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Yano, Toru; Tanaka, Toshiyuki; Saad, David
Languages: English
Types: Article

Classified by OpenAIRE into

arxiv: Computer Science::Information Theory
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.
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    • [1] Tanaka T 2001 Europhys. Lett. 54 540-546
    • [2] Tanaka T 2002 IEEE Trans. Info. Theory 48 2888-2910
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    • [4] Moustakas A L, Simon S H and Sengupta A M 2003 IEEE Trans. Info. Theory 49 2545-2561
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    • [6] Alamino R C and Saad D 2007 J. Phys. A: Math. Theor. 40 12259-12279
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    • [9] Verdu´ S 1998 Multiuser Detection (Cambridge, U.K.: Cambridge Univ. Press)
    • [10] Cover T M and Thomas J A 2006 Elements of Information Theory 2nd ed (Hoboken, NJ: WileyInterscience)
    • [11] Verdu´ S and Shamai (Shitz) S 1999 IEEE Trans. Info. Theory 45 622-640
    • [12] Tanaka T 2006 Proc. 2006 IEEE Int. Symp. Info. Theory (Seattle, WA) pp 2368-2372
    • [13] Tanaka T and Nakamura K 2008 Eur. Phys. J. B 10.1140/epjb/e2008-00096-x
    • [14] Gallager R G 1963 Low-Density Parity-Check Codes (Research Monograph) (Cambridge, MA: MIT Press)
    • [15] Kabashima Y and Saad D 2004 J. Phys. A: Math. Gen. 37 R1-R43
    • [16] Murayama T, Kabashima Y, Saad D and Vicente R 2000 Phys. Rev. E 62 1577-1591
    • [17] Tanaka T and Saad D 2003 Proc. 2003 IEEE Int. Symp. Info. Theory (Yokohama, Japan) p 444
    • [18] Dembo A and Zeitouni O 1998 Large Deviations Techniques and Applications 2nd ed (Applications of Mathematics vol 38) (New York: Springer-Verlag)
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