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

Coskun, Mustafa Cemil and Neu, Joachim and Pfister, Henry (2020) Successive Cancellation Inactivation Decoding for Modified Reed-Muller and eBCH Codes. In: IEEE International Symposium on Information Theory - Proceedings. IEEE International Symposium on Information Theory, 2020-06-21 - 2020-06-26, Los Angeles, California, USA. doi: 10.1109/ISIT44484.2020.9174226. ISBN 978-172816432-8. ISSN 2157-8095.

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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.

Item URL in elib:https://elib.dlr.de/135278/
Document Type:Conference or Workshop Item (Speech)
Title:Successive Cancellation Inactivation Decoding for Modified Reed-Muller and eBCH Codes
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Coskun, Mustafa Cemilmustafa.coskun (at) dlr.deUNSPECIFIEDUNSPECIFIED
Neu, JoachimStanford Univ.UNSPECIFIEDUNSPECIFIED
Pfister, HenryDuke Univ.UNSPECIFIEDUNSPECIFIED
Date:June 2020
Journal or Publication Title:IEEE International Symposium on Information Theory - Proceedings
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:No
DOI:10.1109/ISIT44484.2020.9174226
Series Name:IEEE
ISSN:2157-8095
ISBN:978-172816432-8
Status:Published
Keywords:Reed-Muller codes, polar codes, eBCH codes, polar subcodes, list decoding, dynamic frozen bits, erasure channel
Event Title:IEEE International Symposium on Information Theory
Event Location:Los Angeles, California, USA
Event Type:international Conference
Event Start Date:21 June 2020
Event End Date:26 June 2020
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Communication and Navigation
DLR - Research area:Raumfahrt
DLR - Program:R KN - Kommunikation und Navigation
DLR - Research theme (Project):R - Vorhaben Multimedia Satellitennetze (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Communication and Navigation > Satellite Networks
Deposited By: Coskun, Mustafa Cemil
Deposited On:15 Jun 2020 14:18
Last Modified:21 Oct 2024 09:51

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