A certain filter used for clutter rejection has an impulse response h(n) = 8(n) 38(n-1)+ 38(n-2)-8(n-3).

(a) Show an implementation of this filter using delay lines and adders.

(b) What is the transfer function?

(c) Plot the frequency response of this filter.

(d) Calculate the output when the input is the unit step sequence.