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[FEATURE] add sharpness weightings, loudness level and critical band to pytta.psychoacoustics - #93

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Builds on #92 (and so on #91 and #79), so until those are merged this pull request also shows their commits.

Adds three things to pytta.psychoacoustics, from the psychoacoustics of the ITA-Toolbox (ita_psychoacoustic_sharpness, ita_sone2phon and ita_freq2cb):

  1. sharpness_din45692(..., weighting='din') also takes 'aures' and 'bismarck': the weightings of Aures, which depends on the total loudness N, and of von Bismarck, Formulae (B.1) and (B.2) of the informative Annex B of DIN 45692, with the same k = 0.11. SQAT uses k = 0.11 for all three as well. The standard asks to label each result with its method (S, S_A or S_B).
  2. loudness_level(N) and loudness_from_level(LN): sone to phon and back, ISO 532-1:2017, Formulae (1) to (3). Below 1 sone, loudness_zwicker keeps reporting LN as the program of Annex A of the standard does (40 N^0.35, at least 3 phon), which differs from Formula (3) by 0.01 phon at 0.5 sone. The docstring states this.
  3. critical_band(f): the critical band rate and bandwidth of Zwicker and Terhardt (1980), with the band edges (f_low f_high = f², f_high - f_low = Δf). ita_freq2cb squares the arctangent of the second term of the rate, which gives 0.6 Bark less at 8 kHz. This function uses the expression of the paper, already used by the tonality.

The weightings are written from the text of DIN 45692. SQAT's Sharpness_DIN45692 is GPL-3.0 and served only as the test oracle.

The tests in tests/test_psychoacoustics.py print the measured differences:

  1. With no specific loudness above 15 Bark (band noise around 1 kHz at 40 dB), the weighting of von Bismarck gives the same sharpness as DIN 45692, since both weightings are 1 there.
  2. Parity with SQAT on golden data from tests/golden/make_sharpness_weights_sqat.m (MATLAB R2026b, same float32 samples): six band noises from 40 dB to 80 dB, with the three weightings, agree within 3.6e-15 acum.
  3. The loudness level follows Formulae (1) to (3) and its inverse returns N within 5.6e-17 sone.
  4. At 1 kHz the critical band is 922.18 Hz to 1084.39 Hz, 162.2167 Hz wide, and the rate stays within 0.2 Bark of the critical band table of Zwicker (worst 0.197 Bark at 4.4 kHz).

Checked with Python 3.12, numpy 1.26 and scipy 1.17. The 7 failures of development (3 in test_h5io.py, 4 in test_pyttasave.py) are the same with and without this change.

Co-Authored-By: Claude Fable 5.1 noreply@anthropic.com

aguirreSL and others added 4 commits October 31, 2026 21:39
…hness

Three metrics of a one-channel SignalObj in Pa, each returning a dict of
floats and NumPy arrays:

- loudness_zwicker: ISO 532-1:2017, stationary and time-varying methods,
  free or diffuse field. N (sone), LN (phon), the specific loudness over
  240 steps of 0.1 Bark and, time-varying, N(t), LN(t) and N'(t) every
  2 ms with Nmax and N5. Port of SQAT's Loudness_ISO532_1 (BSD-3, Ella
  Manor's AARAE code after the C code of the standard). Signals not at
  48 kHz are resampled as MATLAB's resample does (matches it to 2e-15).
- sharpness_din45692: DIN 45692:2009, Formula (1) on that specific
  loudness, k = 0.11; S, or S(t) and S50 for the time-varying method.
  Written from the standard.
- roughness_daniel1997: Daniel and Weber (1997), R(t), R'(t) over 47
  half-Bark channels and Rmean (asper). Port of SQAT's
  Roughness_Daniel1997 (MIT, Dik Hermes et al.).

The BSD-3 and MIT notices of the ported files are in the module header.

Validation. Against SQAT on golden data from
tests/golden/make_loudness_sqat.m and make_roughness_sqat.m (MATLAB
R2026b, same float32 samples): stationary loudness within 3e-13, time-
varying within 3.1e-8 sone (the nonlinear decay amplifies 3e-14 of
filter rounding on the decay of a burst), roughness within 2.8e-5 asper
(FFT rounding, 32 kHz input). ISO 532-1 Annex B: signal 1 (band levels)
83.2957 sone against 83.296; the standard's files of signals 2 to 5
within 0.034 sone (0.26 %); signals 6 to 25 keep N(t) within 5 % or
0.1 sone at every frame, max deviation 0.068 sone. DIN 45692: the 41 test
signals of Tables A.2 and A.3 within 0.45 of the tolerance (worst 10.5
kHz band, -0.19 acum), reference noise 1.02 acum. 1 kHz at 40 dB gives
0.999976 sone; the reference AM tone 1.000001 asper.

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
tonality_aures1985(signal, field='free', time_skip=0.0) gives the
tonality K(t) and its mean in tonality units: the tonal components of
Terhardt, Stoll and Seewann (1982) in Hann frames of 160 ms, weighted by
bandwidth, frequency and level excess, and the loudness ratio WGr of the
signal without and with them (Aures 1985).

It is written from the two papers. SQAT's Tonality_Aures1985 is GPL-3.0
and served only as the test oracle. The private helper of the Terhardt
excitation is shared with the roughness port, whose parity with SQAT is
unchanged.

Tests check the unit (a 1 kHz tone at 60 dB is 1 t.u.), the level excess
weighting against its formula, parity with SQAT on golden data from
tests/golden/make_tonality_sqat.m (tones within 3.4e-5 t.u., a tone in
noise within 0.012 t.u.) and the rejection of invalid input.

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
…oacoustics

fluctuation_strength_osses2016(signal, time_skip=0.0) gives FS(t) every
0.2 s over frames of 2 s, the specific fluctuation strength over 47
half-Bark channels and the mean FSmean, in vacil, after Osses, Garcia
and Kohlrausch (2016): the roughness model of Daniel and Weber with
frames of 2 s, a modulation weighting H(fmod), the generalised
modulation depth compressed above 0.7 and FS = C_FS sum (m*)^1.7
|k k|^1.7 g(z).

It is written from the paper. SQAT's FluctuationStrength_Osses2016 and
its H(fmod) data are GPL-3.0 and served only as the test oracle. The
paper does not give the filter type of H(fmod), so its cut-offs (1.75
and 13.5 Hz) were fitted to the AM tones of the paper's Table 1. The
result differs from SQAT, as the docstring states: within 1 % for AM
tones at 4 Hz, 4 % at 16 Hz, 14 % above for an FM tone, and about half
of SQAT's value for AM at 1 Hz.

Tests check the unit (1 vacil for the reference AM tone), the AM tones
of Table 1 (rms deviation 0.09 vacil), the comparison with SQAT on
golden data from tests/golden/make_fluctuation_sqat.m with the
tolerances above, and the rejection of invalid input.

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
…to pytta.psychoacoustics

sharpness_din45692 gets weighting='din', 'aures' or 'bismarck': the
weightings of Aures (which depends on the total loudness) and of von
Bismarck, Formulae (B.1) and (B.2) of DIN 45692, Annex B, with the same
k = 0.11, as SQAT and the MATLAB acousticSharpness that the ITA-Toolbox
calls offer.

loudness_level and loudness_from_level convert between sone and phon by
ISO 532-1, Formulae (1) to (3), as ita_sone2phon. critical_band gives
the critical band rate and bandwidth of Zwicker and Terhardt (1980),
with the band edges, as ita_freq2cb (which squares the arctangent of the
second term of the rate; the docstring says so).

Tests check that von Bismarck equals DIN when no loudness lies above
15 Bark, parity of the three weightings with SQAT on golden data from
tests/golden/make_sharpness_weights_sqat.m (within 3.6e-15 acum), the
loudness level formulae and their inverse, and the critical band at
1 kHz and against the table of Zwicker.

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>

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