(a) For the general case of transformations of discrete signals, given x[n], xt[n] can be...

(a) For the general case of transformations of discrete signals, given x[n], xt[n] can be expressed as

xt[n] = Ax[an + n0] + B,

where a is rational and n0 is an integer. Solve this expression for x[n].

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(b) For the signals shown in Figure, express x2[n] as a function of x1[n].

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(c) Suppose that for the signal of Figure,

x1[n] = 0.5x3[–n + 1] + 2.

Sketch x3[n].

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(d) Verify the results of Part (b) by checking at least three points in time.

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(e) Verify the results of Part (c) by checking at least three points in time.