Consider a discrete-time signal x[n] with Fourier transform shown in Figure P8.32(a)

Chapter 8, Problem 8.32

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Consider a discrete-time signal x[n] with Fourier transform shown in Figure P8.32(a). The signal is amplitude modulated by a sinusoidal sequence, as indicated in Figure P8.32(b) (a) Determine and sketch Y(e.iw), the Fourier transform of y[n]. (b) A proposed demodulation system is shown in Figure P8.32(c). For what value of fJ c. w1p, and G will x[n] = x[n]? Are any restrictions on we and w1P necessary to guarantee that x[n] is recoverable from y[n]?

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