(a) Suppose that the discrete-time LTI system of Figure has the impulse response h[n] give...

(a) Suppose that the discrete-time LTI system of Figure has the impulse response h[n] given in Figure (a). The system input is the unit step function x[n] = u[n]. Find the output y[n].

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(b) Repeat Part (a) if the system input is x[n] in Figure (b).

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(c) Verify the results in Part (b) using MATLAB.

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(d) Repeat Part (a) if the system input is x[n] in Figure (c).

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(e) Verify the results in Part (d) using MATLAB.

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(f) Repeat Part (a) if h[n] is the same function as x[n] in Figure (b); that is, h[n] = x[n].

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(g) Verify the results in Part (f) using MATLAB.