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Module « scipy.signal »

Fonction czt_points - module scipy.signal

Signature de la fonction czt_points

def czt_points(m, w=None, a=(1+0j)) 

Description

help(scipy.signal.czt_points)

Return the points at which the chirp z-transform is computed.

Parameters
----------
m : int
    The number of points desired.
w : complex, optional
    The ratio between points in each step.
    Defaults to equally spaced points around the entire unit circle.
a : complex, optional
    The starting point in the complex plane.  Default is 1+0j.

Returns
-------
out : ndarray
    The points in the Z plane at which `CZT` samples the z-transform,
    when called with arguments `m`, `w`, and `a`, as complex numbers.

See Also
--------
CZT : Class that creates a callable chirp z-transform function.
czt : Convenience function for quickly calculating CZT.

Examples
--------
Plot the points of a 16-point FFT:

>>> import numpy as np
>>> from scipy.signal import czt_points
>>> points = czt_points(16)
>>> import matplotlib.pyplot as plt
>>> plt.plot(points.real, points.imag, 'o')
>>> plt.gca().add_patch(plt.Circle((0,0), radius=1, fill=False, alpha=.3))
>>> plt.axis('equal')
>>> plt.show()

and a 91-point logarithmic spiral that crosses the unit circle:

>>> m, w, a = 91, 0.995*np.exp(-1j*np.pi*.05), 0.8*np.exp(1j*np.pi/6)
>>> points = czt_points(m, w, a)
>>> plt.plot(points.real, points.imag, 'o')
>>> plt.gca().add_patch(plt.Circle((0,0), radius=1, fill=False, alpha=.3))
>>> plt.axis('equal')
>>> plt.show()

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