In 1.37, we introduced the concept of correlation functions. It is often important in

Chapter 1, Problem 1.45

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In 1.37, we introduced the concept of correlation functions. It is often important in practice to compute the correlation function cf>hx(t), where h(t) is a fixed given signal, but where x(t) may be any of a wide variety of signals. In this case, what is done is to design a systemS with input x(t) and output cf>hx(t). (a) IsS linear? IsS time invariant? IsS causal? Explain your answers. (b) Do any of your answers to part (a) change if we take as the output cf>xh(t) rather than cf>hx(t)?

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