Coding for Communications
C.7.3
Lecture
Polar Codes II

Successive Cancellation Inactivation Decoding for Modified Reed-Muller and eBCH Codes

Mustafa Cemil Coşkun, Joachim Neu, Henry Pfister

Date & Time

01:00 am – 01:00 am

Abstract

A successive cancellation (SC) decoder with inactivations is proposed as an efficient implementation of SC list (SCL) decoding over the binary erasure channel. The proposed decoder assigns a dummy variable to an information bit whenever it is erased during SC decoding and continues with decoding. Inactivated bits are resolved using information gathered from decoding frozen bits. This decoder leverages the structure of the Hadamard matrix, but can be applied to any linear code by representing it as a polar code with dynamic frozen bits. SCL decoders are partially characterized using density evolution to compute the average number of inactivations required to achieve the maximum a-posteriori decoding performance. The proposed measure quantifies the performance vs. complexity trade-off and provides new insight into dynamics of the number of paths in SCL decoding. The technique is applied to analyze Reed-Muller (RM) codes with dynamic frozen bits. It is shown that these modified RM codes perform close to extended BCH codes.


Presenters

Mustafa Cemil Coşkun

Technical University of Munich

Joachim Neu

Stanford University

Henry Pfister

Duke University
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Session Chair

Ido Tal

Technion - Israel Institute of Technology