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Low-Density Parity-Check Codes over Finite Gaussian Integer Fields

  • This work proposes a construction for low-density parity-check (LDPC) codes over finite Gaussian integer fields. Furthermore, a new channel model for codes over Gaussian integers is introduced and its channel capacity is derived. This channel can be considered as a first order approximation of the additive white Gaussian noise channel with hard decision detection where only errors to nearest neighbors in the signal constellation are considered. For this channel, the proposed LDPC codes can be decoded with a simple non-probabilistic iterative decoding algorithm similar to Gallager's decoding algorithm A.

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Author:Daniel Rohweder, Jürgen FreudenbergerORCiDGND, Sergo ShavgulidzeORCiD
Parent Title (English):IEEE International Symposium on Information Theory (ISIT), 17-22 June 2018, Vail, CO, USA
Document Type:Conference Proceeding
Year of Publication:2018
Release Date:2019/01/07
First Page:481
Last Page:485
Volltextzugriff für Angehörige der Hochschule Konstanz via Datenbank IEEE Xplore möglich.
Institutes:Institut für Systemdynamik - ISD
Relevance:Keine peer reviewed Publikation (Wissenschaftlicher Artikel und Aufsatz, Proceeding, Artikel in Tagungsband)
Open Access?:Nein
Licence (English):License LogoLizenzbedingungen IEEE