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Module « scipy.signal »

Fonction lp2bp_zpk - module scipy.signal

Signature de la fonction lp2bp_zpk

def lp2bp_zpk(z, p, k, wo=1.0, bw=1.0) 

Description

help(scipy.signal.lp2bp_zpk)

Transform a lowpass filter prototype to a bandpass filter.

Return an analog band-pass filter with center frequency `wo` and
bandwidth `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 passband center, as angular frequency (e.g., rad/s).
    Defaults to no change.
bw : float
    Desired passband width, as angular frequency (e.g., rad/s).
    Defaults to 1.

Returns
-------
z : ndarray
    Zeros of the transformed band-pass filter transfer function.
p : ndarray
    Poles of the transformed band-pass filter transfer function.
k : float
    System gain of the transformed band-pass filter.

See Also
--------
lp2lp_zpk, lp2hp_zpk, lp2bs_zpk, bilinear
lp2bp

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

.. math:: s \rightarrow \frac{s^2 + {\omega_0}^2}{s \cdot \mathrm{BW}}

This is the "wideband" transformation, producing a passband with
geometric (log frequency) symmetry about `wo`.

.. versionadded:: 1.1.0

Examples
--------
Use the 'zpk' (Zero-Pole-Gain) representation of a lowpass filter to
transform it to a bandpass filter with a center frequency wo and
bandwidth bw.

>>> from scipy.signal import lp2bp_zpk
>>> z   = [ 5 + 2j ,  5 - 2j ]
>>> p   = [ 7      ,  -16    ]
>>> k   = 0.8
>>> wo  = 0.62
>>> bw  = 15
>>> lp2bp_zpk(z, p, k, wo, bw)
(   array([7.49955815e+01+3.00017676e+01j, 7.49955815e+01-3.00017676e+01j,
           4.41850748e-03-1.76761126e-03j, 4.41850748e-03+1.76761126e-03j]),
    array([1.04996339e+02+0.j, -1.60167736e-03+0.j,  3.66108003e-03+0.j,
           -2.39998398e+02+0.j]), 0.8)

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