Show that each of the numbers, e j(2?/N)k ? ? ? ? ? ? ??0 ? k

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Show that each of the numbers,

e^j(2?/N)k ?? ? ? ? ? ??0 ? k ? N ? 1

corresponds to an Nth root of unity. Plot these numbers as phasors in the complex plane and illustrate, by means of this figure, the orthogonality property

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Digital Signal Processing

ISBN: ?978-0133737622

3rd Edition

Authors: Jonh G. Proakis, Dimitris G.Manolakis

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Question Posted: May 26, 2011 02:58 AM

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Show that each of the numbers, e j(2?/N)k ? ? ? ? ? ? ??0 ? k

Question:

if k if k =! N. N-1 Σ (0,

Step by Step Answer:

Since ek2k1 e satisfies the equation X 1 Hence e is an ...View the full answer

Digital Signal Processing

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