Signal Processing Toolbox    
zp2tf

Convert zero-pole-gain filter parameters to transfer function form.

Syntax

Description

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

[b,a] = 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 matrix z specifies 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 denominator coefficients are returned in row vector a and the polynomial numerator coefficients are returned in matrix b, which has 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
sos2tf
Convert digital filter second-order section parameters to transfer function form.
ss2tf
Convert state-space filter parameters to transfer function form.
tf2zp
Convert transfer function filter parameters to zero-pole-gain form.
zp2sos
Convert digital filter zero-pole-gain parameters to second-order sections form.
zp2ss
Convert zero-pole-gain filter parameters to state-space form.


 zp2ss zplane