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
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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

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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.

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KW - multi-antenna systems

KW - transmitter power control

KW - transmitters

KW - vectors

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KW - frequency

KW - covariance matrix

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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