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Module « scipy.signal »

Fonction lp2hp_zpk - module scipy.signal

Signature de la fonction lp2hp_zpk

def lp2hp_zpk(z, p, k, wo=1.0) 

Description

help(scipy.signal.lp2hp_zpk)

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

Notes
-----
This is derived from the s-plane substitution

.. math:: s \rightarrow \frac{\omega_0}{s}

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

.. versionadded:: 1.1.0

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

>>> from scipy.signal import lp2hp_zpk
>>> z   = [ -2 + 3j ,  -0.5 - 0.8j ]
>>> p   = [ -1      ,  -4          ]
>>> k   = 10
>>> wo  = 0.6
>>> lp2hp_zpk(z, p, k, wo)
(   array([-0.09230769-0.13846154j, -0.33707865+0.53932584j]),
    array([-0.6 , -0.15]),
    8.5)

Vous êtes un professionnel et vous avez besoin d'une formation ? RAG (Retrieval-Augmented Generation)
et Fine Tuning d'un LLM Voir le programme détaillé