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Summary: IEEE TRANSACTIONS ON COMMUNICATIONS, VOL. 53, NO. 1, JANUARY 2005 39
Error Analysis for Nonuniform Signaling Over Rayleigh Fading Channels
Libo Zhong, Fady Alajaji, Senior Member, IEEE, and Glen Takahara, Member, IEEE
Abstract--We investigate the error performance of a commu-
nication system where a nonuniform memoryless binary source
is transmitted via Gray-mapped -ary phase-shift keying or
quadrature amplitude modulation over memoryless Rayleigh
fading channels, and demodulated via optimal maximum a pos-
teriori detection. Using recently derived upper and lower bounds
on the probability of a general union of events, which are tight
and can be efficiently computed, the system symbol-error ( )
and bit-error ( ) rates are evaluated for a wide range of channel
conditions. Since for nonuniform signaling, Gray mapping is not
necessarily optimal for minimizing or (as was recently
shown by Takahara et al.), we also evaluate the system perfor-
mance under the map obtained by Takahara et al. and compare it
with a Gray-mapped system.
Index Terms--Bit and symbol error rates, Gray mappings,
lower and upper bounds, maximum a posteriori (MAP) decoding,
nonuniform sources, phase-shift keying (PSK) and quadrature
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