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Reduced Complexity Hard- and Soft input BCH Decoding with Applications in Concatenated Codes

  • Error correction coding for optical communication and storage requires high rate codes that enable high data throughput and low residual errors. Recently, different concatenated coding schemes were proposed that are based on binary BCH codes with low error correcting capabilities. In this work, low-complexity hard- and soft-input decoding methods for such codes are investigated. We propose three concepts to reduce the complexity of the decoder. For the algebraic decoding we demonstrate that Peterson's algorithm can be more efficient than the Berlekamp-Massey algorithm for single, double, and triple error correcting BCH codes. We propose an inversion-less version of Peterson's algorithm and a corresponding decoding architecture. Furthermore, we propose a decoding approach that combines algebraic hard-input decoding with soft-input bit-flipping decoding. An acceptance criterion is utilized to determine the reliability of the estimated codewords. For many received codewords the stopping criterion indicates that the hard-decoding result is sufficiently reliable, and the costly soft-input decoding can be omitted. To reduce the memory size for the soft-values, we propose a bit-flipping decoder that stores only the positions and soft-values of a small number of code symbols. This method significantly reduces the memory requirements and has little adverse effect on the decoding performance.

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Metadaten
Author:Jürgen FreudenbergerORCiDGND, Daniel Nicolas BailonORCiD, Malek Safieh
URN:urn:nbn:de:bsz:kon4-opus4-29799
DOI:https://doi.org/10.1049/cds2.12026
ISSN:1751-858X
ISSN:1751-8598
Parent Title (English):IET circuits, devices & systems
Volume:15
Publisher:Wiley
Place of publication:Hoboken, NY
Document Type:Article
Language:English
Year of Publication:2021
Contributing Corporation:The Institution of Engineering and Technology, London
Release Date:2022/01/10
Issue:3
First Page:284
Last Page:296
Note:
Corresponding author: Jürgen Freudenberger
Institutes:Institut für Systemdynamik - ISD
Open Access?:Ja
Relevance:Peer reviewed Publikation in Master Journal List
Licence (German):License LogoCreative Commons - CC BY - Namensnennung 4.0 International