Find the direct form II structure of, $ H(S)=\frac{5 S^3-4 S^2+11 S-2}{\left(S-\frac{1}{4}\right)\left(S^2-S+\frac{1}{2}\right)} $

Welcome back.

and 4 others joined a min ago.

346views

Find the direct form II structure of,

$H(S)=\frac{5 S^3-4 S^2+11 S-2}{\left(S-\frac{1}{4}\right)\left(S^2-S+\frac{1}{2}\right)}$

written 2.3 years ago by

prajapatijaimin • 3.3k

• modified 2.3 years ago

discrete time signal processing

ADD COMMENT EDIT

1 Answer

1views

written 2.3 years ago by

prajapatijaimin • 3.3k

Solution:

$H(S)=\frac{5 S^3-4 S^2+11 S-2}{\left(S-\frac{1}{4}\right)\left(S^2-S+\frac{1}{2}\right)}\\$

$=\frac{5 S^3-4 S^2+11 S-2}{S^3-\frac{S^2}{4}-S^2+\frac{S}{4}+\frac{S}{2}-\frac{1}{8}}\\$

$H(S)=\frac{5 S^3-4 S^2+11 S-2}{S^3-\frac{5 S^2}{4}+\frac{3 S}{4}-\frac{1}{8}}\\$

$=\frac{5-\frac{4}{S}+\frac{11}{S^2}-\frac{2}{S^3}}{1-\frac{5}{4 S}+\frac{3}{4 S^2}-\frac{1}{8 S^3}}\\$

enter image description here

and 4 others joined a min ago.

ADD COMMENT EDIT

Community

Content

Company