PeZ (pezdemo) is a MATLAB tool for pole/zero manipulation. Poles and zeros can be placed anywhere on a map of the \(z\)-plane. The corresponding time domain (\(n\)) and frequency domain (\(\hat\omega\)) plots will be displayed. When a zero pair (or pole pair) is dragged, the impulse response and frequency response plots will be updated in real time.

The connection between the Z-transform domain of poles and zeros and the time domain, and also the frequency domain is illustrated with several movies where individual zeros or zero pairs are moved continuously.

A demo that illustrates the connection between the complex \(z\)-plane and the frequency response of a system. The frequency response is obtained by evaluating \(H(z)\) on the unit circle in the complex \(z\)-plane.