Let Xc(t) be a continuous-time signal whose Fourier transform has the property that
Chapter 7, Problem 7.11(choose chapter or problem)
Let Xc(t) be a continuous-time signal whose Fourier transform has the property that Xc(jw) = 0 for lwl ~ 2,0001T. A discrete-time signal xd[n] = Xc(n(0.5 X 10-3)) is obtained. For each of the following constraints on the Fourier transform Xd(ejw) of xd[n], determine the corresponding constraint on Xc(jw ): (a) Xd(ejw) is real. (b) The maximum value of Xd(ejw) over all w is 1. (c) Xd(ejw) = 0 for 3 ; ::; lw I ::; 1T. (d) Xd(ejw) = Xd(ej(w-1T)).
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