Low-complexity decoding for non-binary LDPC codes in high order fields

In this paper, we propose a new implementation of the Extended Min-Sum (EMS) decoder for non-binary LDPC codes. A particularity of the new algorithm is that it takes into accounts the memory problem of the non-binary LDPC decoders, together with a significant complexity reduction per decoding iterat...

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Bibliographic Details
Published in:IEEE transactions on communications Vol. 58; no. 5; pp. 1365 - 1375
Main Authors: Voicila, Adrian, Declercq, David, Verdier, Francois, Fossorier, Marc, Urard, Pascal
Format: Journal Article
Language:English
Published: New York IEEE 01.05.2010
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Institute of Electrical and Electronics Engineers
Subjects:
Channel capacity
Code standards
Computer Science
Digital video broadcasting
Galois fields
Information Theory
Iterative decoding
low complexity algorithm
Mathematics
Medical services
Modulation coding
non-binary LDPC codes
Parity check codes
Performance gain
WiMAX
ISSN:0090-6778, 1558-0857
Online Access:Get full text
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Summary:In this paper, we propose a new implementation of the Extended Min-Sum (EMS) decoder for non-binary LDPC codes. A particularity of the new algorithm is that it takes into accounts the memory problem of the non-binary LDPC decoders, together with a significant complexity reduction per decoding iteration. The key feature of our decoder is to truncate the vector messages of the decoder to a limited number n m of values in order to reduce the memory requirements. Using the truncated messages, we propose an efficient implementation of the EMS decoder which reduces the order of complexity to ¿(n m log 2 n m ). This complexity starts to be reasonable enough to compete with binary decoders. The performance of the low complexity algorithm with proper compensation is quite good with respect to the important complexity reduction, which is shown both with a simulated density evolution approach and actual simulations.
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ISSN:0090-6778
1558-0857
DOI:10.1109/TCOMM.2010.05.070096