1) | Hard-backed layer: TMM vs -j Zc cot(kd), max rel deviation | 0 | 6.99e-16 | ±1.00e-10 | 6.99e-16 | 0.0 % |
| Pass | Lossless-layer limit (Mechel2eSect. D.3-D.4) | Air cavity over a rigid wall at lambda/4: alpha | 0 | 0 | ±1.00e-12 | 0 | 0.0 % |
| Pass | Mechel2eSect. D.5 | Maximum statistical absorption of a locally reacting plane | 0.951 | 0.951 | ±0.001 | 0.000222 | 22 % |
| Pass | Cox & D'Antonio3eEq. (7.9) | Membrane resonance 60/sqrt(m d), m = 5 kg/m2, d = 5 cm, Hz | 120 Hz | 119.85 Hz | ±2% | -0.15 Hz | 6.3 % |
| Pass | Maa 1998 Fig. 5 / Cox & D'Antonio3eFig. 7.28 | Microperforated panel (d=t=0.2 mm, b=2.5 mm, D=6 cm): peak alpha | 0.95 | 0.956 | ±0.05 | 0.006 | 12 % |
| Pass | Maa1998Eqs. (5a)/(10) | MPP peak absorption vs 4r/(1+r)^2 with Maa's printed resistance | 4r/(1+r)^2 = 0.949 | 0.956 | ±0.02 | 0.007 | 35 % |
| Pass | Allard & Atalla2eSect. 11.3.4 (Eq. 6.90), Table 6.1 glass wool | Zwikker-Kosten decoupling frequency Fd, Hz | 43.27 Hz | 43.271 Hz | ±0.005 Hz | 0.001 Hz | 20 % |
| Pass | Allard & Atalla2eEq. (11.55), printed p. 253 (prose limit) | Limp effective density at DC = apparent total density rho_t, kg/m3 | 31.1809 kg/m³ | 31.1809 kg/m³ | ±0.01% | -1.72e-11 kg/m³ | 0.0 % |
| Pass | Allard & Atalla2eEq. (11.55), printed p. 253 (prose limit) | Heavy frame recovers the rigid-frame Zc (relative deviation) | 0 | 3.98e-11 | ±0.00001 | 3.98e-11 | 0.0 % |
| Pass | Allard & Atalla2eprinted p. 254 (Doutres et al. 2007) | Limp-frame bulk-modulus limit for air, kPa | 20 kPa | 20.27 kPa | ±0.3 kPa | 0.265 kPa | 88 % |
| Pass | Allard & Atalla2eEq. (6.110), Table 6.1 glass wool | Frame lambda/4 resonance of a 10 cm layer, Hz | 459.9 Hz | 459.93 Hz | ±0.05 Hz | 0.033 Hz | 66 % |
| Pass | Allard & Atalla2eSect. 6.5.4 (Biot model output), pp. 124-125 | Airborne compressional branch changes root at 495 Hz | 495 Hz | 495.9 Hz | ±1% | 0.9 Hz | 18 % |
| Pass | Allard & Atalla2eSect. 6.5.4 (Biot model output), pp. 124-125 | Frame-borne velocity ratio Re(mu_b) at 1500 Hz (see ERRATA) | 0.82 | 0.811 | ±2% | -0.009 | 55 % |
| Pass | Allard & Atalla2eSect. 6.6.3 (Biot model output), p. 129 | Surface-impedance peak of a 5,6 cm layer, Hz | 860 Hz | 863.5 Hz | ±2% | 3.5 Hz | 20 % |
| Pass | Allard & Atalla2eSect. 11.3.4 (rigid-frame limit) | Stiff, heavy frame recovers the JCA layer (max rel deviation) | 0 | 0.0000000034 | ±0.0000001 | 0.0000000034 | 3.4 % |
| Pass | Allard & Atalla2eEq. (6.107) vs Sect. 11.5 assembly | Two independent derivations of Zs (max rel deviation) | 0 | 8.93e-16 | ±0.0000000001 | 8.93e-16 | 0.0 % |
Slow-sound perfect absorbers (Jimenez et al. Appl. Sci. 2017)3/3
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | Jimenez et al. Appl. Sci.2017Eq. (9) | Critical coupling: alpha at the design frequency (300 Hz, normal) | 1 | 1 | ±0.001 | 0 | 0.0 % |
| Pass | Poiseuille limit (Stinson1991) | Slit: j w rho_s -> 12 eta / h^2 as w -> 0 (h = 1.2 mm) | 153.3 Pa·s/m² | 153.3 Pa·s/m² | ±0.1% | 6.41e-7 Pa·s/m² | 0.0 % |
| Pass | Poiseuille limit (Stinson1991) | Square duct: j w rho -> 28.454 eta / w^2 as w -> 0 (w = 3 mm) | 58.2 Pa·s/m² | 58.2 Pa·s/m² | ±0.2% | 0.000409 Pa·s/m² | 0.4 % |
Program loudness (ITU-R BS.1770 / EBU R 128)8/8
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | ITU-R BS.1770-5Annex 1 | 997 Hz sine at 0 dB FS on the left channel, LKFS | -3.01 LKFS | -3.01 LKFS | ±0.01 LKFS | -0.000280 LKFS | 2.8 % |
| Pass | EBU Tech3341:2023 Table 1 case 1 | Integrated loudness of the -23 dBFS stereo sine, LUFS | -23 LUFS | -22.99 LUFS | ±0.1 LUFS | 0.007 LUFS | 7.0 % |
| Pass | EBU Tech3341:2023 Table 1 case 5 | Gated integrated loudness of the -26/-20/-26 dBFS steps, LUFS | -23 LUFS | -22.98 LUFS | ±0.1 LUFS | 0.021 LUFS | 21 % |
| Pass | EBU Tech3341:2023 Table 1 case 6 | Integrated loudness of the 5.0-channel sine (Table 3 weights), LUFS | -23 LUFS | -23.02 LUFS | ±0.1 LUFS | -0.016 LUFS | 16 % |
| Pass | EBU Tech3341:2023 Table 1 case 15 | True-peak level of the fs/4 sine at 0.5 FFS, dBTP | -6 dBTP (+0.2/-0.4 dB) | -6.02 dBTP | [-0.4, 0.2] dBTP | -0.015 dBTP | 28 % |
| Pass | EBU Tech3341:2023 Table 1 case 19 | True-peak level of the fs/4 sine at 1.41 FFS, dBTP | 3 dBTP (+0.2/-0.4 dB) | 3 dBTP | [-0.4, 0.2] dBTP | 0.001 dBTP | 34 % |
| Pass | EBU Tech3342:2023 Table 1 case 1 | Loudness range of the -20/-30 dBFS tone steps, LU | 10 LU | 10 LU | ±1 LU | -3.17e-10 LU | 0.0 % |
| Pass | EBU Tech3342:2023 Table 1 case 3 | Loudness range of the -40/-20 dBFS tone steps, LU | 20 LU | 20 LU | ±1 LU | 2.39e-11 LU | 0.0 % |
Quasi-peak meter (ITU-R BS.468-4)12/12
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | ITU-R BS.468-4Table 2 | Single 1 ms 5 kHz burst (5 periods), % of the steady reading | 13.5 to 21.4 % | 16.85 % | - | +1.928 dB | - |
| Pass | ITU-R BS.468-4Table 2 | Single 2 ms 5 kHz burst (10 periods), % of the steady reading | 22.4 to 31.6 % | 26.72 % | - | +1.458 dB | - |
| Pass | ITU-R BS.468-4Table 2 | Single 5 ms 5 kHz burst (25 periods), % of the steady reading | 34 to 46 % | 40.29 % | - | +1.151 dB | - |
| Pass | ITU-R BS.468-4Table 2 | Single 10 ms 5 kHz burst (50 periods), % of the steady reading | 41 to 55 % | 47.73 % | - | +1.231 dB | - |
| Pass | ITU-R BS.468-4Table 2 | Single 20 ms 5 kHz burst (100 periods), % of the steady reading | 44 to 60 % | 52.58 % | - | +1.146 dB | - |
| Pass | ITU-R BS.468-4Table 2 | Single 50 ms 5 kHz burst (250 periods), % of the steady reading | 50 to 68 % | 58.78 % | - | +1.266 dB | - |
| Pass | ITU-R BS.468-4Table 2 | Single 100 ms 5 kHz burst (500 periods), % of the steady reading | 58 to 78 % | 66.98 % | - | +1.251 dB | - |
| Pass | ITU-R BS.468-4Table 2 | Single 200 ms 5 kHz burst (1000 periods), % of the steady reading | 68 to 92 % | 80.41 % | - | +1.170 dB | - |
| Pass | ITU-R BS.468-4Table 3 | 5 ms 5 kHz bursts at 2 per second, % of the steady reading | 43 to 53 % | 48.11 % | - | +0.840 dB | - |
| Pass | ITU-R BS.468-4Table 3 | 5 ms 5 kHz bursts at 10 per second, % of the steady reading | 72 to 82 % | 75.70 % | - | +0.435 dB | - |
| Pass | ITU-R BS.468-4Table 3 | 5 ms 5 kHz bursts at 100 per second, % of the steady reading | 94 to 100 % | 97.11 % | - | +0.255 dB | - |
| Pass | ITU-R BS.468-4clause 2.6 | Steady 1 kHz sine at 0.775 V r.m.s., dBqps | 0 dBqps | -5.88e-14 dBqps | ±0.000001 dBqps | -5.88e-14 dBqps | 0.0 % |
Broadcast Wave metadata (EBU Tech 3285 / ITU-R BS.2088)14/14
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | EBU Tech3285:2011 (2.3) | bext fixed part: every field at its cumulative offset, 602 bytes | 15 fields byte-identical at offsets 0..422, fixed part 602 B | 15/15 byte-identical, 602 B + CodingHistory | - | - | - |
| Pass | EBU Tech3285:2011 (2.3) | bext round trip: written metadata returns identically through the reader | 13 fields identical, CodingHistory extended | 13/13 identical, history extended | - | - | - |
| Pass | EBU Tech3285:2011 (2.4) | Loudness int16 = 100 x value, ties away from zero: negative examples | -22.644 -> F728h (-2264), -22.645 -> F727h (-2265), -22.646 -> F727h (-2265) | F728h (-2264), F727h (-2265), F727h (-2265) | - | - | - |
| Pass | EBU Tech3285:2011 (2.4) | Loudness int16 = 100 x value, ties away from zero: positive examples | 12.764 -> 04FCh (1276), 12.765 -> 04FDh (1277), 12.766 -> 04FDh (1277) | 04FCh (1276), 04FDh (1277), 04FDh (1277) | - | - | - |
| Pass | EBU Tech3285:2011 (2.4) | Unused loudness parameters: 7FFFh on disk, None through the reader | 7FFFh x 5 on disk; None x 5 reread | 7FFFh, 7FFFh, 7FFFh, 7FFFh, 7FFFh; None x 5 | - | - | - |
| Pass | EBU Tech3285:2011 (2.4) | Out-of-range loudness clamps to 7FFEh/8000h, never the 7FFFh sentinel | 327.9 -> 7FFEh (not the sentinel); -inf -> 8000h | 7FFEh; 8000h | - | - | - |
| Pass | EBU Tech3285:2011 (2.3) | TimeReference: 64-bit first-sample count split low/high at 338/342 | low 370632704 @ 338, high 1 @ 342 (13:30:00 at 96 kHz = 4665600000 samples) | low 370632704, high 1 -> 4665600000 samples, reread equal | - | - | - |
| Pass | EBU Tech3285:2011 (2.3): CodingHistory row per EBU R 98 Appendix 1 | Appended row is A=PCM,F=48000,W=16,M=stereo,T=... + CR/LF (Example 1) | A=PCM,F=48000,W=16,M=stereo,T=(free text, no commas) + CR/LF | A=PCM,F=48000,W=16,M=stereo,T=(free text) + CR/LF | - | - | - |
| Pass | EBU Tech3285:2011 (2.3): CodingHistory row per EBU R 98 Appendix 1 | Prior coding row preserved verbatim, new row added beneath it | 2 rows: Example 2's A/D row intact above, the writer's beneath | 2 rows, prior row byte-identical | - | - | - |
| Pass | EBU Tech3285:2011 (1.1/2.3) | UMID exists from v1 (64 of the 254 reserved bytes): v0 refused, v1 at 348 | v0+UMID refused; v1: Version=0001h, UMID verbatim at 348 | v0 refused; v1: Version=0001h, UMID verbatim | - | - | - |
| Pass | EBU Tech3285:2011 (1.1/2.3) | Loudness exists from v2 (10 of the 190 reserved bytes): v1 refused/zeroed | v1+loudness refused; v1 writes 10 zero bytes, reads None; v2 carries | v1 refused; bytes zeroed, None reread, v2 carries | - | - | - |
| Pass | ITU-R BS.2088-2Annex 1 (4.1/4.2) | ds64 first after WAVE: bw64Size/dataSize u64 pairs at 0/8, table at 24 | ds64 first, >= 28 B: riffSize 24883200072, dataSize 24883200000, tableLength 0 | ds64 @ 12, 28 B: riffSize 24883200072, dataSize 24883200000, tableLength 0 | - | - | - |
| Pass | ITU-R BS.2088-2Annex 1 (3.2/2.4) | Promoted header: FFFFFFFFh sentinel in the outer and data size fields | outer size = data size = FFFFFFFFh, form type WAVE | outer FFFFFFFFh, data FFFFFFFFh, WAVE | - | - | - |
| Pass | ITU-R BS.2088-2Annex 1 (2.4/3.1) | Reader resolves the data size through ds64; BW64 and RF64 fourccs alike | RF64: 48 frames, BW64: 48 frames (via ds64 dataSize = 96 B) | RF64 read as RF64, 48 frames; BW64 read as BW64, 48 frames | - | - | - |
2D FDTD wave simulation (Attenborough & Van Renterghem 2021, Ch. 4)4/4
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | Rigid rectangular box eigenfrequency | Mode (1,1) of a 1.0 x 0.7 m rigid box, f = (c/2)*sqrt(1/lx^2 + 1/ly^2), Hz | 299.06 Hz | 298.91 Hz | ±1.5 Hz | -0.153 Hz | 10 % |
| Pass | Free-field pulse arrival delay | Probe-to-probe delay of a pulse over 0.6 m of air, (r2 - r1)/c, ms | 1.749 ms | 1.756 ms | ±0.05 ms | 0.007 ms | 14 % |
| Pass | 2D Kirchhoff-Helmholtz NTFF: monopole directivity | Far-field pattern ripple of an enclosed line source, dB | 0 dB | 0.044 dB | ±0.2 dB | 0.044 dB | 22 % |
| Pass | 2D Kirchhoff-Helmholtz NTFF: monopole level | NTFF far-field level vs the 2D Green function A sqrt(2/(pi k)), dB | 0 dB | 0.106 dB | ±0.3 dB | 0.106 dB | 35 % |
Swept-sine distortion & phase utilities (Farina / Novak)7/7
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | Farina2000/ Novak et al. 2015 (Chebyshev identity) | 3rd-harmonic response H3 magnitude of a cubic polynomial, re a3/4 | 0.05 | 0.05001 | ±0.0005 | 0.00001 | 2.0 % |
| Pass | Novak et al.2015JAES 63(10), Eqs. 18/49 | Synchronized-sweep phase of H3 (Chebyshev: -sin(3wt)), rad | 3.1416 rad | 3.1411 rad | ±0.005 rad | -0.0005 rad | 10 % |
| Pass | Farina2000AES 108th Conv. (THD from one sweep) | THD(1 kHz) of the polynomial vs sqrt((a2/2)^2+(a3/4)^2)/(1+3a3/4) | 0.06149 | 0.06159 | ±0.001 | 0.0001 | 10 % |
| Pass | Farina2000(distortion rejected from the linear IR) | THD floor of a purely linear path (gain 0.5), max over 100-2000 Hz | 0 | 0.00033 | ±0.001 | 0.00033 | 33 % |
| Pass | Bendat & Piersol, Random Data4eSec. 13.1.4 (Hilbert relation) | Min-phase reconstruction of a strictly min-phase biquad, max err, rad | 0 rad | 1.30e-15 rad | ±1.00e-9 rad | 1.30e-15 rad | 0.0 % |
| Pass | First-order allpass closed form (1-a^2)/(1+2a cos w+a^2) | Group delay of the a = 0.5 allpass at w = pi/2, samples | 0.6 | 0.6 | ±0.00001 | 7.53e-8 | 0.8 % |
| Pass | All-pass decomposition of a pure latency (B&PSec. 13.1.4) | Excess group delay of a biquad delayed 7.25 samples, samples | 7.25 | 7.25 | ±0.00000100 | 1.84e-13 | 0.0 % |
Spherical ground & barriers (Attenborough / Salomons / Bies)7/7
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | Attenborough2eEq. (2.40c) (spherical Q, hard-ground limit) | abs(Q) as Z grows large (Rp -> 1 so (1 - Rp) -> 0 and Q -> 1) | 1 | 1 | ±0.000001 | -2.82e-11 | 0.0 % |
| Pass | Salomons2001Sec. 3.4 (two-ray field over a rigid ground) | dL enhancement at small path difference (constructive, +6 dB) | 6.0206 dB | 6.0205 dB | ±0.1 dB | -0.0001 dB | 0.1 % |
| Pass | Salomons2001Eq. (D.59) (plane-wave Rp, grazing incidence) | Re(Rp) at grazing (hs, hr -> 0, cos(theta) -> 0 so Rp -> -1) | -1 | -1 | ±0.001 | 0.0000480 | 4.8 % |
| Pass | Salomons2001Fig. D.3 (grassland ground dip, sigma = 200 kPa s/m2) | Minimum dL for hs = hr = 2 m, r = 100 m (dip near 395 Hz), dB | -12.7 dB | -12.72 dB | ±0.3 dB | -0.022 dB | 7.3 % |
| Pass | Bies5eEq. (5.138) (Kurze-Anderson, N -> 0) | Barrier attenuation at the shadow boundary N = 0 | 5 dB | 5 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | Bies5eEq. (5.138) (Kurze-Anderson, large-N slope) | Delta(N=10) - Delta(N=1) vs the 10 lg(10) = 10 dB decade growth | 10 dB | 9.8845 dB | ±0.5 dB | -0.1155 dB | 23 % |
| Pass | Attenborough2eEqs. (9.19)-(9.20) (rigid half-plane, shadow boundary) | Exact thin-screen insertion loss at grazing (field halved, 6 dB) | 6.0206 dB | 5.7932 dB | ±0.6 dB | -0.2274 dB | 38 % |
Panel & aperture sound insulation (Bies / Hopkins / Cremer)17/17
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | Bies5eEq. 7.40 (mass law) | 6 dB per octave (500 -> 1000 Hz) | 6.0206 dB | 6.02 dB | ±0.01 dB | -0.0006 dB | 6.0 % |
| Pass | Bies5eEq. 7.40 (mass law) | 6 dB per doubling of mass | 6.0206 dB | 6.02 dB | ±0.01 dB | -0.0006 dB | 6.0 % |
| Pass | Bies5eEq. 7.42 (field incidence) | One-third-octave correction 5.5 dB | 5.5 dB | 5.5 dB | ±0.001 dB | 0 dB | 0.0 % |
| Pass | HopkinsEq. 2.201 / Bies Eq. 7.3 | Coincidence frequency, 6 mm glass | 2079 Hz | 2107.3639 Hz | ±3% | 28.3639 Hz | 45 % |
| Pass | CremerTable 5.1 | Thin-plate point impedance Z = 8 sqrt(B' m'') | 2529.8221 N·s/m | 2529.8221 N·s/m | ±0.00000100 N·s/m | 0 N·s/m | 0.0 % |
| Pass | CremerTable 5.1 | Infinite-beam mobility phase -45 deg | -45 deg | -45 deg | ±0.00000100 deg | 0 deg | 0.0 % |
| Pass | HopkinsEq. 2.229 (Leppington/Maidanik) | Radiation efficiency at f = 2 fc | 1.4142 | 1.4142 | ±1.00e-9 | 2.22e-16 | 0.0 % |
| Pass | BiesEq. 7.62 / Hopkins Eq. 4.73 | Mass-air-mass resonance f0, empty cavity | 76.9484 Hz | 76.8521 Hz | ±0.5% | -0.0962 Hz | 25 % |
| Pass | BiesEq. 7.64 (double wall) | Below f0 = mass law of the combined mass | 11.6144 dB | 11.6144 dB | ±0.00000100 dB | 0 dB | 0.0 % |
| Pass | HopkinsEq. 4.92 (composite) | 1 % open area caps R at 10 lg(S/Sa) | 20 dB | 19.9996 dB | ±0.05 dB | -0.0004 dB | 0.8 % |
| Pass | Vigran Building AcousticsEq. (3.109), printed p. 96 | Flat 1 mm steel plate 1 m x 1 m, f(1,1) | 4.9 Hz | 4.93 Hz | ±0.05 Hz | 0.033 Hz | 66 % |
| Pass | VigranEqs. (3.113)/(3.115), printed p. 96 | Corrugated 1 mm steel plate (H = 10 mm, L = 100 mm), f(2,2) | 102 Hz | 102.09 Hz | ±0.1 Hz | 0.092 Hz | 92 % |
| Pass | Bies5eEq. (7.59) / Vigran Eq. (6.112) | Heckl coincidence-branch constant, dB (rho c = 414) | -13.2 dB | -13.217 dB | ±0.02 dB | -0.017 dB | 85 % |
| Pass | Bies5eEq. (7.60) / Vigran Eq. (6.112) | Heckl recovery-branch constant, dB (rho c = 414) | -23 dB | -23.16 dB | ±0.2 dB | -0.16 dB | 80 % |
| Pass | VigranEq. (6.111) / Bies Eq. (7.38) | Orthotropic diffuse integral below fc1 vs its exact mass-law form | 6.287723 dB | 6.287723 dB | ±0.000001 dB | -1.40e-8 dB | 1.4 % |
| Pass | HopkinsTable A2, printed p. 608 | h.fc products of 25 building-material rows, worst deviation | 0 m·Hz | 0.0476 m·Hz | ±0.06 m·Hz | 0.0476 m·Hz | 79 % |
| Pass | HopkinsEq. 4.99/4.101 (Gomperts slit) | Transmission maximum at first resonance | 1544.9615 Hz | 1542.9615 Hz | ±15 Hz | -2 Hz | 13 % |
Bending-wave plate-junction transmission (Cremer / Craik / Hopkins)6/6
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | HopkinsEq. 5.12 (identical plates) | X-junction corner tau12(0 deg) = 1/8 | 0.125 | 0.125 | ±1.00e-9 | 0 | 0.0 % |
| Pass | HopkinsEqs 5.12 + 5.6 (identical plates) | X-junction corner angular average = 1/12 | 0.0833 | 0.0833 | ±0.00000100 | 0 | 0.0 % |
| Pass | HopkinsEqs 5.12 + 5.6 (identical plates) | L-junction corner angular average = 1/3 | 0.3333 | 0.3333 | ±0.00000100 | 0 | 0.0 % |
| Pass | HopkinsEq. 5.14 (identical plates) | In-line junction tau12(0 deg) = 1 | 1 | 1 | ±1.00e-9 | 0 | 0.0 % |
| Pass | HopkinsEq. 5.7 (SEA consistency) | X-junction reciprocity tau_bar_12 / tau_bar_21 = chi | 1.5 | 1.5 | ±0.00000100 | 6.66e-16 | 0.0 % |
| Pass | HopkinsEq. 5.116 (identical plates, fc_j = f_ref) | X-junction vibration reduction index = 10 lg(12) | 10.7918 dB | 10.7918 dB | ±0.00000100 dB | 0 dB | 0.0 % |
Atmospheric refraction (Salomons rays / GFPE)3/3
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | SalomonsSec. 4.4 (ray turning height, linear profile) | Turning height of a 10 deg ray vs Rc(1 - cos theta0) (circular arc), m | 26.457 m | 26.457 m | ±0.1 m | -3.94e-7 m | 0.0 % |
| Pass | SalomonsEq. (3.4) (GFPE vs spherical-wave ground effect, homogeneous) | PE relative level at 500 m over grassland vs Weyl-Van der Pol, dB | -16.368 dB | -16.402 dB | ±0.5 dB | -0.035 dB | 7.0 % |
| Pass | SalomonsEq. (3.4) (GFPE hard ground vs two-ray, homogeneous) | PE relative level at 500 m over a rigid ground vs the coherent two-ray, dB | 5.997 dB | 5.593 dB | ±0.6 dB | -0.405 dB | 68 % |
Electroacoustics9/9
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | Beranek & Mellow2eEq. (13.117) | Piston resistance R1(x) = 1 - 2 J1(x)/x at x = 2ka = 2 | 0.423275 | 0.423275 | ±0.00001 | 1.92e-7 | 1.9 % |
| Pass | Beranek & Mellow2eEq. (13.118) | Piston reactance X1(x) = 2 H1(x)/x at x = 2ka = 2 | 0.646764 | 0.646764 | ±0.00001 | -2.72e-7 | 2.7 % |
| Pass | Beranek & Mellow2eEq. (13.117) (low-frequency limit) | R1 -> (ka)^2/2 as ka -> 0 (x = 0.02, ka = 0.01) | 0.00005 | 0.00005 | ±0.01% | -8.33e-10 | 17 % |
| Pass | Beranek & Mellow2eEq. (4.151) | Radiation mass M = 8 rho a^3 / 3 (a = 0.1 m, rho = 1.206) | 0.003216 kg | 0.003216 kg | ±1.00e-9 kg | 0 kg | 0.0 % |
| Pass | Beranek & Mellow2eEq. (13.102), Table 14.1 | First directivity null at ka sin(theta) = 3.8317 (first zero of J1) | 0 | -4.87e-17 | ±0.000001 | -4.87e-17 | 0.0 % |
| Pass | Beranek & Mellow2e§4.19 (half-space baffle) | Directivity index DI -> 10 lg 2 = 3.01 dB as ka -> 0 | 3.0103 dB | 3.0103 dB | ±0.001 dB | 2.48e-7 dB | 0.0 % |
| Pass | Long, Architectural Acoustics2eEq. (18.21) | Omnidirectional mic at Zs = -6 dB: L(H-M) <= L(H-L) - 4 dB | 76 dB | 76 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | Long, Architectural Acoustics2eEq. (18.22) | Cardioid mic (DM = -2 dB) at Zs = -6 dB: L(H-M) <= L(H-L) - 2 dB | 78 dB | 78 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | Long, Architectural Acoustics2eEq. (18.23) | Number-of-open-microphones correction 10 lg Nm at Nm = 4 | 6.0206 dB | 6.0206 dB | ±1.00e-12 dB | 0 dB | 0.0 % |
Industrial noise control22/22
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | Bies5eEq. (8.111) | Expansion-chamber peak TL = 10 lg[1 + (1/4)(m - 1/m)^2], m = 4 at kL = pi/2 | 6.5472 dB | 6.5472 dB | ±0.00000100 dB | 0 dB | 0.0 % |
| Pass | Bies5eEq. (8.111) | Expansion-chamber trough TL = 0 at kL = pi (chamber transparent) | 0 dB | 0 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | Bies5eEq. (8.44) / Example 8.1 | Quarter-wave tube tuning f = c/(4 l_e), l_e = 1.516 m -> 56.6 Hz | 56.6 Hz | 56.6 Hz | ±0.1 Hz | 0.003 Hz | 3.0 % |
| Pass | Bies5eEq. (8.46) | Helmholtz resonance f0 = (c/2pi) sqrt(S/(l_e V)) (S=1e-4, l_e=0.02, V=1e-3) | 122.067 Hz | 122.067 Hz | ±0.00000100 Hz | 0 Hz | 0.0 % |
| Pass | Bies5eEq. (8.73) | Side-branch TL = 20 lg abs(1 + rho c/(2 Sd Zb)) (QWT branch, closed form) | 0.1638 dB | 0.1638 dB | ±1.00e-9 dB | 8.33e-17 dB | 0.0 % |
| Pass | Bies5eEqs. (8.141)/(8.148) (four-pole insertion loss) | Insertion loss = transmission loss for the anechoic reference Zs=Zr=rho c/S | 6.2498 dB (= TL) | 6.2498 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | Bies5eEq. (8.275) (Wells' plenum method) | Plenum TL = -10 lg[S_out(cos0/pi r^2 + (1-a)/(Sw a))] (S_out=.1,r=1,Sw=20,a=.2) | 12.8541 dB | 12.8541 dB | ±0.00000100 dB | 0 dB | 0.0 % |
| Pass | Bies5eTable 8.14 (ASHRAE end reflection, flush) | Duct end reflection D = 200 mm at 125 Hz = 10 dB (table node) | 10 dB | 10 dB | ±0.00000100 dB | 0 dB | 0.0 % |
| Pass | Long2eEq. 13.1 with Table 13.5 (ASHRAE 1987 fan model) | Forward-curved fan at Q_REF, P_REF, peak efficiency -> K_F + C_BFI at 500 Hz | 38 dB | 38 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | Long2eEq. 14.12 with Table 14.2 (Reynolds lined rectangular duct) | 18 x 12 in duct, 6 ft, 1 in lining at 1 kHz -> 1.77 (10/3)^0.695 6 dB | 24.5203 dB | 24.5203 dB | ±1.00e-9 dB | 3.55e-15 dB | 0.0 % |
| Pass | Long2eTable 14.4 (ASHRAE 1995 lined flexible duct) | 8 in diameter, 9 ft long -> 6/8/16/25/28/28/18 dB (table node) | 0 dB (max |diff| over the 7 bands) | 0 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | Long2eEq. 14.17 (branch power division) | 25 per cent split with area-matched branches -> -10 lg 0.25 = 6.02 dB | 6.0206 dB | 6.0206 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | Long2eTable 14.9 (worked duct-borne sheet, supply path) | Fan to room, 8 octave bands -> 52/42/30/18/9/-2/-2/-1 dB at the receiver | 0 dB +/-1 (max |diff| over the 8 bands) | 1 dB | ±1 dB | 1 dB | 100 % |
| Pass | Long2eEqs. 13.27-13.33 (Reynolds diffuser self-noise) | 24 x 24 in rectangular diffuser, 312 cfm, 0.05 in pd -> the 33/32/29/23/15 dB row of Table 14.9 | 0 dB +/-1 (max |diff| over the five bands) | 0.8853 dB | ±1 dB | 0.8853 dB | 89 % |
| Pass | ASHRAE 2019Applications Ch. 49 Table 9 | Max neck velocity of a supply outlet for design RC(30) -> 2.2 m/s | 2.2 m/s | 2.2 m/s | ±1.00e-9 m/s | 0 m/s | 0.0 % |
| Pass | Norton & Karczub2eEqs. 7.6/7.8/7.9 (problem 7.1 answer) | 254 mm duct, steam, 200 m/s: (1,0) cut-on 812 Hz and k_x = -8.23 1/m | 0 +/-1 (Hz, and 1/m x100) | 0.591 | ±1 | 0.591 | 59 % |
| Pass | Norton & Karczub2eEq. 7.10 (problem 7.2 answer) | 0.65 x 0.4 m duct, 15 m/s: first three cut-on 264 / 428 / 503 Hz | 0 Hz (max |diff| over the 3 modes) | 0 Hz | ±1.00e-9 Hz | 0 Hz | 0.0 % |
| Pass | Bies5eEqs. (7.103), (7.111) (enclosure, fully absorbing limit) | Enclosure correction C -> 10 lg 0.3 = -5.23 dB as alpha_i -> 1 | -5.2288 dB | -5.2288 dB | ±0.001 dB | 0.0000174 dB | 1.7 % |
| Pass | Norton & Karczub2eEq. (4.101) (problem 4.21 answer) | Double brick wall into an 8 x 9 x 3 m room -> NR 37.5/40.8/49.0/62.8/65.3/65.9 dB | 0 dB +/-0.05 (max |diff| over the 6 bands) | 0.0308 dB | ±0.05 dB | 0.0308 dB | 62 % |
| Pass | Norton & Karczub2e4.6/4.9 (problem 4.18 answer) | Blower in a plant room to the operator room -> 72.3/60.4/41.4/41.0/33.8/30.7 dB | 0 dB +/-0.1 (max |diff| over the 6 bands) | 0.0682 dB | ±0.1 dB | 0.0682 dB | 68 % |
| Pass | Norton & Karczub2eEq. (4.115) (problem 4.16 answer) | Lined compressor enclosure against NC-45 -> required TL 14.4/25.2/28.9/34.4/35.2/34.7/34.7/31.6 dB | 0 dB +/-0.15 (max |diff| over the 8 bands) | 0.1099 dB | ±0.15 dB | 0.1099 dB | 73 % |
| Pass | Norton & Karczub2eTable 4.5 (constant-volume source power) | Source in the intersection of two flat surfaces (Q = 4) -> +10 lg 4 = 6.02 dB | 6.0206 dB | 6.0206 dB | ±1.00e-9 dB | 8.88e-16 dB | 0.0 % |
HVAC noise (VDI 2081)57/57
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | VDI 2081Blatt 2:2005 Table 1, element 1 | Supply fan sound power at 63 Hz, dB | 90.4 dB | 90.41 dB | ±0.05 dB | 0.006 dB | 12 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 1 | Supply fan sound power at 125 Hz, dB | 88.8 dB | 88.82 dB | ±0.05 dB | 0.022 dB | 44 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 1 | Supply fan sound power at 250 Hz, dB | 86.3 dB | 86.32 dB | ±0.05 dB | 0.019 dB | 38 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 1 | Supply fan sound power at 500 Hz, dB | 82.9 dB | 82.91 dB | ±0.05 dB | 0.01 dB | 20 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 1 | Supply fan sound power at 1000 Hz, dB | 78.6 dB | 78.59 dB | ±0.05 dB | -0.006 dB | 12 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 1 | Supply fan sound power at 2000 Hz, dB | 73.4 dB | 73.37 dB | ±0.05 dB | -0.027 dB | 54 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 1 | Supply fan sound power at 4000 Hz, dB | 67.2 dB | 67.24 dB | ±0.05 dB | 0.045 dB | 90 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 1 | Supply fan sound power at 8000 Hz, dB | 60.2 dB | 60.21 dB | ±0.05 dB | 0.011 dB | 22 % |
| Pass | VDI 2081Blatt 1:2001 Eq. (13) | Fan sound power level L_W4 from the duty, dB | 96 dB | 96.041 dB | ±0.05 dB | 0.041 dB | 82 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 1 | Supply fan total sound power level, dB | 94.1 dB | 94.124 dB | ±0.05 dB | 0.024 dB | 48 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 1 | Supply fan A-weighted sound power level, dB | 84.5 dB | 84.511 dB | ±0.05 dB | 0.011 dB | 22 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 5 | Rectangular duct 500 x 400 mm over 4 m, worst octave deviation, dB | 0 dB | 0 dB | ±0.00000100 dB | 0 dB | 0.0 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 13 | Round duct 160 mm over 1 m, worst octave deviation, dB | 0 dB | 0 dB | ±0.00000100 dB | 0 dB | 0.0 % |
| Pass | VDI 2081Blatt 1:2001 Eq. (34) | Limit frequency of a 160 mm round duct, Hz | 1245 Hz | 1245.2 Hz | ±0.5 Hz | 0.25 Hz | 50 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 14 | Round bend 160 mm, Table 7 shifted onto its limit frequency, worst octave deviation, dB | 0 dB | 0 dB | ±0.00000100 dB | 0 dB | 0.0 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 3 | Junction into 0.3 m2 of 1.08 m2 total, dB | 5.6 dB | 5.563 dB | ±0.05 dB | -0.037 dB | 74 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 7 | Junction into 0.049 m2 of 0.147 m2 total, dB | 4.8 dB | 4.771 dB | ±0.05 dB | -0.029 dB | 58 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 16 | Junction into 0.02 m2 of 0.04 m2 total, dB | 3 dB | 3.01 dB | ±0.05 dB | 0.01 dB | 20 % |
| Pass | VDI 2081Blatt 1:2001 Eq. (16) | Flow noise of a straight duct, overall sound power level, dB | 38 dB | 38.31 dB | ±0.5 dB | 0.306 dB | 61 % |
| Pass | VDI 2081Blatt 1:2001 Eq. (17) | Flow noise of a straight duct, A-weighted sound power level, dB | 22 dB | 21.62 dB | ±0.5 dB | -0.376 dB | 75 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 3 | Junction flow noise at 63 Hz, dB | 39.1 dB | 39.09 dB | ±0.05 dB | -0.011 dB | 22 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 3 | Junction flow noise at 125 Hz, dB | 33.5 dB | 33.53 dB | ±0.05 dB | 0.031 dB | 62 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 3 | Junction flow noise at 250 Hz, dB | 27.4 dB | 27.36 dB | ±0.05 dB | -0.039 dB | 78 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 3 | Junction flow noise at 500 Hz, dB | 20.7 dB | 20.72 dB | ±0.05 dB | 0.021 dB | 42 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 3 | Junction flow noise at 1000 Hz, dB | 13.7 dB | 13.67 dB | ±0.05 dB | -0.034 dB | 68 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 3 | Junction flow noise at 2000 Hz, dB | 6.2 dB | 6.24 dB | ±0.05 dB | 0.038 dB | 76 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 3 | Junction flow noise at 4000 Hz, dB | -1.5 dB | -1.53 dB | ±0.05 dB | -0.028 dB | 56 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 3 | Junction flow noise at 8000 Hz, dB | -9.6 dB | -9.61 dB | ±0.05 dB | -0.006 dB | 12 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 14 | Bend flow noise, worst octave deviation, dB | 0 dB | 0.0496 dB | ±0.05 dB | 0.0496 dB | 99 % |
| Pass | VDI 2081Blatt 1:2001 Eq. (49) | Splitter silencer self-noise, A-weighted sound power level, dB | 52 dB | 52.099 dB | ±0.5 dB | 0.099 dB | 20 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 2 | Splitter silencer self-noise at 63 Hz, dB | 62.7 dB | 62.74 dB | ±0.05 dB | 0.036 dB | 72 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 2 | Splitter silencer self-noise at 125 Hz, dB | 58.3 dB | 58.26 dB | ±0.05 dB | -0.038 dB | 76 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 2 | Splitter silencer self-noise at 250 Hz, dB | 53.7 dB | 53.72 dB | ±0.05 dB | 0.019 dB | 38 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 2 | Splitter silencer self-noise at 500 Hz, dB | 49.4 dB | 49.39 dB | ±0.05 dB | -0.005 dB | 10.0 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 2 | Splitter silencer self-noise at 1000 Hz, dB | 45.4 dB | 45.43 dB | ±0.05 dB | 0.026 dB | 52 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 2 | Splitter silencer self-noise at 2000 Hz, dB | 41.9 dB | 41.85 dB | ±0.05 dB | -0.046 dB | 92 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 2 | Splitter silencer self-noise at 4000 Hz, dB | 38.6 dB | 38.62 dB | ±0.05 dB | 0.017 dB | 34 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 2 | Splitter silencer self-noise at 8000 Hz, dB | 35.6 dB | 35.56 dB | ±0.05 dB | -0.041 dB | 82 % |
| Pass | VDI 2081Blatt 2:2005 Table 2, element 18 | End reflection of a 200 mm nozzle in a ceiling, worst octave deviation, dB | 0 dB | 0.0449 dB | ±0.05 dB | 0.0449 dB | 90 % |
| Pass | VDI 2081Blatt 2:2005 Section 1.1 | Spectral assessment correction K_A, worst octave deviation, dB | 0 dB | 0 dB | ±1.00e-9 dB | 0 dB | 0.0 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, elements 1 to 3 | Chained level after fan, silencer and junction, worst octave deviation, dB | 0 dB | 0.0719 dB | ±0.1 dB | 0.0719 dB | 72 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 20 | Room attenuation of a ceiling diffuser, worst octave deviation, dB | 0 dB | 0.0467 dB | ±0.05 dB | 0.0467 dB | 93 % |
| Pass | VDI 2081Blatt 1:2001 Eq. (36) | Room attenuation of a hemispherical outlet, dB | 5.7 dB | 5.675 dB | ±0.05 dB | -0.025 dB | 50 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 20 | Sound pressure level in room 102, worst octave deviation, dB | 0 dB | 0.4913 dB | ±0.5 dB | 0.4913 dB | 98 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 20 | Total sound pressure level in room 102, dB | 51.4 dB | 51.384 dB | ±0.05 dB | -0.016 dB | 32 % |
| Pass | VDI 2081Blatt 2:2005 Table 1, element 20 | A-weighted sound pressure level in room 102, dB | 40 dB | 40.037 dB | ±0.05 dB | 0.037 dB | 74 % |
| Pass | VDI 2081Blatt 1:2001 Section 6.3, Figure 26 | Reflection at a section change of ratio 0.05, dB | 7.4135 dB | 7.4135 dB | ±0.05 dB | 0 dB | 0.0 % |
| Pass | VDI 2081Blatt 1:2001 Section 6.3, Figure 26 | Reflection at a section change of ratio 0.1, dB | 4.8073 dB | 4.8073 dB | ±0.05 dB | 0 dB | 0.0 % |
| Pass | VDI 2081Blatt 1:2001 Section 6.3, Figure 26 | Reflection at a section change of ratio 0.2, dB | 2.5527 dB | 2.5527 dB | ±0.05 dB | 0 dB | 0.0 % |
| Pass | VDI 2081Blatt 1:2001 Section 6.3, Figure 26 | Reflection at a section change of ratio 0.5, dB | 0.5115 dB | 0.5115 dB | ±0.05 dB | 0 dB | 0.0 % |
| Pass | VDI 2081Blatt 1:2001 Section 6.3, Figure 26 | Reflection at a section change of ratio 1, dB | 0 dB | 0 dB | ±0.05 dB | 0 dB | 0.0 % |
| Pass | VDI 2081Blatt 1:2001 Section 6.3, Figure 26 | Reflection at a section change of ratio 2, dB | 0.5115 dB | 0.5115 dB | ±0.05 dB | 0 dB | 0.0 % |
| Pass | VDI 2081Blatt 1:2001 Section 6.3, Figure 26 | Reflection at a section change of ratio 5, dB | 2.5527 dB | 2.5527 dB | ±0.05 dB | 0 dB | 0.0 % |
| Pass | VDI 2081Blatt 1:2001 Section 6.3, Figure 26 | Reflection at a section change of ratio 7, dB | 3.5902 dB | 3.5902 dB | ±0.05 dB | 0 dB | 0.0 % |
| Pass | VDI 2081Blatt 1:2001 Section 6.3, Figure 26 | Reflection at a section change of ratio 10, dB | 4.8073 dB | 4.8073 dB | ±0.05 dB | 0 dB | 0.0 % |
| Pass | VDI 2081Blatt 1:2001 Section 6.3, Figure 26 | Bands a sudden increase still reflects in, of eight | 2 | 2 | ±0.5 | 0 | 0.0 % |
| Pass | VDI 2081Blatt 1:2001 Section 6.3 | Ceiling VDI 3733 recommends for a section change, dB | 5 dB | 5 dB | ±0.05 dB | 0 dB | 0.0 % |
CNOSSOS-EU railway source (Directive 2002/49/EC Annex II)8/8
| Status | Standard | Quantity | Expected (norm) | Computed | Limit | Deviation | Used |
|---|---|---|---|---|---|---|---|
| Pass | CIRCABC CNOSSOS-EUrailway emission test set | Line power of the 123 committed cases of the published test set, both source heights, 8 octave bands each, dB re 1 pW/m | <= 0.01 dB on 984 published band levels (123 cases) | 0.0055 dB | ±0.01 dB | 0.0055 dB | 55 % |
| Pass | Appendix GTables G-1a and G-1b (roughness) | Wheel roughness by brake type (3 x 32) and rail roughness by class (2 x 35), dB | 166 coefficients identical | 166/166 coefficients | ±0 | 0 | 0.0 % |
| Pass | Directive (EU)2021/1226 Annex pt (20)(b), Table G-2 | Contact filter A3 for 5 wheel load and diameter combinations x 35 wavelengths, dB | 175 coefficients identical | 175/175 coefficients | ±0 | 0 | 0.0 % |
| Pass | Appendix GTable G-3 (transfer functions) | Track transfer (8 x 24), wheel transfer (4 x 24) and superstructure transfer (24), dB per axle | 312 coefficients identical | 312/312 coefficients | ±0 | 0 | 0.0 % |
| Pass | Appendix GTables G-4 to G-7 | Impact roughness (35), traction (5 x 2 x 24), aerodynamic (2 x 24) and bridge (2 x 24), dB | 371 coefficients identical | 371/371 coefficients | ±0 | 0 | 0.0 % |
| Pass | Directive 2002/49/ECAnnex II 2.3.2, formula (2.3.15) | Horizontal dipole directivity along the track: 10 lg(0,01) at phi = 0 | -20 dB | -20 dB | ±1.00e-12 dB | 0 dB | 0.0 % |
| Pass | Directive 2002/49/ECAnnex II 2.3.2, formulae (2.3.13) and (2.3.14) | Aerodynamic speed law at v0 = 300 km/h reduces to Table G-6 verbatim | 50 lg 2 = 15.051 dB on every band | 1.07e-14 dB | ±1.00e-12 dB | 1.07e-14 dB | 1.1 % |
| Pass | Directive 2002/49/ECAnnex II 2.3.2, formula (2.3.12) | Impact roughness at the tabulated joint density n_l = 0,01 per m | Table G-4 verbatim | 0 dB | ±1.00e-12 dB | 0 dB | 0.0 % |