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Posted: Tue Apr 12, 2022 10:14 am
Show your work
The signal x(t) is periodic with period 3 and has Fourier coefficients given by ka COS ak = k2 +1 (km) It is used as input to a system with frequency response H(jw) = 1 1+w2 ka = Obe = What are the Fourier coefficients of the output y(t)? cos (47) Obe (k2 + 1)2 os (km) (9k2 + 1) (k2 +1) Кл COS $ (67) (25k2 + 1) (k2 +1) ) (2k + 1) (k2 + 1) Obk Obe cos (km = COS (品)。 bk = 9 (4.2k2 + 1) (k2 +1) cos (km) (472 k2 + 1) (k+1) bk = = 9
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