A periodic signal has the following Fourier series representation (a) Is x(t) band-limited? (b) Calculate the power

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A periodic signal has the following Fourier series representation

x(t) (0.5k k=-00


(a) Is x(t) band-limited?

(b) Calculate the power Px of x(t).

(c) If we approximate x(t) as

F(t) = E '0.5k jikt k=-N


by using 2N + 1 terms, find N so that x̂(t)has 90% of Px.

(d) If we use N found above, determine the sampling period that can be used to sample x̂(t) without aliasing.

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