zp2tf

Zero-pole to transfer function conversion.

Syntax

• [NUM, DEN] = zp2tf(Z, P, K)

Input argument

• Z - Locations of zeros, organized in columns for each system output.
• P - Locations of poles, recorded as a column vector.
• K - Gains.

Output argument

• NUM - Coefficients in the numerator, organized by rows corresponding to each system output.
• DEN - Coefficients in the denominator, arranged as a row vector.

Description

[NUM, DEN] = zp2tf(Z, P, K) returns polynomial transfer function representation from zeros and poles.

Example

p = [0.5;0.45+0.5i;0.45-0.5i];
z = [-1;i;-i];
k = 1;
[n, d] = zp2tf(z, p, k)

Bibliography

zpk2tf scipy implementation (MIT)

See also

tf2zpk.

History

Author

Allan CORNET