Method, computer program, system, and communication device for optimizing the capacity of communication channels

Abstract

The invention relates to a method for optimizing a capacity of a communication channel in a communication system comprising at least a transmitter (), a receiver (), and the communication channel () between the transmitter and the receiver. The transmitter () uses a finite set of symbols Ω={ω, . . . , ω} having respective positions on a constellation, to transmit a message including at least one symbol on said communication channel (). The communication channel () is characterized by a conditional probability distribution ρ(y|x), where y is the symbol received at the receiver () while x is the symbol transmitted by the transmitter. More particularly, the conditional probability distribution ρ(y|x) is obtained, for each possible transmitted symbol x, by a mixture model using probability distributions represented by exponential functions. An optimized input distribution p(x) is computed, based on parameters of the mixture model, to define optimized symbols positions and probabilities to be used at the transmitter for optimizing the capacity of the channel.