3.17 Let f(t) be a T-periodic signal and let g(t) be the signal given by 1 t g(t) f(u) du. a Jt-a Here we assume that 0 < a
3.17 Let f(t) be a T-periodic signal and let g(t) be the signal given by 1 t g(t) f(u) du. a Jt-a Here we assume that 0 < a
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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2225437-fa64-4f56-99af-2e3142b592d7%2Fe9d75068-b71a-48d4-b275-97d526043872%2Fy444fx_processed.png&w=3840&q=75)
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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