Given the two four-point sequencesx[n] = [–1, – 2, 1, 3] and y[n] = [–2, – 1, 0, 2], find...

Given the two four-point sequences

x[n] = [–1, – 2, 1, 3] and y[n] = [–2, – 1, 0, 2], find the following:

(a) x[n]*y[n], the linear convolution;

(b)  the circular convolution;

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(c) Rxy[p], the cross-correlation of x[n] and y[n];

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(d) Ryx[p], the cross-correlation of y[n] and x[n];

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(e) Rxx[p], the autocorrelation of x[n];

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(f) Use MATLAB to confirm the results of Parts (a) through (e).