Design one RBJ-cookbook biquad and report its numerical behaviour.

The identical function behind the /lab/biquad coefficient tables. Returns coefficients at the requested sample rate, coefficients at every other rate whose Nyquist limit clears the corner, pole/zero geometry, the −3 dB points solved by bisection, a Q sweep, a gain sweep where the type uses gain, and the quantised forms. The 240-point response curve is omitted unless include=curve is passed. Non-finite values (a notch is −∞ at f0; a low-pass is −∞ at Nyquist) are encoded as the strings "Infinity", "-Infinity" and "NaN" — JSON has no other honest option, and null would be a different answer.

Every result carries provenance.canonicalUrl — the published page for these exact inputs, or the lane hub when they are off the published grid.