Relationship of average transmitted and received energies in adaptive transmission

Aarne Mämmelä, Abrian Kotelba, Marko Höyhtyä, D. P. Taylor

Research output: Contribution to journalArticleScientificpeer-review

14 Citations (Scopus)

Abstract

This paper studies the analytical relationship between the average transmitted and received energies under several adaptive transmitter power control methods, including water filling, truncated power inversion, and downlink beamforming. The study is applicable to many fading channel scenarios, including frequency-nonselective, frequency-selective, and multiple-input-multiple-output (MIMO) channels. Both the average transmitted and received energies are commonly used in performance comparisons, and the selection depends on what one wants to investigate. The transmitted energy is known to be the basic system resource. In the case of adaptive transmission, the average transmitted energy should, in general, be used instead of the average received energy. The use of transmitted energy leads to the normalization problem of the channel. The ratio of received energy to 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 1. The major approaches for normalization include the setting of either the average energy gain or the peak energy gain to unity. In the normalization, the average energy gain is defined for a signal whose energy is uniformly distributed across the frequency and spatial dimensions. The peak energy gain of many mathematical fading models is not bounded, and those models cannot be normalized by the peak energy gain. We show that the proper normalization of the mathematical model and the selection of the correct performance measure are of critical importance in comparative performance analysis of adaptive transmission systems.
Original languageEnglish
Pages (from-to)1257-1268
Number of pages12
JournalIEEE Transactions on Vehicular Technology
Volume59
Issue number3
DOIs
Publication statusPublished - 2010
MoE publication typeA1 Journal article-refereed

Fingerprint

Beamforming
Energy
Power control
Fading channels
Transmitters
Energy conservation
Mathematical models
Normalization
Water
Relationships
Energy Conservation
Power Control
Performance Comparison
Less than or equal to
Fading Channels
Fading
Comparative Analysis
Multiple-input multiple-output (MIMO)
Performance Measures
Transmitter

Keywords

  • Energy-conservation law
  • Multiantenna systems
  • Multipath fading
  • Multiple-inputmultiple-output (MIMO) systems
  • Transmitter power control

Cite this

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title = "Relationship of average transmitted and received energies in adaptive transmission",
abstract = "This paper studies the analytical relationship between the average transmitted and received energies under several adaptive transmitter power control methods, including water filling, truncated power inversion, and downlink beamforming. The study is applicable to many fading channel scenarios, including frequency-nonselective, frequency-selective, and multiple-input-multiple-output (MIMO) channels. Both the average transmitted and received energies are commonly used in performance comparisons, and the selection depends on what one wants to investigate. The transmitted energy is known to be the basic system resource. In the case of adaptive transmission, the average transmitted energy should, in general, be used instead of the average received energy. The use of transmitted energy leads to the normalization problem of the channel. The ratio of received energy to 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 1. The major approaches for normalization include the setting of either the average energy gain or the peak energy gain to unity. In the normalization, the average energy gain is defined for a signal whose energy is uniformly distributed across the frequency and spatial dimensions. The peak energy gain of many mathematical fading models is not bounded, and those models cannot be normalized by the peak energy gain. We show that the proper normalization of the mathematical model and the selection of the correct performance measure are of critical importance in comparative performance analysis of adaptive transmission systems.",
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Relationship of average transmitted and received energies in adaptive transmission. / Mämmelä, Aarne; Kotelba, Abrian; Höyhtyä, Marko; Taylor, D. P.

In: IEEE Transactions on Vehicular Technology, Vol. 59, No. 3, 2010, p. 1257-1268.

Research output: Contribution to journalArticleScientificpeer-review

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