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29 March 2024
 
  » pubmed » pmid12689198

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Statistical mechanics of broadcast channels using low-density parity-check codes
Kazutaka Nakamura ; Yoshiyuki Kabashima ; Robert Morelos-Zaragoza ; David Saad ;
Date 28 Feb 2003
Journal Phys Rev E, 67 (3 Pt 2), 036703
AbstractWe investigate the use of Gallager’s low-density parity-check (LDPC) codes in a degraded broadcast channel, one of the fundamental models in network information theory. Combining linear codes is a standard technique in practical network communication schemes and is known to provide better performance than simple time sharing methods when algebraic codes are used. The statistical physics based analysis shows that the practical performance of the suggested method, achieved by employing the belief propagation algorithm, is superior to that of LDPC based time sharing codes while the best performance, when received transmissions are optimally decoded, is bounded by the time sharing limit.
Source PubMed, pmid12689198
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