Figure P7.43(a) depicts a system for which the input and output are discrete-time
Chapter 7, Problem 7.43(choose chapter or problem)
Figure P7.43(a) depicts a system for which the input and output are discrete-time signals. The discrete-time input x[n] is converted to a continuous-time impulse train Xp(t). The continuous-time signal Xp(t) is then filtered by an LTI system to produce the output Yc(t), which is then converted to the discrete-time signal y[n]. The LTI system with input Xc(t) and output Yc(t) is causal and is characterized by the linear constant -coefficient differential equation d 2 yc(t) 4 dyc(t) 3 ~ () _ () + ~ + Yc t - Xc t . The overall system is equivalent to a causal discrete-time LTI system, as indicated in Figure P7 .43(b ). Determine the frequency response H(eiw) and the unit sample response h[n] of the equivalent LTI system.
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