Section 2: Impulse Response and Step Response

Consider an LTI system where the input x[n] and output y[n] satisfy the following difference

equation (assume initial rest conditions):

y[n] 1.85 cos

s(7)y[n − 1] +0.83y[n − 2] = x[n] + x[n 1]

3. Using the "filter" Matlab function, generate and plot the response y[n] for -10 ≤ n ≤ 100

when the input is x[n] = 8[n], the unit impulse sequence.

4. Generate and plot the response y[n] for -10 ≤ n ≤ 100 when the input is x[n] = u[n], the unit

step sequence.