8.17 Let f(t) be a T-periodic signal and let g(t) be the signal given by 1 8 (t) = ² ft = ² ft f(u) du. a Jt-a Here we assume that 0 < a
8.17 Let f(t) be a T-periodic signal and let g(t) be the signal given by 1 8 (t) = ² ft = ² ft f(u) du. a Jt-a Here we assume that 0 < a
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:a Jt-a
3.17 Let f(t) be a T-periodic signal and let g(t) be the signal given by
1
g(t) =
f (u) du.
Here we assume that 0 < a< T.
(a) Show that g(t) is T-periodic.
(b) Determine the Fourier coefficients of g(t).
(c) What can you tell about g(t) for the case that a = T?
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