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Consider the signal x(t) = 3 cos 2π(30)t + 4 . (a) Plot the spectrum of...

Consider the signal x(t) = 3 cos 2π(30)t + 4 .

(a) Plot the spectrum of the signal x(t). Show the spectrum as a function of f in Hz. ?π? For the remainder of this problem, assume that the signal x(t) is sampled to produce the discrete-time signal x[n] at a rate of fs = 50 Hz.

b Sketch the spectrum for the sampled signal x[n]. The spectrum should be a function of the normalized frequency variable ωˆ over the interval −2π ≤ ωˆ ≤ 2π.

(c) Write an equation for the sampled signal x[n].

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