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27 April 2024
 
  » arxiv » cond-mat/0204622

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Statistical Mechanics of Broadcast Channels Using Low Density Parity Check Codes
Kazutaka Nakamura ; Robert Morelos-Zaragoza ; David Saad ; Yoshiyuki Kabashima ;
Date 30 Apr 2002
Subject Statistical Mechanics; Disordered Systems and Neural Networks | cond-mat.stat-mech cond-mat.dis-nn
AbstractWe investigate the use of Gallager’s low-density parity-check (LDPC) codes in a 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 timesharing 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 timesharing codes while the best performance, when received transmissions are optimally decoded, is bounded by the timesharing limit.
Source arXiv, cond-mat/0204622
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