Recursive Descriptions of Polar Codes

Noam Presman; Simon Litsyn

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arXiv · 1209.4818

Recursive Descriptions of Polar Codes

Noam Presman·Simon Litsyn

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Abstract

Polar codes are recursive general concatenated codes. This property motivates a recursive formalization of the known decoding algorithms: Successive Cancellation, Successive Cancellation with Lists and Belief Propagation. Using such description allows an easy development of these algorithms for arbitrary polarizing kernels. Hardware architectures for these decoding algorithms are also described in a recursive way, both for Arikan's standard polar codes and for arbitrary polarizing kernels.

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Noam Presman, Simon Litsyn. 2012-09-21. Recursive Descriptions of Polar Codes. https://arxiv.org/abs/1209.4818

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