Question: The continuous-time signal x c (t) = sin (20 t) + cos (40 t) is sampled with a sampling period T to obtain the discrete-time

The continuous-time signal 

xc(t) = sin (20π t) + cos (40π t)

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

x[n] = sin (π n/5) + cos (2π n/5).

(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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