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Performance Bounds of NonUniform Signaling over AWGN Channels \Lambda

Summary: Performance Bounds of Non­Uniform Signaling
over AWGN Channels \Lambda
Hongyan Kuai, Fady Alajaji and Glen Takahara
Mathematics and Engineering
Department of Mathematics and Statistics
Queen's University
Kingston, Ontario, Canada K7L 3N6
Abstract --- In this work, we present two bounds (one
lower bound and one upper bound) on the probability
of a union of a finite number of events. The bounds
-- which are expressed in terms of only the individual
event probabilities and the pairwise event probabili­
ties -- are applied to examine the symbol error (Ps)
and bit error (P b
) probabilities of an uncoded com­
munication system used in conjunction with M­ary
PSK/QAM modulations and maximum a posteriori
(MAP) decoding over AWGN channels. It is shown
that both bounds provide a good, and often excel­
lent, estimate of the error probabilities over the entire


Source: Alajaji, Fady - Department of Mathematics and Statistics, Queen's University (Kingston)
Linder, Tamás - Department of Mathematics and Statistics, Queen's University (Kingston)


Collections: Engineering