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Conversion of zero-pole-gain to transfer function.
Syntax
[b,a] = zp2tf(z,p,k)
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:
p specifies the pole locations, and matrix 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 a and the numerator coefficients in matrix b, 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 usingpoly with p and the columns of Z.
See Also
sos2tf |
Conversion of second-order sections to transfer function. |
ss2tf |
Conversion of state-space to transfer function. |
tf2zp |
Conversion of transfer function to zero-pole-gain. |
zp2sos |
Conversion of zero-pole-gain to second-order sections. |
zp2ss |
Conversion of zero-pole-gain to state-space. |