`scipy.signal._filter_design:zpk2tf`

source: build-install/usr/lib/python3.14/site-packages/scipy/signal/_filter_design.py:1258

Signature

def zpk2tf(z, p, k)

Summary

Return polynomial transfer function representation from zeros and poles.

Parameters

z : array_like: Zeros of the transfer function.
p : array_like: Poles of the transfer function.
k : float: System gain.

Returns

b : ndarray: Numerator polynomial coefficients.
a : ndarray: Denominator polynomial coefficients.

Examples

Find the polynomial representation of a transfer function H(s) using its 'zpk' (Zero-Pole-Gain) representation. .. math:: H(z) = 5 \frac { (s - 2)(s - 6) } { (s - 1)(s - 8) }

from scipy.signal import zpk2tf
z   = [2,   6]
p   = [1,   8]
k   = 5

✓

zpk2tf(z, p, k)

✗

(array([  5., -40.,  60.]), array([ 1, -9,  8]))

Aliases

scipy.signal.zpk2tf