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arXiv · 1801.04422

Asymptotic Distribution of Multilevel Channel Polarization for a Certain Class of Erasure Channels

Yuta Sakai·Ken-ichi Iwata·Hiroshi Fujisaki
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Abstract

This study examines multilevel channel polarization for a certain class of erasure channels that the input alphabet size is an arbitrary composite number. We derive limiting proportions of partially noiseless channels for such a class. The results of this study are proved by an argument of convergent sequences, inspired by Alsan and Telatar's simple proof of polarization, and without martingale convergence theorems for polarization process.

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Yuta Sakai, Ken-ichi Iwata, Hiroshi Fujisaki. 2018-01-13. Asymptotic Distribution of Multilevel Channel Polarization for a Certain Class of Erasure Channels. https://doi.org/10.1109/isit.2018.8437921

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