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Module « scipy.signal »

Fonction lp2hp - module scipy.signal

Signature de la fonction lp2hp

def lp2hp(b, a, wo=1.0) 

Description

help(scipy.signal.lp2hp)

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, in
transfer function ('ba') representation.

Parameters
----------
b : array_like
    Numerator polynomial coefficients.
a : array_like
    Denominator polynomial coefficients.
wo : float
    Desired cutoff, as angular frequency (e.g., rad/s).
    Defaults to no change.

Returns
-------
b : array_like
    Numerator polynomial coefficients of the transformed high-pass filter.
a : array_like
    Denominator polynomial coefficients of the transformed high-pass filter.

See Also
--------
lp2lp, lp2bp, lp2bs, bilinear
lp2hp_zpk

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.

Examples
--------
>>> from scipy import signal
>>> import matplotlib.pyplot as plt

>>> lp = signal.lti([1.0], [1.0, 1.0])
>>> hp = signal.lti(*signal.lp2hp(lp.num, lp.den))
>>> w, mag_lp, p_lp = lp.bode()
>>> w, mag_hp, p_hp = hp.bode(w)

>>> plt.plot(w, mag_lp, label='Lowpass')
>>> plt.plot(w, mag_hp, label='Highpass')
>>> plt.semilogx()
>>> plt.grid(True)
>>> plt.xlabel('Frequency [rad/s]')
>>> plt.ylabel('Amplitude [dB]')
>>> plt.legend()

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