q_from_decay()

MAYAFLUX_API double MayaFlux::Kinesis::Discrete::q_from_decay ( double  frequency, double  seconds, double  sample_rate  )

noexcept

Q that gives the bandpass section a stated ring time.

Parameters

frequency	Centre frequency in Hz
seconds	Time for the ring to fall by 1/e
sample_rate	Sample rate in Hz

Exact for the biquad_bandpass family, whose pole radius squared is (1 - alpha) / (1 + alpha). The result is not limited to any range.

Definition at line 157 of file Coefficients.cpp.

{
    const double radius = pole_radius_from_decay(seconds, sample_rate);
    const double radius_sq = radius * radius;
    const double alpha = (1.0 - radius_sq) / (1.0 + radius_sq);
    const auto t = terms(frequency, 1.0, sample_rate);
    return t.sinw0 / (2.0 * alpha);
}

References alpha, frequency, pole_radius_from_decay(), and radius.

Referenced by MayaFlux::Nodes::Network::ResonatorNetwork::set_decay().

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