5.) Let X(t) =5 + 2cos(it) + 3cos(2tt) + cos(3htt) represent a continuous time signal where t is in milliseconds. a) Ill

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5 Let X T 5 2cos It 3cos 2tt Cos 3htt Represent A Continuous Time Signal Where T Is In Milliseconds A Ill 1 (47.49 KiB) Viewed 52 times

5.) Let X(t) =5 + 2cos(it) + 3cos(2tt) + cos(3htt) represent a continuous time signal where t is in milliseconds. a) Illustrate the frequency spectrum î(f) as a function of frequency fin kilohertz, showing the correct assignment of amplitudes to each frequency component. b) Suppose that x is sampled at a rate of fs = 1.5 kHz resulting in a sampled signal xs(t) = EN=-. X(t)/(t - nt). Illustrate the frequency spectrum of xs as a function of f, showing the appropriate Nyquist interval. Which frequencies (if any) are aliased in this sampling process? Justify your answer. c) Determine the continuous time signal that will be reconstructed from the sampling described in b).