scipy.signal.

zpk2tf

scipy.signal.zpk2tf(z, p, k)

Return polynomial transfer function representation from zeros and poles

Parameters:

zarray_like

Zeros of the transfer function.

parray_like

Poles of the transfer function.

kfloat

System gain.

Returns:

bndarray

Numerator polynomial coefficients.

andarray

Denominator polynomial coefficients.

Examples

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Find the polynomial representation of a transfer function H(s) using its ‘zpk’ (Zero-Pole-Gain) representation.

\[H(z) = 5 \frac { (s - 2)(s - 6) } { (s - 1)(s - 8) }\]

>>> 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.]))

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