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Module « scipy.signal »

Fonction lp2lp_zpk - module scipy.signal

Signature de la fonction lp2lp_zpk

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

Description

help(scipy.signal.lp2lp_zpk)

Transform a lowpass filter prototype to a different frequency.

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.

See Also
--------
lp2hp_zpk, lp2bp_zpk, lp2bs_zpk, bilinear
lp2lp

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

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

.. versionadded:: 1.1.0

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)

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