cupyx.scipy.signal.lp2bs_zpk#
- cupyx.scipy.signal.lp2bs_zpk(z, p, k, wo=1.0, bw=1.0)[source]#
Transform a lowpass filter prototype to a bandstop filter.
Return an analog band-stop filter with center frequency wo and stopband width bw 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 stopband center, as angular frequency (e.g., rad/s). Defaults to no change.
bw (float) – Desired stopband width, as angular frequency (e.g., rad/s). Defaults to 1.
- Returns:
z (ndarray) – Zeros of the transformed band-stop filter transfer function.
p (ndarray) – Poles of the transformed band-stop filter transfer function.
k (float) – System gain of the transformed band-stop filter.
Notes
This is derived from the s-plane substitution
\[s \rightarrow \frac{s \cdot \mathrm{BW}}{s^2 + {\omega_0}^2}\]This is the “wideband” transformation, producing a stopband with geometric (log frequency) symmetry about wo.