Shown in Figure P7 .31 is a system that processes continuous-time signals using a

Chapter 7, Problem 7.31

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Shown in Figure P7 .31 is a system that processes continuous-time signals using a digital filter h[n] that is linear and causal with difference equation 1 y[n] = 2 y[n - 1] + x[n]. For input signals that are band limited such that Xc(jw) = 0 for lw I > niT, the system in the figure is equivalent to a continuous-time LTI system. Determine the frequency response Hc(jw) of the equivalent overall system with input xc(t) and output Yc(t).

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