| CPC H04L 27/3405 (2013.01) [H04L 1/0001 (2013.01); H04L 25/03171 (2013.01)] | 15 Claims |

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1. A method for optimizing a capacity of a communication channel in a communication system comprising at least a transmitter, a receiver, and said communication channel between the transmitter and the receiver,
the transmitter using a finite set of symbols Ω={ω1, . . . , ωN} having respective positions on a constellation, to transmit a message including at least one symbol on said communication channel, wherein N is a positive integer,
the communication channel being characterized by a conditional probability distribution pY|X(y|x), where y is the symbol received at the receiver while x is the symbol transmitted by the transmitter,
wherein said conditional probability distribution pY|X(y|x) is obtained, for each possible transmitted symbol x, by a mixture model using probability distributions represented by exponential functions, and an optimized input distribution px(x) is computed, based on parameters of said mixture model, to define optimized symbols positions and probabilities to be used at the transmitter for optimizing the capacity of the channel, and
wherein said mixture model follows the conditional probability distribution pY|X(y|x) which is decomposable into a basis of probability distributions exponential functions g(y|x;θ), wherein θ is a parameter set.
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