`scipy.signal._filter_design:lp2lp_zpk`

source: build-install/usr/lib/python3.14/site-packages/scipy/signal/_filter_design.py:3039

Signature

def lp2lp_zpk(z, p, k, wo = 1.0)

Summary

Transform a lowpass filter prototype to a different frequency.

Extended Summary

Return an analog low-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 low-pass filter transfer function.
p : ndarray: Poles of the transformed low-pass filter transfer function.
k : float: System gain of the transformed low-pass filter.

Notes

This is derived from the s-plane substitution

s \to \frac{s}{ω _{0}}

Examples

Use the 'zpk' (Zero-Pole-Gain) representation of a lowpass filter to transform it to a new 'zpk' representation associated with a cutoff frequency wo.

from scipy.signal import lp2lp_zpk
z   = [7,   2]
p   = [5,   13]
k   = 0.8
wo  = 0.4

✓

lp2lp_zpk(z, p, k, wo)

✗

(array([2.8, 0.8]), array([2. , 5.2]), 0.8)

`scipy.signal._filter_design:lp2lp_zpk`

Signature

Summary

Extended Summary

Parameters

Returns

Notes

Examples

See also

Aliases

Referenced by

This package