For M-ary PSK, the transmitted signal is of the form s i (t) = A cos(2t +

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For M-ary PSK, the transmitted signal is of the form 

si (t) = A cos(2πt + iπ / 2), i = 0, 1, 2, 3, for 0 ≤ t ≤ 1

si (t) = A cos[4πt + (i - 4)π / 2], i = 4, 5, 6, 7, for 0 ≤ t ≤ 1

(a) Find a set of basis functions for this signaling scheme. What is the dimension of the signal space? Express si(t) in terms of these basis functions and the signal energy, E = A2 / 2.

(b) Sketch a block diagram of the optimum (minimum PE) receiver.

(c) Write down an expression for the probability of error. Do not attempt to integrate it.

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Principles of Communications Systems, Modulation and Noise

ISBN: 978-8126556793

7th edition

Authors: Rodger E. Ziemer, William H. Tranter

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