Statistical mechanics of broadcast channels using low-density parity-check codes

Nakamura, Kazutaka, Kabashima, Yoshiyuki, Morelos-Zaragoza, R. and Saad, David (2003). Statistical mechanics of broadcast channels using low-density parity-check codes. Physical Review E, 67 ,

Abstract

We 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.

Publication DOI: https://doi.org/10.1103/PhysRevE.67.036703
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Additional Information: Copyright of the American Physical Society
Uncontrolled Keywords: Gallager,low-density parity-check,degraded broadcast channel,belief propagation algorithm
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Related URLs: http://link.aps ... sRevE.67.036703 (Publisher URL)
http://www.scop ... tnerID=8YFLogxK (Scopus URL)
Published Date: 2003-03-28
Authors: Nakamura, Kazutaka
Kabashima, Yoshiyuki
Morelos-Zaragoza, R.
Saad, David ( 0000-0001-9821-2623)

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