20.6.5.5. Discrete Zero-Pole

The Discrete Pole/Zero block implements a discrete system with the specified poles, zeros, and gain in terms of the delay operator z.

The system is defined by

\(H(s)=K \frac{\mathbf{Z(z)}}{\mathbf{P(z)}} = K \frac{(z-\mathbf{Z_1})(z-\mathbf{Z_2})...(z-\mathbf{Z_m})}{(z-\mathbf{P_1})(z-\mathbf{P_2})...(z-\mathbf{P_n})}\)

where,

\(K\) is the gain

\(\mathbf{Z}\) is the zeros vector

\(\mathbf{P}\) is the poles vector.

Dialog box

Figure 20.80 Discrete Zero-Pole dialog box

Table 20.42 Parameters

Parameter(s)	Description
Zeros	Enter the matrix of zeros. A matrix with multiple rows can be specified to generate multiple output signals.
Poles	Enter the vector of poles.
Gain	Enter the gain.
Sample time	Enter the time interval between samples.