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ParametersReturns

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

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()

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()

Local connectivity graph

Hover to see nodes names; edges to Self not shown, Caped at 50 nodes.

Using a canvas is more power efficient and can get hundred of nodes ; but does not allow hyperlinks; , arrows or text (beyond on hover)

SVG is more flexible but power hungry; and does not scale well to 50 + nodes.

All aboves nodes referred to, (or are referred from) current nodes; Edges from Self to other have been omitted (or all nodes would be connected to the central node "self" which is not useful). Nodes are colored by the library they belong to, and scaled with the number of references pointing them