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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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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?
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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