Question: The continuous-time signal x c (t) = cos (4000 t) is sampled with a sampling period T to obtain a discrete-time signal x[n] = cos

The continuous-time signal 

xc(t) = cos (4000π t)

is sampled with a sampling period T to obtain a discrete-time signal

x[n] = cos (π n/3).

(a) Determine a choice for T consistent with this information.

(b) Is your choice for T in part (a) unique? If so, explain why. If not, specify another choice of T consistent with the information given.

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