On the origin of polar coding

Date
2016
Authors
Arıkan, E.
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Source Title
IEEE Journal on Selected Areas in Communications
Print ISSN
0733-8716
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Institute of Electrical and Electronics Engineers Inc.
Volume
34
Issue
2
Pages
209 - 223
Language
English
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Abstract

Polar coding was conceived originally as a technique for boosting the cutoff rate of sequential decoding, along the lines of earlier schemes of Pinsker and Massey. The key idea in boosting the cutoff rate is to take a vector channel (either given or artificially built), split it into multiple correlated subchannels, and employ a separate sequential decoder on each subchannel. Polar coding was originally designed to be a low-complexity recursive channel combining and splitting operation of this type, to be used as the inner code in a concatenated scheme with outer convolutional coding and sequential decoding. However, the polar inner code turned out to be so effective that no outer code was actually needed to achieve the original aim of boosting the cutoff rate to channel capacity. This paper explains the cutoff rate considerations that motivated the development of polar coding.

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