The system function of a digital filter is H$($z$)=$sum$\_($k$=1)^($P$)($A$\_($k$))/(1-$alpha$\_($k$)$z$^(-1))$ i$)$ If this filter was designed using impulse invariance with T$\_($s$)=2,$ find the system function, H$\_($a$)($s$)$ of an analog filter that could have been the analog filter prototype. Is your answer unique? ii$)$ Repeat part $($a$)$ assuming that the bilinear transformation was used with T$\_($s$)=2$

Here, how do we convert to s domain from z domain