one_pole()

MAYAFLUX_API void MayaFlux::Kinesis::Discrete::one_pole	(	double	pole,
		std::vector< double > &	a,
		std::vector< double > &	b
	)

One-pole filter specified by pole position.

A positive pole gives a lowpass whose smoothing increases as the value approaches 1.0; a negative pole gives a highpass. The numerator normalises DC gain to unity for positive poles and Nyquist gain to unity for negative.

Parameters

pole	Pole position on the real axis, clamped to (-0.9999, 0.9999)
a	Denominator output, resized to 2, a[0] == 1.0
b	Numerator output, resized to 1

Definition at line 284 of file Coefficients.cpp.

{
    const double p = std::clamp(pole, -0.9999, 0.9999);
    a.assign({ 1.0, -p });
    b.assign({ 1.0 - std::abs(p) });
}

References a, and b.