Question

§ Problem 3Consider a causal linear time-invariant system whose system function is H(z)=\frac{1-\frac{3}{10} z^{-1}+\frac{1}{3} z^{-2}}{\left(1-\frac{4}{5} z^{-1}+\frac{2}{3} z^{-2}\right)\left(1+\frac{1}{5} z^{-1}\right)}=\frac{\frac{1}{2}}{1-\frac{4}{5} z^{-1}+\frac{2}{3} z^{-2}}+\frac{\frac{1}{2}}{1+\frac{1}{5} z^{-1}} Draw the signal flow graphs for implementations of the

system in each of the following forms:

Fig: 1

Fig: 2

Fig: 3