A continuous-time periodic signal x(t) with fundamental period T 0 = 2 has a period x 1

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A continuous-time periodic signal x(t) with fundamental period T₀ = 2 has a period x₁(t) = u(t) − u(t − 1).

(a) Is x(t)a band-limited signal? Find the Fourier coefficients X_k of x(t).

(b) Would Ω_max = 5π be a good value for the maximum frequency of x(t)? Explain.

(c) Let T_s = 0.1sec/sample so that in a period the sampled signal is x(nT_s) = u[n] − u[n − 11]. Obtain its discrete Fourier series coefficients of the periodic signal x[n] and compare X[0], X[1] of x[n] with X₀, X₁ of x(t).

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Signals and Systems using MATLAB

ISBN: 978-0123948120

2nd edition

Authors: Luis Chaparro

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Question Posted: Dec 29, 2018 07:04 AM

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A continuous-time periodic signal x(t) with fundamental period T 0 = 2 has a period x 1

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a The period of xt is T 0 2 0 The Fourier series coeff...View the full answer

Signals and Systems using MATLAB

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