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arXiv · 1001.2662

Channel Polarization on q-ary Discrete Memoryless Channels by Arbitrary Kernels

Ryuhei Mori·Toshiyuki Tanaka
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Abstract

A method of channel polarization, proposed by Arikan, allows us to construct efficient capacity-achieving channel codes. In the original work, binary input discrete memoryless channels are considered. A special case of $q$-ary channel polarization is considered by Sasoglu, Telatar, and Arikan. In this paper, we consider more general channel polarization on $q$-ary channels. We further show explicit constructions using Reed-Solomon codes, on which asymptotically fast channel polarization is induced.

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Ryuhei Mori, Toshiyuki Tanaka. 2010-07-21. Channel Polarization on q-ary Discrete Memoryless Channels by Arbitrary Kernels. https://arxiv.org/abs/1001.2662

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