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Successive Cancellation Decoding of Single Parity-Check Product Codes

Coskun, Mustafa Cemil and Liva, Gianluigi and Graell i Amat, Alexandre and Lentmaier, Michael (2017) Successive Cancellation Decoding of Single Parity-Check Product Codes. International Symposium on Information Theory, 25-30 Jun 2017, Aachen, Germany.

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Abstract

We introduce successive cancellation (SC) decoding of product codes (PCs) with single parity-check (SPC) component codes. Recursive formulas are derived, which resemble the SC decoding algorithm of polar codes. We analyze the error probability of SPC-PCs over the binary erasure channel under SC decoding. A bridge with the analysis of PCs introduced by Elias in 1954 is also established. Furthermore, bounds on the block error probability under SC decoding are provided, and compared to the bounds under the original decoding algorithm proposed by Elias. It is shown that SC decoding of SPC-PCs achieves a lower block error probability than Elias' decoding.

Item URL in elib:https://elib.dlr.de/112834/
Document Type:Conference or Workshop Item (Speech)
Title:Successive Cancellation Decoding of Single Parity-Check Product Codes
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Coskun, Mustafa Cemilmustafa.coskun (at) dlr.deUNSPECIFIED
Liva, GianluigiGianluigi.Liva (at) dlr.deUNSPECIFIED
Graell i Amat, Alexandrechalmers university of technologyUNSPECIFIED
Lentmaier, MichaelLund UniversityUNSPECIFIED
Date:2017
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Accepted
Keywords:channel coding, polar codes, successive cancellation decoding, product codes
Event Title:International Symposium on Information Theory
Event Location:Aachen, Germany
Event Type:international Conference
Event Dates:25-30 Jun 2017
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
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Communication and Navigation > Satellite Networks
Deposited By: Coskun, Mustafa Cemil
Deposited On:06 Jul 2017 17:48
Last Modified:31 Jul 2019 20:10

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