TY - JOUR
T1 - Optimal signaling and detector design for M-ary communication systems in the presence of multiple additive noise channels
AU - Dulek, Berkan
AU - Tutay, Mehmet Emin
AU - Gezici, Sinan
AU - Varshney, Pramod K.
N1 - Funding Information:
This research was supported in part by the National Young Researchers Career Development Programme (project No. 110E245 ) of the Scientific and Technological Research Council of Turkey (TUBITAK). Part of this work was presented at IEEE International Symposium on Information Theory (ISIT), Istanbul, Turkey, July 7–12, 2013.
PY - 2014/3
Y1 - 2014/3
N2 - 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.
AB - 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.
KW - Channel switching
KW - Detection
KW - Error probability
KW - M-ary communications
KW - Non-Gaussian
KW - Stochastic signaling
UR - http://www.scopus.com/inward/record.url?scp=84893968864&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84893968864&partnerID=8YFLogxK
U2 - 10.1016/j.dsp.2013.10.012
DO - 10.1016/j.dsp.2013.10.012
M3 - Article
AN - SCOPUS:84893968864
SN - 1051-2004
VL - 26
SP - 153
EP - 168
JO - Digital Signal Processing: A Review Journal
JF - Digital Signal Processing: A Review Journal
IS - 1
ER -