Properties of the Polarization Transformations for the Likelihood Ratios of Symmetric B-DMCs

Mine Alsan

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arXiv · 1303.3194

Properties of the Polarization Transformations for the Likelihood Ratios of Symmetric B-DMCs

Mine Alsan

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Abstract

In this paper we investigate, starting with a symmetric B-DMC, the evolution of various probabilities of the likelihood ratios of the synthetic channels created by the recursive application of the basic polarization transformations. The analysis provides a new perspective into the theory of channel polarization initiated by Arıkan and helps us to address a problem related to approximating the computations of the likelihood ratios of the synthetic channels.

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Mine Alsan. 2013-03-13. Properties of the Polarization Transformations for the Likelihood Ratios of Symmetric B-DMCs. https://arxiv.org/abs/1303.3194

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