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How to fit a set of serie biquadratic filters to a transfer function

Asked by Romain Liechti on 24 Apr 2019
I need to fit a transfer function model to a set of 7 series filter of know form. These filters are of the classic form : LowPass and High pass first and second order, peak, shelf, allpass etc. I already have functions of all the filter with dedicated parameters, quality factor, gain and frequency.
I have a transfer function of 14 poles and 14 zeros and I need to express this function as a serie of my 7 predefined filters. How should I do that ?

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