Implementation of LTI systems consider the recursive discrete-time system described by the difference equation 

y(n) = a₁y(n - 1) – a₂y(n - 2) + b₀x(n)

 where a₁ = -0.8, a₂ = 0.64 and b₀ = 0.866.

(a) Write a program to compute and plot the impulse response h(n) of the system for 0 ≤ n ≤ 49.

(b) Write a program to compute and plot the zero-state step response s(n) of the system for 0 ≤ n ≤ 100.

(c) Define an FIR system with impulse response h_FIR (n) given by, where h(n) is the impulse response computed in part (a). Write a program to compute and plot its steps response. 

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

Transcribed Image Text:

h(n). 0