Consider the discrete-time system where a = 0.9 and y(-1) = 0. (a) Compute and sk...

Consider the discrete-time system

where a = 0.9 and y(-1) = 0.

(a) Compute and sketch the output yi(n) of the system to the input signals

Where

(b) Compute and sketch the magnitude and phase response of the system and use: these results to explain the response of the system to the signals given in part (a).