Non-binary protograph low-density parity-check codes for space communications

SUMMARY Protograph‐based non‐binary low‐density parity‐check (LDPC) codes with ultra‐sparse parity‐check matrices are compared with binary LDPC and turbo codes (TCs) from space communication standards. It is shown that larger coding gains are achieved, outperforming the binary competitors by more th...

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Bibliographic Details
Published in:International journal of satellite communications and networking 2012-03, Vol.30 (2), p.43-51
Main Authors: Costantini, Laura, Matuz, Balázs, Liva, Gianluigi, Paolini, Enrico, Chiani, Marco
Format: Article
Language:English
Subjects:
belief propagation
non-binary LDPC codes
protographs
space communications
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Summary:SUMMARY Protograph‐based non‐binary low‐density parity‐check (LDPC) codes with ultra‐sparse parity‐check matrices are compared with binary LDPC and turbo codes (TCs) from space communication standards. It is shown that larger coding gains are achieved, outperforming the binary competitors by more than 0.3 dB on the additive white Gaussian noise channel (AWGN). In the short block length regime, the designed codes gain more than 1 dB with respect to the binary protograph LDPC codes recently proposed for the next generation up‐link standard of the Consultative Committee for Space Data Systems. Copyright © 2012 John Wiley & Sons, Ltd. Protograph based non‐binary low‐density parity‐check codes outperform their binary competitors by far. Sophisticated code designs allow performances close to theoretical bounds, such as the random coding bound (RCB). An efficient frequency domain implementation of the algorithm guarantees a manageable decoding complexity even for moderate Galois field (GF) orders.
ISSN:1542-0973
1542-0981
DOI:10.1002/sat.1004