Problem 4 (15 points) Consider the function x(t) = rect (2t4n). NEZ For each of the functions below, (1) sketch the signal, (2) find its fundamental period T and frequency wo, and (3) find its Fourier series coefficients. (b) y1(t) = 2x(t-1) (c) y2(t) = x(½) (d) y(t) = cos(4πt) x(t) (a) x(t) Hint: This problem is related to Example 3.5 in Oppenheim and Willsky.

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Problem 4 (15 points)
Consider the function
x(t) = rect (2t4n).
NEZ
For each of the functions below, (1) sketch the signal, (2) find its fundamental period T and frequency wo,
and (3) find its Fourier series coefficients.
(b) y1(t) = 2x(t-1) (c) y2(t) = x(½) (d) y(t) = cos(4πt) x(t)
(a) x(t)
Hint: This problem is related to Example 3.5 in Oppenheim and Willsky.
Transcribed Image Text:Problem 4 (15 points) Consider the function x(t) = rect (2t4n). NEZ For each of the functions below, (1) sketch the signal, (2) find its fundamental period T and frequency wo, and (3) find its Fourier series coefficients. (b) y1(t) = 2x(t-1) (c) y2(t) = x(½) (d) y(t) = cos(4πt) x(t) (a) x(t) Hint: This problem is related to Example 3.5 in Oppenheim and Willsky.
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