1.10 Consider the following periodic signal. x(t) + cos(10) (a) Compute the magnitude spectrum of x,(f)....

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1.10 Consider the following periodic signal. x(t) + cos(10) (a) Compute the magnitude spectrum of x,(f). (b) Suppose x() is sampled with a sampling frequency of f, 8 Hz. Sketch the magnitude spectra of x(t) and the sampled signal, (t). (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(2), that has the same set of samples as x(). 1.10 Consider the following periodic signal. x(t) + cos(10) (a) Compute the magnitude spectrum of x,(f). (b) Suppose x() is sampled with a sampling frequency of f, 8 Hz. Sketch the magnitude spectra of x(t) and the sampled signal, (t). (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(2), that has the same set of samples as x().