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Module « scipy.signal »

Fonction lp2bs_zpk - module scipy.signal

Signature de la fonction lp2bs_zpk

def lp2bs_zpk(z, p, k, wo=1.0, bw=1.0) 

Description

help(scipy.signal.lp2bs_zpk)

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.

See Also
--------
lp2lp_zpk, lp2hp_zpk, lp2bp_zpk, bilinear
lp2bs

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

.. math:: 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`.

.. versionadded:: 1.1.0

Examples
--------
Transform a low-pass filter represented in 'zpk' (Zero-Pole-Gain) form
into a bandstop filter represented in 'zpk' form, with a center frequency wo and
bandwidth bw.

>>> from scipy.signal import lp2bs_zpk
>>> z   = [             ]
>>> p   = [ 0.7 ,    -1 ]
>>> k   = 9
>>> wo  = 0.5
>>> bw  = 10
>>> lp2bs_zpk(z, p, k, wo, bw)
(   array([0.+0.5j, 0.+0.5j, 0.-0.5j, 0.-0.5j]),
    array([14.2681928 +0.j, -0.02506281+0.j,  0.01752149+0.j, -9.97493719+0.j]),
    -12.857142857142858)

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