Construction of Low-Rate LDPC Codes from Rate-1/2 CCSDS Standard LDPC Codes

The existing Consultative Committee for Space Data Systems (CCSDS) standard uses low-density parity-check (LDPC) codes for higher code rates including 1/2, 2/3, and 4/5, supporting message block lengths of 1024,4096, and 16384. For lower code rates, the CCSDS standard uses turbo codes, providing rates of 1/3, 1/4 and 1/6 and supporting message block lengths of 1784, 3568, and 16384. However, the frame error rate (FER) performance of the turbo codes shows an error floor where the slope of frame error rate curve begins to flatten between FERs of 10–<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">3</sup> and 10-<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">5</sup>. The resulting FER performance is undesirable for certain space applications. This paper uses the Protograph-Based Raptor-Like (PBRL) approach to provide new lower LDPC code rates of 1/3,1/4 and 1/6 for the existing LDPC message lengths of 1024,4096, and 16384 that are rate-compatible with the existing CCSDS rate-1/2 LDPC codes and do not suffer from an error floor (at least above FER 10–<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">7</sup>).

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Published
2025-03-01
DOI
https://doi.org/10.1109/aero63441.2025.11068439
Citations
1
Primary Topic
Error Correcting Code Techniques
Type
article
Field-Weighted Citation Impact
1.49

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article

Construction of Low-Rate LDPC Codes from Rate-1/2 CCSDS Standard LDPC Codes

Richard D. Wesel, D. Divsalar, Jon Hamkins, Semira Galijašević et al.
1 citations
Error Correcting Code Techniques
1.49
article

Construction of Low-Rate LDPC Codes from Rate-1/2 CCSDS Standard LDPC Codes

Richard D. Wesel, D. Divsalar, Jon Hamkins, Semira Galijašević, Linfang Wang
article en
1 citations

Abstract

The existing Consultative Committee for Space Data Systems (CCSDS) standard uses low-density parity-check (LDPC) codes for higher code rates including 1/2, 2/3, and 4/5, supporting message block lengths of 1024,4096, and 16384. For lower code rates, the CCSDS standard uses turbo codes, providing rates of 1/3, 1/4 and 1/6 and supporting message block lengths of 1784, 3568, and 16384. However, the frame error rate (FER) performance of the turbo codes shows an error floor where the slope of frame error rate curve begins to flatten between FERs of 10–<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">3</sup> and 10-<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">5</sup>. The resulting FER performance is undesirable for certain space applications. This paper uses the Protograph-Based Raptor-Like (PBRL) approach to provide new lower LDPC code rates of 1/3,1/4 and 1/6 for the existing LDPC message lengths of 1024,4096, and 16384 that are rate-compatible with the existing CCSDS rate-1/2 LDPC codes and do not suffer from an error floor (at least above FER 10–<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">7</sup>).

Jet Propulsion Laboratory (US), University of California, Los Angeles (US)
National Aeronautics and Space Administration
Openalex Percentile: Top 15%
Error Correcting Code Techniques
1.49
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Construction of Low-Rate LDPC Codes from Rate-1/2 CCSDS Standard LDPC Codes — Richard D. Wesel, D. Divsalar, et al. · (2025) | TGRS Research Map | TGRS