A mean field theory of coded CDMA systems

Toru Yano, Toshiyuki Tanaka, David Saad

Research output: Contribution to journalArticlepeer-review


We present a mean field theory of code-division multiple access (CDMA) systems with error-control coding. On the basis of the relation between the free energy and mutual information, we obtain an analytical expression of the maximum spectral efficiency of the coded CDMA system, from which a mean field description of the coded CDMA system is provided in terms of a bank of scalar Gaussian channels whose variances in general vary at different code symbol positions. Regular low-density parity-check (LDPC)-coded CDMA systems are also discussed as an example of the coded CDMA systems.
Original languageEnglish
Article number324022
Pages (from-to)324022
Number of pages1
JournalJournal of Physics A: Mathematical and General
Issue number32
Publication statusPublished - 30 Jul 2008

Bibliographical note

© 2008 IOP Publishing Ltd.


  • mean field theory
  • code-division multiple-access systems
  • error-control coding
  • free energy
  • mutual information
  • maximum spectral efficiency
  • mean-field description
  • bank of scalar Gaussian channels
  • regular low-density parity-check-coded CDMA systems


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