Frequency-domain sampling the signal x(n) = a|n|, -1 < a < 1 has a Fourier transform X()
Question:
(a) Plot X(ω) for 0 ≤ ω ≤ 2π, a = 0.8. Reconstruct and plot X(ω) from its samples X(2πk/N), 0 ≤ k ≤ N – 1 for:
(b) N = 20
(c) N = 100
(d) Compare the spectra obtained in parts (b) and (c) with the original spectrum X(ω) and explain the differences.
(e) Illustrate the time-domain aliasing when N = 20.
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Related Book For
Digital Signal Processing
ISBN: ?978-0133737622
3rd Edition
Authors: Jonh G. Proakis, Dimitris G.Manolakis
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