Figure shows three periodic sequences x 1 [n] through x 3 [n]. These sequences can be expressed
Question:
Figure shows three periodic sequences x1[n] through x3[n]. These sequences can be expressed in a Fourier series as
(a) For which sequences can the time origin be chosen such that all the X[k] are real?
(b) For which sequences can the time origin be chosen such that all the X[k] (except for k an integer multiple of N) are imaginary?
(c) For which sequences does X[k] = 0 for k = ? 2, ? 4, ? 6?
Transcribed Image Text:
N-1 X[k]e{2m/N}kn_ š[n] = k=) Part C |1...11|....IL.. IlL.. 1.... II.. Ш x[n} Ш TI!I Ш
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a b c The DFS coefficients will be ...View the full answer
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Related Book For
Discrete Time Signal Processing
ISBN: 978-0137549207
2nd Edition
Authors: Alan V. Oppenheim, Rolan W. Schafer
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