Title :
On the random coding exponent of nonlinear gaussian channels
Author :
Xenoulis, Kostis ; Kalouptsidis, Nicholas
Author_Institution :
Dept. of Inf. & Telecommun., Nat. & Kapodistrian Univ. of Athens, Athens, Greece
Abstract :
A random coding theorem for nonlinear additive Gaussian channels is presented. Modeling the channel´s nonlinear behavior as a causal, stationary Volterra system and under maximum likelihood decoding, an upper bound on the average error probability is obtained. The proposed bound is deduced by deploying exponential martingale inequalities. Cubic nonlinearities are used as example to illustrate the validity of the random coding exponent and the usefulness of the proposed technique in the treatment of nonlinear channels.
Keywords :
Gaussian channels; Volterra equations; error statistics; maximum likelihood decoding; average error probability; cubic nonlinearities; maximum likelihood decoding; nonlinear additive Gaussian channels; random coding exponent; stationary Volterra system; Additive noise; Codes; Communication channels; Error probability; Gaussian channels; Gaussian noise; Informatics; Maximum likelihood decoding; Upper bound; Working environment noise;
Conference_Titel :
Networking and Information Theory, 2009. ITW 2009. IEEE Information Theory Workshop on
Conference_Location :
Volos
Print_ISBN :
978-1-4244-4535-6
Electronic_ISBN :
978-1-4244-4536-3
DOI :
10.1109/ITWNIT.2009.5158536