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bundles / scipy 1.17.1 / scipy / signal / _filter_design / lp2lp_zpk

function

scipy.signal._filter_design:lp2lp_zpk

source: /scipy/signal/_filter_design.py :3019

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

Array API Standard Support

lp2lp_zpk has experimental support for Python Array API Standard compatible backends in addition to NumPy. Please consider testing these features by setting an environment variable SCIPY_ARRAY_API=1 and providing CuPy, PyTorch, JAX, or Dask arrays as array arguments. The following combinations of backend and device (or other capability) are supported.

====================  ====================  ====================
Library               CPU                   GPU
====================  ====================  ====================
NumPy                 ✅                     n/a                 
CuPy                  n/a                   ✅                   
PyTorch               ✅                     ✅                   
JAX                   ⚠️ no JIT
Dask                  ⚠️ computes graph     n/a                 
====================  ====================  ====================

See dev-arrayapi for more information.

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)

See also

bilinear
lp2bp_zpk
lp2bs_zpk
lp2hp_zpk
lp2lp

Aliases

  • scipy.signal.lp2lp_zpk

Referenced by

This package