Signals and Systems - Electrical Engineering

Problems 707

11.25. Realization of IIR filters
Given the realization in Figure 11.35:

FIGURE 11.35
Problem – 11.25: IIR realization.

+ + + +

z−^1

z−^1

z−^1

x[n]

v[n] g[n] w[n]

y[n]

2

3

0.3

−0.8 0.4

4.5

1.3 1.8

(a) Obtain the difference equations relatingg[n]tox[n]andg[n]toy[n].

(b) Obtain the transfer functionH(z)=Y(z)/X(z)for this filter.