TY - CHAP U1 - Konferenzveröffentlichung A1 - Rohweder, Daniel A1 - Freudenberger, Jürgen A1 - Shavgulidze, Sergo T1 - Low-Density Parity-Check Codes over Finite Gaussian Integer Fields T2 - IEEE International Symposium on Information Theory (ISIT), 17-22 June 2018, Vail, CO, USA N2 - 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. Y1 - 2018 UR - https://ieeexplore.ieee.org/document/8437456 SN - 2157-8117 SS - 2157-8117 U6 - https://doi.org/10.1109/ISIT.2018.8437456 DO - https://doi.org/10.1109/ISIT.2018.8437456 N1 - Volltextzugriff für Angehörige der Hochschule Konstanz via Datenbank IEEE Xplore möglich. SP - 481 EP - 485 S1 - 5 ER -