CDMA multiuser detection, neural networks, and statistical mechanics

Toshiyuki Tanaka, A. J. Han Vinck (Editor)

    Research output: Contribution to conference › Paper

    Abstract

    A novel approach, based on statistical mechanics, to analyze typical performance of optimum code-division multiple-access (CDMA) multiuser detectors is reviewed. A `black-box' view ot the basic CDMA channel is introduced, based on which the CDMA multiuser detection problem is regarded as a `learning-from-examples' problem of the `binary linear perceptron' in the neural network literature. Adopting Bayes framework, analysis of the performance of the optimum CDMA multiuser detectors is reduced to evaluation of the average of the cumulant generating function of a relevant posterior distribution. The evaluation of the average cumulant generating function is done, based on formal analogy with a similar calculation appearing in the spin glass theory in statistical mechanics, by making use of the replica method, a method developed in the spin glass theory.
    Original languageEnglish
    Pages94-97
    Number of pages4
    Publication statusPublished - Jun 2002
    EventProceedings of workshop on concepts in information theory, Breisach, Germany, June, 2002 -
    Duration: 1 Jun 2002 → 1 Jun 2002

    Workshop

    WorkshopProceedings of workshop on concepts in information theory, Breisach, Germany, June, 2002
    Period1/06/02 → 1/06/02

    Fingerprint

    code division multiple access
    statistical mechanics
    spin glass
    self organizing systems
    evaluation
    detectors
    replicas
    learning
    boxes

    Keywords

    • code-division multiple-access
    • multiuser detection problem
    • `learning-from-examples' problem
    • Bayes framework
    • posterior distribution

    Cite this

    Tanaka, T., & Vinck, A. J. H. (Ed.) (2002). CDMA multiuser detection, neural networks, and statistical mechanics. 94-97. Paper presented at Proceedings of workshop on concepts in information theory, Breisach, Germany, June, 2002, .
    Tanaka, Toshiyuki ; Vinck, A. J. Han (Editor). / CDMA multiuser detection, neural networks, and statistical mechanics. Paper presented at Proceedings of workshop on concepts in information theory, Breisach, Germany, June, 2002, .4 p.
    @conference{f9ea96efb57d4217b5212801bf20f498,
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    abstract = "A novel approach, based on statistical mechanics, to analyze typical performance of optimum code-division multiple-access (CDMA) multiuser detectors is reviewed. A `black-box' view ot the basic CDMA channel is introduced, based on which the CDMA multiuser detection problem is regarded as a `learning-from-examples' problem of the `binary linear perceptron' in the neural network literature. Adopting Bayes framework, analysis of the performance of the optimum CDMA multiuser detectors is reduced to evaluation of the average of the cumulant generating function of a relevant posterior distribution. The evaluation of the average cumulant generating function is done, based on formal analogy with a similar calculation appearing in the spin glass theory in statistical mechanics, by making use of the replica method, a method developed in the spin glass theory.",
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    author = "Toshiyuki Tanaka and Vinck, {A. J. Han}",
    year = "2002",
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    language = "English",
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    note = "Proceedings of workshop on concepts in information theory, Breisach, Germany, June, 2002 ; Conference date: 01-06-2002 Through 01-06-2002",

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    Tanaka, T & Vinck, AJH (ed.) 2002, 'CDMA multiuser detection, neural networks, and statistical mechanics' Paper presented at Proceedings of workshop on concepts in information theory, Breisach, Germany, June, 2002, 1/06/02 - 1/06/02, pp. 94-97.

    CDMA multiuser detection, neural networks, and statistical mechanics. / Tanaka, Toshiyuki; Vinck, A. J. Han (Editor).

    2002. 94-97 Paper presented at Proceedings of workshop on concepts in information theory, Breisach, Germany, June, 2002, .

    Research output: Contribution to conference › Paper

    TY - CONF

    T1 - CDMA multiuser detection, neural networks, and statistical mechanics

    AU - Tanaka, Toshiyuki

    A2 - Vinck, A. J. Han

    PY - 2002/6

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    N2 - A novel approach, based on statistical mechanics, to analyze typical performance of optimum code-division multiple-access (CDMA) multiuser detectors is reviewed. A `black-box' view ot the basic CDMA channel is introduced, based on which the CDMA multiuser detection problem is regarded as a `learning-from-examples' problem of the `binary linear perceptron' in the neural network literature. Adopting Bayes framework, analysis of the performance of the optimum CDMA multiuser detectors is reduced to evaluation of the average of the cumulant generating function of a relevant posterior distribution. The evaluation of the average cumulant generating function is done, based on formal analogy with a similar calculation appearing in the spin glass theory in statistical mechanics, by making use of the replica method, a method developed in the spin glass theory.

    AB - A novel approach, based on statistical mechanics, to analyze typical performance of optimum code-division multiple-access (CDMA) multiuser detectors is reviewed. A `black-box' view ot the basic CDMA channel is introduced, based on which the CDMA multiuser detection problem is regarded as a `learning-from-examples' problem of the `binary linear perceptron' in the neural network literature. Adopting Bayes framework, analysis of the performance of the optimum CDMA multiuser detectors is reduced to evaluation of the average of the cumulant generating function of a relevant posterior distribution. The evaluation of the average cumulant generating function is done, based on formal analogy with a similar calculation appearing in the spin glass theory in statistical mechanics, by making use of the replica method, a method developed in the spin glass theory.

    KW - code-division multiple-access

    KW - multiuser detection problem

    KW - `learning-from-examples' problem

    KW - Bayes framework

    KW - posterior distribution

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    ER -

    Tanaka T, Vinck AJH, (ed.). CDMA multiuser detection, neural networks, and statistical mechanics. 2002. Paper presented at Proceedings of workshop on concepts in information theory, Breisach, Germany, June, 2002, .

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