Normalization of linear vector channels

Adrian Kotelba, Aarne Mämmelä, Desmond P. Taylor

    Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingsScientificpeer-review

    1 Citation (Scopus)

    Abstract

    In this paper we study the normalization of mathematical models of linear vector channels. The ratio of the received energy to the transmitted energy is the energy gain of the channel. All physical systems follow an energy conservation law which implies that the energy gain of the channel is less than or equal to one. The major approaches for normalization include setting of either the average energy gain or the peak energy gain to unity. The peak energy gain of many mathematical fading models is infinite and those models cannot be normalized by the peak energy gain. We propose a new approach to normalization where the mathematical channel model is guaranteed to represent a physical system with a predefined probability. We show that the proper normalization of the mathematical model and the selection of the correct performance measure are of paramount importance in comparative performance analysis of adaptive transmission systems.
    Original languageEnglish
    Title of host publicationIEEE Global Telecommunications Conference
    Subtitle of host publicationIEEE GLOBECOM 2007
    PublisherIEEE Institute of Electrical and Electronic Engineers
    Pages4537–4542
    ISBN (Electronic)978-1-4244-1043-9
    ISBN (Print)978-1-4244-1042-2
    DOIs
    Publication statusPublished - 2007
    MoE publication typeA4 Article in a conference publication
    EventIEEE Global Telecommunications Conference, GLOBECOM 2007 - Washington, United States
    Duration: 26 Nov 200730 Nov 2007

    Conference

    ConferenceIEEE Global Telecommunications Conference, GLOBECOM 2007
    Abbreviated titleGLOBECOM 2007
    CountryUnited States
    CityWashington
    Period26/11/0730/11/07

    Fingerprint

    Mathematical models
    Energy conservation

    Keywords

    • energy conservation law
    • multi-antenna systems
    • transmitter power control
    • transmitters
    • vectors
    • mathematical model
    • frequency
    • covariance matrix

    Cite this

    Kotelba, A., Mämmelä, A., & Taylor, D. P. (2007). Normalization of linear vector channels. In IEEE Global Telecommunications Conference: IEEE GLOBECOM 2007 (pp. 4537–4542). IEEE Institute of Electrical and Electronic Engineers . https://doi.org/10.1109/GLOCOM.2007.862
    Kotelba, Adrian ; Mämmelä, Aarne ; Taylor, Desmond P. / Normalization of linear vector channels. IEEE Global Telecommunications Conference: IEEE GLOBECOM 2007. IEEE Institute of Electrical and Electronic Engineers , 2007. pp. 4537–4542
    @inproceedings{df504243d3174eaea6af120def240931,
    title = "Normalization of linear vector channels",
    abstract = "In this paper we study the normalization of mathematical models of linear vector channels. The ratio of the received energy to the transmitted energy is the energy gain of the channel. All physical systems follow an energy conservation law which implies that the energy gain of the channel is less than or equal to one. The major approaches for normalization include setting of either the average energy gain or the peak energy gain to unity. The peak energy gain of many mathematical fading models is infinite and those models cannot be normalized by the peak energy gain. We propose a new approach to normalization where the mathematical channel model is guaranteed to represent a physical system with a predefined probability. We show that the proper normalization of the mathematical model and the selection of the correct performance measure are of paramount importance in comparative performance analysis of adaptive transmission systems.",
    keywords = "energy conservation law, multi-antenna systems, transmitter power control, transmitters, vectors, mathematical model, frequency, covariance matrix",
    author = "Adrian Kotelba and Aarne M{\"a}mmel{\"a} and Taylor, {Desmond P.}",
    year = "2007",
    doi = "10.1109/GLOCOM.2007.862",
    language = "English",
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    booktitle = "IEEE Global Telecommunications Conference",
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    }

    Kotelba, A, Mämmelä, A & Taylor, DP 2007, Normalization of linear vector channels. in IEEE Global Telecommunications Conference: IEEE GLOBECOM 2007. IEEE Institute of Electrical and Electronic Engineers , pp. 4537–4542, IEEE Global Telecommunications Conference, GLOBECOM 2007, Washington, United States, 26/11/07. https://doi.org/10.1109/GLOCOM.2007.862

    Normalization of linear vector channels. / Kotelba, Adrian; Mämmelä, Aarne; Taylor, Desmond P.

    IEEE Global Telecommunications Conference: IEEE GLOBECOM 2007. IEEE Institute of Electrical and Electronic Engineers , 2007. p. 4537–4542.

    Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingsScientificpeer-review

    TY - GEN

    T1 - Normalization of linear vector channels

    AU - Kotelba, Adrian

    AU - Mämmelä, Aarne

    AU - Taylor, Desmond P.

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    N2 - In this paper we study the normalization of mathematical models of linear vector channels. The ratio of the received energy to the transmitted energy is the energy gain of the channel. All physical systems follow an energy conservation law which implies that the energy gain of the channel is less than or equal to one. The major approaches for normalization include setting of either the average energy gain or the peak energy gain to unity. The peak energy gain of many mathematical fading models is infinite and those models cannot be normalized by the peak energy gain. We propose a new approach to normalization where the mathematical channel model is guaranteed to represent a physical system with a predefined probability. We show that the proper normalization of the mathematical model and the selection of the correct performance measure are of paramount importance in comparative performance analysis of adaptive transmission systems.

    AB - In this paper we study the normalization of mathematical models of linear vector channels. The ratio of the received energy to the transmitted energy is the energy gain of the channel. All physical systems follow an energy conservation law which implies that the energy gain of the channel is less than or equal to one. The major approaches for normalization include setting of either the average energy gain or the peak energy gain to unity. The peak energy gain of many mathematical fading models is infinite and those models cannot be normalized by the peak energy gain. We propose a new approach to normalization where the mathematical channel model is guaranteed to represent a physical system with a predefined probability. We show that the proper normalization of the mathematical model and the selection of the correct performance measure are of paramount importance in comparative performance analysis of adaptive transmission systems.

    KW - energy conservation law

    KW - multi-antenna systems

    KW - transmitter power control

    KW - transmitters

    KW - vectors

    KW - mathematical model

    KW - frequency

    KW - covariance matrix

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    DO - 10.1109/GLOCOM.2007.862

    M3 - Conference article in proceedings

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    BT - IEEE Global Telecommunications Conference

    PB - IEEE Institute of Electrical and Electronic Engineers

    ER -

    Kotelba A, Mämmelä A, Taylor DP. Normalization of linear vector channels. In IEEE Global Telecommunications Conference: IEEE GLOBECOM 2007. IEEE Institute of Electrical and Electronic Engineers . 2007. p. 4537–4542 https://doi.org/10.1109/GLOCOM.2007.862