Signal Processing Toolbox Help Desk

zp2tf

Purpose

Zero-pole-gain to transfer function conversion.

Syntax

Description

zp2tf forms transfer function polynomials from the zeros, poles, and gains of a system in factored form.

[num,den] = zp2tf(z,p,k) finds a rational transfer function:

given a system in factored transfer function form:

Column vector p specifies the pole locations, and array Z the zero locations, with as many columns as there are outputs. The gains for each numerator transfer function are in vector k. The zeros and poles must be real or come in complex conjugate pairs. The polynomial coefficients are returned in vectors: the denominator coefficients in row vector den and the numerator coefficients in matrix num, with as many rows as there are columns of z.

Inf values can be used as place holders in Z if some columns have fewer zeros than others.

Algorithm

The system is converted to transfer function form using poly with p and the columns of Z.

See Also

ss2tf

State-space to transfer function conversion.

ss2zp

State-space to zero-pole-gain conversion.

tf2ss

Transfer function to state-space conversion.

tf2zp

Transfer function to zero-pole-gain conversion.

zp2ss

Zero-pole-gain to state-space conversion.



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