WLC33-1: Normalization of a fading channel

Aarne Mämmelä; Marko Höyhtyä; Desmond P. Taylor

doi:10.1109/GLOCOM.2006.805

WLC33-1: Normalization of a fading channel

Aarne Mämmelä, Marko Höyhtyä, Desmond P. Taylor

University of Canterbury

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

7 Citations (Scopus)

Abstract

In this paper we discuss the proper normalization of a fading channel model. Physically, radio channels correspond to passive circuits and follow the energy conservation law. The ratio of the received energy to the transmitted energy is the energy gain of the channel. The representative energy gain is defined as the average energy gain for a signal that is uniformly distributed in time, frequency and space. The major approaches for normalization include setting of either the average representative energy gain or the peak energy gain to unity. The peak energy gain of many fading models including Rayleigh fading is infinite, which is obviously impossible in a passive system where the peak energy gain should be less than or equal to unity. Our aim is to show that it is due to the normalization that in some cases the performance in a fading channel is better than in a nonfading channel.

Original language	English
Title of host publication	IEEE Globecom 2006
Publisher	IEEE Institute of Electrical and Electronic Engineers
Pages	1-6
ISBN (Electronic)	1-4244-0357-x
ISBN (Print)	1-4244-0356-1
DOIs	https://doi.org/10.1109/GLOCOM.2006.805
Publication status	Published - 16 Apr 2007
MoE publication type	A4 Article in a conference publication
Event	49th Annual IEEE GLOBECOM Conference : 49th Annual IEEE GLOBECOM Technical Conference and IEEE COMMUNICATIONS EXPO Featuring ACCESS '06 - San Francisco, United States Duration: 27 Nov 2006 → 1 Dec 2006 Conference number: 49

Conference

Conference	49th Annual IEEE GLOBECOM Conference
Country/Territory	United States
City	San Francisco
Period	27/11/06 → 1/12/06

Keywords

Energy conservation law
Energy gain
Multipath fading
Passive systems
Transmitter power control

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10.1109/GLOCOM.2006.805

Cite this

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title = "WLC33-1: Normalization of a fading channel",

abstract = "In this paper we discuss the proper normalization of a fading channel model. Physically, radio channels correspond to passive circuits and follow the energy conservation law. The ratio of the received energy to the transmitted energy is the energy gain of the channel. The representative energy gain is defined as the average energy gain for a signal that is uniformly distributed in time, frequency and space. The major approaches for normalization include setting of either the average representative energy gain or the peak energy gain to unity. The peak energy gain of many fading models including Rayleigh fading is infinite, which is obviously impossible in a passive system where the peak energy gain should be less than or equal to unity. Our aim is to show that it is due to the normalization that in some cases the performance in a fading channel is better than in a nonfading channel.",

keywords = "Energy conservation law, Energy gain, Multipath fading, Passive systems, Transmitter power control",

author = "Aarne M{\"a}mmel{\"a} and Marko H{\"o}yhty{\"a} and Taylor, {Desmond P.}",

year = "2007",

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Y1 - 2007/4/16

N2 - In this paper we discuss the proper normalization of a fading channel model. Physically, radio channels correspond to passive circuits and follow the energy conservation law. The ratio of the received energy to the transmitted energy is the energy gain of the channel. The representative energy gain is defined as the average energy gain for a signal that is uniformly distributed in time, frequency and space. The major approaches for normalization include setting of either the average representative energy gain or the peak energy gain to unity. The peak energy gain of many fading models including Rayleigh fading is infinite, which is obviously impossible in a passive system where the peak energy gain should be less than or equal to unity. Our aim is to show that it is due to the normalization that in some cases the performance in a fading channel is better than in a nonfading channel.

AB - In this paper we discuss the proper normalization of a fading channel model. Physically, radio channels correspond to passive circuits and follow the energy conservation law. The ratio of the received energy to the transmitted energy is the energy gain of the channel. The representative energy gain is defined as the average energy gain for a signal that is uniformly distributed in time, frequency and space. The major approaches for normalization include setting of either the average representative energy gain or the peak energy gain to unity. The peak energy gain of many fading models including Rayleigh fading is infinite, which is obviously impossible in a passive system where the peak energy gain should be less than or equal to unity. Our aim is to show that it is due to the normalization that in some cases the performance in a fading channel is better than in a nonfading channel.

KW - Energy conservation law

KW - Energy gain

KW - Multipath fading

KW - Passive systems

KW - Transmitter power control

U2 - 10.1109/GLOCOM.2006.805

DO - 10.1109/GLOCOM.2006.805

M3 - Conference article in proceedings

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BT - IEEE Globecom 2006

PB - IEEE Institute of Electrical and Electronic Engineers

Y2 - 27 November 2006 through 1 December 2006

ER -

WLC33-1: Normalization of a fading channel

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