Title
Optimal signaling and detector design for M-ary communication systems in the presence of multiple additive noise channels
Abstract
An M-ary communication system is considered in which the transmitter and the receiver are connected via multiple additive (possibly non-Gaussian) noise channels, any one of which can be utilized for the transmission of a given symbol. Contrary to deterministic signaling (i.e., employing a fixed constellation), a stochastic signaling approach is adopted by treating the signal values transmitted for each information symbol over each channel as random variables. In particular, the joint optimization of the channel switching (i.e., time sharing among different channels) strategy, stochastic signals, and decision rules at the receiver is performed in order to minimize the average probability of error under an average transmit power constraint. It is proved that the solution to this problem involves either one of the following: (i) deterministic signaling over a single channel, (ii) randomizing (time sharing) between two different signal constellations over a single channel, or (iii) switching (time sharing) between two channels with deterministic signaling over each channel. For all cases, the optimal strategies are shown to employ corresponding maximum a posteriori probability (MAP) decision rules at the receiver. In addition, sufficient conditions are derived in order to specify whether the proposed strategy can or cannot improve the error performance over the conventional approach, in which a single channel is employed with deterministic signaling at the average power limit. Finally, numerical examples are presented to illustrate the theoretical results.
Year
DOI
Venue
2014
10.1016/j.dsp.2013.10.012
Digital Signal Processing
Keywords
Field
DocType
noise channel,different channel,decision rule,different signal constellation,average probability,channel switching,multiple additive noise channel,conventional approach,average power limit,single channel,detector design,m-ary communication system,time sharing,error probability
Decision rule,Transmitter,Random variable,Mathematical optimization,Transmitter power output,Communication channel,Algorithm,Communications system,Maximum a posteriori estimation,Statistics,Detector,Mathematics
Journal
Volume
ISSN
Citations 
26,
1051-2004
7
PageRank 
References 
Authors
0.46
26
4
Name
Order
Citations
PageRank
Berkan Dulek110713.74
Mehmet Emin Tutay2293.54
Sinan Gezici368266.18
Pramod K. Varshney46689594.61