The α - μ joint envelope-phase fading distribution

Anastasios K. Papazafeiropoulos; Stavros A. Kotsopoulos

doi:10.1109/PIMRC.2009.5450361

The α - μ joint envelope-phase fading distribution

Anastasios K. Papazafeiropoulos, Stavros A. Kotsopoulos

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

9 Citations (Scopus)

Abstract

In this paper, a new, simple, and exact closedform expression for the envelope-phase joint distribution of a signal, operating in α - μ generalized fading channels, has been derived. The marginal distribution of the phase is also obtained in an exact closed-form expression and studied in depth. The analytical results are general and after suitable simplifications, they are verified mathematically, since they coincide to the respective ones of the models included in the α - μ distribution (i.e., the Nakagami-m, the Weibull, and the Rayleigh distributions for which the corresponding solutions are known). Finally, a sample of numerical results, obtained by the Monte Carlo simulation, is presented in order to validate the formulations developed in this paper.

Original language	English
Title of host publication	2009 IEEE 20th Personal, Indoor and Mobile Radio Communications Symposium, PIMRC 2009
DOIs	https://doi.org/10.1109/PIMRC.2009.5450361
Publication status	Published - 2009
Event	2009 IEEE 20th Personal, Indoor and Mobile Radio Communications Symposium, PIMRC 2009 - Tokyo, Japan Duration: 13 Sept 2009 → 16 Sept 2009

Conference

Conference	2009 IEEE 20th Personal, Indoor and Mobile Radio Communications Symposium, PIMRC 2009
Country/Territory	Japan
City	Tokyo
Period	13/09/09 → 16/09/09

Keywords

α - μ distribution
Fading channels
Nakagami-m distribution
Weibull distribution

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10.1109/PIMRC.2009.5450361

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title = "The α - μ joint envelope-phase fading distribution",

abstract = "In this paper, a new, simple, and exact closedform expression for the envelope-phase joint distribution of a signal, operating in α - μ generalized fading channels, has been derived. The marginal distribution of the phase is also obtained in an exact closed-form expression and studied in depth. The analytical results are general and after suitable simplifications, they are verified mathematically, since they coincide to the respective ones of the models included in the α - μ distribution (i.e., the Nakagami-m, the Weibull, and the Rayleigh distributions for which the corresponding solutions are known). Finally, a sample of numerical results, obtained by the Monte Carlo simulation, is presented in order to validate the formulations developed in this paper.",

keywords = "α - μ distribution, Fading channels, Nakagami-m distribution, Weibull distribution",

author = "Papazafeiropoulos, {Anastasios K.} and Kotsopoulos, {Stavros A.}",

year = "2009",

doi = "10.1109/PIMRC.2009.5450361",

language = "English",

isbn = "9781424451234",

booktitle = "2009 IEEE 20th Personal, Indoor and Mobile Radio Communications Symposium, PIMRC 2009",

note = "2009 IEEE 20th Personal, Indoor and Mobile Radio Communications Symposium, PIMRC 2009 ; Conference date: 13-09-2009 Through 16-09-2009",

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TY - GEN

T1 - The α - μ joint envelope-phase fading distribution

AU - Papazafeiropoulos, Anastasios K.

AU - Kotsopoulos, Stavros A.

PY - 2009

Y1 - 2009

N2 - In this paper, a new, simple, and exact closedform expression for the envelope-phase joint distribution of a signal, operating in α - μ generalized fading channels, has been derived. The marginal distribution of the phase is also obtained in an exact closed-form expression and studied in depth. The analytical results are general and after suitable simplifications, they are verified mathematically, since they coincide to the respective ones of the models included in the α - μ distribution (i.e., the Nakagami-m, the Weibull, and the Rayleigh distributions for which the corresponding solutions are known). Finally, a sample of numerical results, obtained by the Monte Carlo simulation, is presented in order to validate the formulations developed in this paper.

AB - In this paper, a new, simple, and exact closedform expression for the envelope-phase joint distribution of a signal, operating in α - μ generalized fading channels, has been derived. The marginal distribution of the phase is also obtained in an exact closed-form expression and studied in depth. The analytical results are general and after suitable simplifications, they are verified mathematically, since they coincide to the respective ones of the models included in the α - μ distribution (i.e., the Nakagami-m, the Weibull, and the Rayleigh distributions for which the corresponding solutions are known). Finally, a sample of numerical results, obtained by the Monte Carlo simulation, is presented in order to validate the formulations developed in this paper.

KW - α - μ distribution

KW - Fading channels

KW - Nakagami-m distribution

KW - Weibull distribution

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DO - 10.1109/PIMRC.2009.5450361

M3 - Conference contribution

AN - SCOPUS:77952874371

SN - 9781424451234

BT - 2009 IEEE 20th Personal, Indoor and Mobile Radio Communications Symposium, PIMRC 2009

T2 - 2009 IEEE 20th Personal, Indoor and Mobile Radio Communications Symposium, PIMRC 2009

Y2 - 13 September 2009 through 16 September 2009

ER -

The α - μ joint envelope-phase fading distribution

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