Using the above diagram for the z-plane, answer the following:
a) What kind of filter is this? (IIR or FIR)
b) Is the filter non-causal or causal?
c) What is the region of convergence?
d) What is the z-transform of this filter?
e) When the input signal is x[n] = 2*(-1)^n, the corresponding output is 5.
(i) What is the output when the input is 5*(-1)^n + 10?
(ii) What is the impulse response of this filter?