Wednesday, August 1, 2018

sound - Resonant peak frequencies for phaser effect


I have a conventional phaser setup with allpass filters and feedback.



I can calculate the peaks frequencies of the phaser when the allpass delays are set to 1 (then they work as simple one sample delays). Adding two allpass delays will give an additional peak, and the peak frequencies for peaks i = 1 to N is found by:


(i / (N + 0.5) ) * SampleRate / 2 

where N is the number of peaks (and the number of allpass-delays divided by 2). So if you have a 6-stage phaser at 44100, the 3 peaks will be at:


(1 / (3 + 0.5) ) * 44100 / 2 = 6300
(2 / (3 + 0.5) ) * 44100 / 2 = 12600
(3 / (3 + 0.5) ) * 44100 / 2 = 18900

However, these frequencies start warping when the allpass-delays are not set to 1:


Phaser using 8 allpass filters



How can I calculate the peak frequencies when the allpass-delays are not set to 1?




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