Implement the transfer function below using a parallel realization with the minimum number of multipliers: [H(z)=frac{z^{3}+3 z^{2}+frac{11}{4}+frac{5}{4}}{left(z^{2}+frac{1}{2} z+frac{1}{2} ight)left(z+frac{1}{2} ight)}]

Implement the transfer function below using a parallel realization with the minimum number of multipliers:

\[H(z)=\frac{z^{3}+3 z^{2}+\frac{11}{4}+\frac{5}{4}}{\left(z^{2}+\frac{1}{2} z+\frac{1}{2}\right)\left(z+\frac{1}{2}\right)}\]