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Abstract: Low-density parity-check LDPC coding for a multitude of equal-capacitychannels is studied. First, based on numerous observations, a conjecture isstated that when the belief propagation decoder converges on a set ofequal-capacity channels, it would also converge on any convex combination ofthose channels. Then, it is proved that when the stability condition issatisfied for a number of channels, it is also satisfied for any channel intheir convex hull. For the purpose of code design, a method is proposed whichcan decompose every symmetric channel with capacity C into a set ofidentical-capacity basis channels. We expect codes that work on the basischannels to be suitable for any channel with capacity C. Such codes are foundand in comparison with existing LDPC codes that are designed for specificchannels, our codes obtain considerable coding gains when used across amultitude of channels.



Autor: Ali Sanaei, Mahdi Ramezani, Masoud Ardakani

Fuente: https://arxiv.org/







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