Introduction to Simulink with Engineering Applications

Chapter 17: The Additional Discrete Library

Overview

This chapter is an introduction to the Additional Discrete Library. This is the sixteenth library in the Simulink group of libraries and contains the blocks shown below. We will describe the function of each block included in this library and we will perform simulation examples to illustrate their application.

17.1 The Transfer Fcn Direct Form II Block

The Transfer Fcn Direct Form II block implements a Direct Form II realization of the transfer function specified by the Numerator coefficients and the Denominator coefficients without the leading [1] coefficient in the Denominator.

Example 17.1

The model of Figure 17.1 implements the discrete-time function

(17.1)


Figure 17.1: Direct Form-II of a second-order digital filter

In Figure 17.1, the Sample time for the Sine Wave block is specified as 0.1. The num(z) for the Transfer Fcn Direct Form II block is specified as [0.5276 -1.5828 1.5828], and the den(z) is specified as [-1.7600 1.1829]. The leading coefficient 1 in the denominator is excluded. The input and output waveforms are shown in Figure 17.2.


Figure 17.2: Input and output waveforms for the model of Figure 17.1

[1] By lead we mean that the leading coefficient 1 in the denominator which has the form 1 + z -1 + z -2.

17.2 The Transfer Fcn Direct Form II Time Varying Block

The Transfer Fcn Direct Form II Time Varying block implements a Direct Form II realization of a specified transfer function. Essentially, this block performs the same function...

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