Please show all required work to get the solution What is th

Please show all required work to get the solution.

What is the unit impulse response h[n] for a system having H[z] as given in the problem above? What type filter (LP, HP, BP or BE) best describes the digital filter whose pole-zero plot is shown below? Assume the circle has unity radius.

Solution

tf = 1/(s-a)² + b²

^{it is band pass filter}