$2.$ Ha$($s$)$ in problem $1$ can be transformed into

$-1-2$m$/2$

k k k

$-1-2$

k$=1$ k k k

$($f $+$ g z $+$ h z $)$

H$($z$)=($ i $+$ j z $+$ k z $)$

$$

using the bilinear transform,

$($a$)$ Find an expression for $$c in part $1($c$)$ in terms of T and the desired digital filter

cut$-$off frequency wc $.$

$($b$)$ Using T$=2,$ give expressions for fk$,$ gk$,$ and hk in terms of ck

$($c$)$ Give expressions for ik$,$ jk$,$ and kk in terms of dk and ek