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Channel Upgradation for Non-Binary Input Alphabets and MACs

2013/08/27 by Uzi Pereg, Pereg, Uzi, Ido Tal +1
Biochemistry, Genetics and Molecular Biology · Computer Science · Engineering · Mathematics · #Advanced Wireless Communication Techniques #DNA and Biological Computing #Error Correcting Code Techniques #FOS: Computer and information sciences #Information Theory (cs.IT) #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.1308.5793

18 pages, 2 figures

openalex publication_date 2013/08/27 · arxiv created 2015/06/27 · arxiv updated 2015/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Consider a single-user or multiple-access channel with a large output alphabet. A method to approximate the channel by an upgraded version having a smaller output alphabet is presented and analyzed. The original channel is not necessarily symmetric and does not necessarily have a binary input alphabet. Also, the input distribution is not necessarily uniform. The approximation method is instrumental when constructing capacity achieving polar codes for an asymmetric channel with a non-binary input alphabet. Other settings in which the method is instrumental are the wiretap setting as well as the lossy source coding setting.

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