cupyx.scipy.signal.lp2hp_zpk#

cupyx.scipy.signal.lp2hp_zpk(z, p, k, wo=1.0)[source]#

Transform a lowpass filter prototype to a highpass filter.

Return an analog high-pass filter with cutoff frequency wo from an analog low-pass filter prototype with unity cutoff frequency, using zeros, poles, and gain (‘zpk’) representation.

Parameters:

  • z (array_like) – Zeros of the analog filter transfer function.

  • p (array_like) – Poles of the analog filter transfer function.

  • k (float) – System gain of the analog filter transfer function.

  • wo (float) – Desired cutoff, as angular frequency (e.g., rad/s). Defaults to no change.

Returns:

  • z (ndarray) – Zeros of the transformed high-pass filter transfer function.

  • p (ndarray) – Poles of the transformed high-pass filter transfer function.

  • k (float) – System gain of the transformed high-pass filter.

See also

lp2lp_zpk, lp2bp_zpk, lp2bs_zpk, bilinear, lp2hp, scipy.signal.lp2hp_zpk

Notes

This is derived from the s-plane substitution

\[s \rightarrow \frac{\omega_0}{s}\]

This maintains symmetry of the lowpass and highpass responses on a logarithmic scale.