Cookbook Formula For Audio Eq By Robert Bristow-Johnson

There is conflict in caculating "Q" in shelving iir_filter ...

https://ez.analog.com/dsp/sigmadsp/f/q-a/166623/there-is-conflict-in-caculating-q-in-shelving-iir_filter-from-parameter-to-coefficient-which-one-is-correct#:~:text=In%20the%20literature%20%22%20Cookbook%20formulae%20for%20audio,the%20link%20site%20is%20given%20by%20Mr.%20kJBob.

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Cookbook formulae for audio EQ biquad filter coefficients

https://webaudio.github.io/Audio-EQ-Cookbook/audio-eq-cookbook.html

y [ n] = ( b 0 a 0) x [ n] + ( b 1 a 0) x [ n − 1] + ( b 2 a 0) x [ n − 2] (4) − ( a 1 a 0) y [ n − 1] − ( a 2 a 0) y [ n − 2] This is probably both the best and the easiest method to implement in the 56K and other fixed-point or floating-point architectures with a double wide accumulator. Begin with these user defined parameters: F s

Audio EQ Cookbook - W3

https://www.w3.org/TR/audio-eq-cookbook/

Cookbook formulae for audio EQ biquad filter coefficients

http://shepazu.github.io/Audio-EQ-Cookbook/audio-eq-cookbook.html

1Q=2⋅sinh(ln(2)2⋅BW) The relationship between shelf slope and Q is 1Q=(A+1A)⋅(1S-1)+22⋅A⋅α=sin(ω0)⋅(A2+1)⋅(1S-1)+2⋅A is a handy intermediate variable for shelving EQ filters. Finally, compute the coefficients for whichever filter type you want: (The analog prototypes, H(s), are shown for each filter type for normalized frequency.) LPF

RBJ Audio-EQ-Cookbook — Musicdsp.org documentation

https://www.musicdsp.org/en/latest/Filters/197-rbj-audio-eq-cookbook.html

The shelf slope, in > dB/octave, remains proportional to S for all other values for a > fixed f0/Fs and dBgain. The precise relation for both low and high shelf filters is S = -s * log_2(10)/40 * sin(w0)/w0 * (A^2+1)/(A^2-1) where s is the true shelf midpoint slope in dB/oct and w0, A are defined in the Cookbook just below the quoted paragraph.

RBJ Audio-EQ-Cookbook — Musicdsp.org documentation

https://www.musicdsp.org/en/latest/Filters/198-rbj-audio-eq-cookbook.html

It results in some kind of bad resonance at higher samplerates. Now I found this 'beta' in an older version of your paper (I think), describing: -- beta = sqrt (A)/Q (for shelving EQ filters only) = sqrt (A)*sqrt [ (A + 1/A)* (1/S - 1) + 2 ] (if shelf slope is specified) = sqrt [ (A^2 + 1)/S - (A-1)^2 ] -- ..and here the sqrt (A)*sqrt [ (A + 1 ...