Discrete Zero-Pole (Simulink Reference)

Implement a discrete transfer function specified in terms of poles and zeros

Library

Discrete

Description

The Discrete Zero-Pole block implements a discrete system with the specified zeros, poles, and gain in terms of the delay operator z. A transfer function can be expressed in factored or zero-pole-gain form, which, for a single-input, single-output system in MATLAB, is

where Z represents the zeros vector, P the poles vector, and K the gain. The number of poles must be greater than or equal to the number of zeros
(n m). If the poles and zeros are complex, they must be complex conjugate pairs.

The block icon displays the transfer function depending on how the parameters are specified. See Zero-Pole for more information.

Data Type Support

A Discrete Zero-Pole block accepts and outputs real signals of type double.

Parameters and Dialog Box

Zeros: The matrix of zeros. The default is [1].
Poles: The vector of poles. The default is [0 0.5].
Gain: The gain. The default is 1.
Sample time: The time interval between samples. See Specifying Sample Time" in the online documentation for more information.

Characteristics

Direct Feedthrough
Yes, if the number of zeros and poles are equal

Sample Time
Discrete

Scalar Expansion
No

States
Length of Poles vector

Dimensionalized
No

Zero Crossing
No

Direct Feedthrough	Yes, if the number of zeros and poles are equal
Sample Time	Discrete
Scalar Expansion	No
States	Length of Poles vector
Dimensionalized	No
Zero Crossing	No

Discrete Transfer Fcn Display