Suppose that a system H(z) is the cascade of five first-difference filers
a) Determine the system function H(z) for the overall system.
b) Plot the poles and zeros of H(z) in the z-plane.
c) From H(z), obtain an expression for the frequency response H(e^jw) of the overall cascade system.
d) Use multiplication of z-transform polynomials to determine the impulse response h[n] of the overall cascade system.