Statistical physics of irregular low-density parity-check codes

Vicente, Renato, Saad, David and Kabashima, Yoshiyuki (2000). Statistical physics of irregular low-density parity-check codes. Journal of Physics A: Mathematical and General, 33 (37), pp. 6527-6542.

Abstract

Low-density parity-check codes with irregular constructions have recently been shown to outperform the most advanced error-correcting codes to date. In this paper we apply methods of statistical physics to study the typical properties of simple irregular codes. We use the replica method to find a phase transition which coincides with Shannon's coding bound when appropriate parameters are chosen. The decoding by belief propagation is also studied using statistical physics arguments; the theoretical solutions obtained are in good agreement with simulation results. We compare the performance of irregular codes with that of regular codes and discuss the factors that contribute to the improvement in performance.

Publication DOI: https://doi.org/10.1088/0305-4470/33/37/305
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Additional Information: Copyright of the Institute of Physics
Uncontrolled Keywords: low-density parity check codes,error-correcting codes,statistical physics,Physics and Astronomy(all),Statistical and Nonlinear Physics,Mathematical Physics
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Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
http://iopscien ... -4470/33/37/305 (Publisher URL)
Published Date: 2000-09-22
Authors: Vicente, Renato
Saad, David ( 0000-0001-9821-2623)
Kabashima, Yoshiyuki

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Version: Accepted Version


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