Question: A discrete-time system has a unit impulse response h[n]. (a) Let the input to the discrete-time system be a pulse x[n] = u[n] - [n

A discrete-time system has a unit impulse response h[n].

(a) Let the input to the discrete-time system be a pulse x[n] = u[n] - [n - 4] compute the output of the system in terms of the impulse response.

(b) Let h[n] = 0.5nu[n] what would be the response of the system y[n] to x[n] = u[n] - u[n - 4]? Plot the output y[n].

(c) Use the convolution sum to verify your response y[n].

(d) Use the function conv to compute the response y[n] to x[n] = u[n] - u[n - 4]. Plot both the input and output.

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