Question: Given an IIR filter defined by the difference equation
(a) Determine the system function H(z).
(b) How many poles does the system have? Compute and plot the pole locations.
(c) When the input to the system is the two-point pulse signal:
Determine the output signal y[n], so that you can make a plot of its general form. Assume that the output signal is zero for n < 0.="">
(d) The output signal is periodic for n > 0. Determine the period.