On 5/03/2014 7:56 AM, Ethan Duni wrote:
Seems like somebody somewhere should have already thought
through the problem of matching a single biquad stage to an arbitrary
frequency response - anybody?

Pretty sure that the oft-cited Knud Bank Christensen paper does LMS fit of a biquad over an arbitrary sampled frequency response. In the paper they match a low-order analog filter response curve, but from memory the technique breaks the target response into frequency bands, as such it should be usable for an arbitrary response. Maybe that's not the most efficient approach for a real-time situation, but it will give you an optimal fit.

Knud Bank Christensen, "A Generalization of the Biquadratic Parametric Equalizer," AES 115, 2003, New York.

Ross.
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