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In this work is proposed a definition of G-encoding capacity for G-symmetric channels, where G is a non-Abelian semidirect product of two cyclic p-groups. Then it is shown that the 8PSK constellation transmitted over the AWGN channel has the structure of a G-symmetric channel, where G is the dihedral group of the motions of the square. Also, for the same G, it is conjectured that the G-encoding capacity...
In this work it is proposed a method to compute the capacity of channels with finite input alphabet. This method is based on the constancy of the Kullback-Leibler distances between the different conditional probability densities of the the output alphabet and the full densities of the output alphabet. After that, it is studied a general symmetric channels in terms of abstract groups and it is shown...
In this work we study channels with finite input alphabet and continuous output alphabet and we give step-by-step proofs on two results: 1.-The capacity of the channel can be computed by finding a random variable over the inputs in such a way that the Kullback-Leibler distance D(pY|xi (y)∥kpY (y)) is constant for any xi of the input alphabet. 2.-The capacity of the symmetric channel can be computed...
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