Question: A discrete-time linear time-invariant system has an impulse response h[n] = u[n]u[n - 5], where u[n] is the discrete unit step function. A signal
A discrete-time linear time-invariant system has an impulse response h[n] = u[n]u[n - 5], where u[n] is the discrete unit step function. A signal x[n] is applied at the input of the system. r[n] is zero except for the following values: x[-2] = a[2] = 1; x[1] = x[1] = -2; x[0] = 3. Compute (in Matlab) the output signal y[n]. Plot x[n], h[n], and y[n] on three subplots of a single Matlab figure. Make sure that all non-zero samples of the signals appear in the plot. Carefully label your axes.
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