If are the Fourier coefficients of a real signal, x(t), fill in all the steps to show
Question:
If
are the Fourier coefficients of a real signal, x(t), fill in all the steps to show that:
(a)
(b) Xn is a real, even function of n for x(t) even.
(c) Xn is imaginary and an odd function of n for x(t) odd.
(d) x(t) = -x(t + T0/2) (half wave odd symmetry) implies that Xn = 0, n even.
Transcribed Image Text:
х, %3D |X, |еxp[j/х,1 ||X„| = |X_„| and /X, = -/X_ -п
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Parts a through c were discussed in the text For d break the integral for X n up into a part fo...View the full answer
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Related Book For
Principles of Communications Systems, Modulation and Noise
ISBN: 978-8126556793
7th edition
Authors: Rodger E. Ziemer, William H. Tranter
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