Question: Given an IIR filter defined by the difference equation
![940_8.64.png](https://secure.tutorsglobe.com/CMSImages/940_8.64.png)
(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:
![2152_xn 1.png](https://secure.tutorsglobe.com/CMSImages/2152_xn 1.png)
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.