Semantic Scholar Open Access 2011 82 sitasi

Polar codes for q-ary channels, q =2r

Woomyoung Park A. Barg

Abstrak

We study polarization for nonbinary channels with input alphabet of size q = 2r, r = 2,3,.... Using Arikan's polarizing kernel H2, we prove that virtual channels that arise in the process of polarization converge to q-ary channels with capacity 1,2,..., r bits, and that the total transmission rate approaches the symmetric capacity of the channel. This leads to an explicit transmission scheme for q-ary channels. The error probability of decoding using successive cancellation behaves as exp(-Nα), where N is the code length and α is any constant less than 0.5.

Topik & Kata Kunci

Physics Computer Science Mathematics

Penulis (2)

Woomyoung Park

A. Barg

Format Sitasi

APA MLA BibTeX

Park, W., Barg, A. (2011). Polar codes for q-ary channels, q =2r. https://doi.org/10.1109/ISIT.2012.6283741

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Informasi Jurnal

Tahun Terbit: 2011
Bahasa: en
Total Sitasi: 82×
Sumber Database: Semantic Scholar
DOI: 10.1109/ISIT.2012.6283741
Akses: Open Access ✓