Question: Question 3: Sampling: (1 mark) Solve all parts from book Q1.9 (1.10). Replace xo(t) = 1 + Cos(12) 1.10 Consider the following periodic signal. x.(0)

Question 3: Sampling: (1 mark) Solve all parts from book Q1.9 (1.10). Replace xo(t) = 1 + Cos(12) 1.10 Consider the following periodic signal. x.(0) = 1 + cos(10TI) (a) Compute the magnitude spectrum of x.(). (b) Suppose x,(!) is sampled with a sampling frequency of , - 8 Hz. Sketch the magnitude spectra of x.(0) and the sampled signal, 2.0). (c) Does aliasing occur when x (t) is sampled at the rate f. = 8 Hz? What is the folding frequency in this case? (d) Find a range of values for the sampling interval 7 that ensures that aliasing does not occur. (e) Assuming /,= 8 Hz, find an alternative lower-frequency signal. x(1), that has the same set of samples as x.(0)

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