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.

📚 Bibliography

zpk2tf scipy implementation (MIT)

💡 Example

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

🔗 See also

tf2zpk.

🕔 History

Version	📄 Description
1.0.0	initial version