Statistical Mechanical Study of Code-Division Multiple-Access Multiuser Detectors : Analysis of Replica Symmetric and One-Step Replica Symmetry Breaking Solutions(General)

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概要

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• We study the problem of performance evaluation of code-division multiple-access (CDMA) multiuser detectors by means of statistical mechanics using the replica method. The replica symmetric solutions were analyzed previously. As is well known, the replica symmetric solution becomes unstable when the temperature (magnitude of noise) is lowered. In this paper, we investigate both the behavior and the stability of the replica symmetric solutions in the low temperature region. We find that the solutions have complicated bifurcation structures in the low temperature region where the solutions coexist. We also find that there are two types of replica symmetry breaking, Almeida-Thouless (AT)-instability and freezing. We obtain the one-step replica symmetry breaking solution in each case. Further, we compare the theoretical results with the results from the Monte-Carlo simulations. Consequently, we find that the theoretical results agree with the numerical simulations.

• 社団法人日本物理学会の論文
• 2007-05-15

著者

• Yoshida Mika

  Graduate School Of Humanities And Sciences Nara Women's University

• OKADA MASATO

  Graduate School of Frontier Sciences, The University of Tokyo

• UEZU Tatsuya

  Graduate School of Humanities and Sciences, Nara Women's University

• TANAKA Toshiyuki

  Graduate School of Informatics, Kyoto University

• Uezu Tatsuya

  Graduate School Of Human Culture Nara Women's University

• OKADA Masato

  University of Tokyo

• Okada Masato

  Graduate School Of Frontier Sciences The University Of Tokyo

• Okada Masato

  Division Of Transdisciplinary Of Sciences Graduate School Of Frontier Sciences The University Of Tok

• Tanaka Toshiyuki

  Graduate School Of Informatics Kyoto University

• Okada Masato

  Graduate School Of Engineering Science Osaka University

• Uezu Tatsuya

  Nara Women's Univ. Nara

• YOSHIDA Mika

  Graduate School of Humanities and Sciences, Nara Women's University

• TANAKA Toshiyuki

  Graduate School of Engineering, Tokyo Metropolitan University

• OKADA Masato

  Laboratory for Mathematical Neuroscience, RIKEN Brain Science Institute:"Intelligent Cooperation and Control", PRESTO, JST, co RIKEN BSI:Department of Complexity Science and Engineering, Graduate School of Frontier Sciences, the University of To

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