Implementation of LTI systems Consider the recursive discrete-time system de-scribed by...

Implementation of LTI systems Consider the recursive discrete-time system de-scribed by the difference equation

where

(a) Write a program to compute and plot the impulse response h(n) of the system for

(b) Write a program to compute and plot the zero-state step response s(n) of the system for

(c) Define an FIR system with impulse response given by

where h(n) is the impulse response computed in part (a). Write a program to compute and plot its step response.

(d) Compare the results obtained in parts (b) and (c) and explain their similarities and differences.