Ratio of κ-μ Variates and Its Application in Spectrum Sharing

Elvio J. Leonardo; Ugo S. Dias; Daniel B. Da Costa; Michel D. Yacoub

doi:10.1109/PIMRC.2017.8292384

Ratio of κ-μ Variates and Its Application in Spectrum Sharing

Elvio J. Leonardo, Ugo S. Dias, Daniel B. Da Costa, Michel D. Yacoub

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

2 Scopus citations

Abstract

In this paper, general, easy to compute, exact expressions for the probability density function, cumulative distribution function and average value of the ratio of independent non-identically distributed κ-μ random variables, with arbitrary parameters, are derived. As an application example, capacity analysis of spectrum sharing systems undergoing κ-μ fading is provided. Specifically, expressions for the outage capacity with peak interference power constraint, the delay-limited capacity, and the ergodic capacity with average interference power constraint are derived. Numerical results are shown in order to investigate the effect of the fading parameters on the system capacity.

Original language	English
Title of host publication	2017 IEEE International Symposium on Personal, Indoor and Mobile Radio Communications
Subtitle of host publication	Engaged Citizens and their New Smart Worlds, PIMRC 2017 - Conference Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1-5
Number of pages	5
ISBN (Electronic)	9781538635315
DOIs	https://doi.org/10.1109/PIMRC.2017.8292384
State	Published - 2 Jul 2017
Externally published	Yes

Publication series

Name	IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, PIMRC
Volume	2017-October

Bibliographical note

Publisher Copyright:
© 2017 IEEE.

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.1109/PIMRC.2017.8292384

Cite this

Leonardo, E. J., Dias, U. S., Da Costa, D. B., & Yacoub, M. D. (2017). Ratio of κ-μ Variates and Its Application in Spectrum Sharing. In 2017 IEEE International Symposium on Personal, Indoor and Mobile Radio Communications: Engaged Citizens and their New Smart Worlds, PIMRC 2017 - Conference Proceedings (pp. 1-5). (IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, PIMRC; Vol. 2017-October). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/PIMRC.2017.8292384

Leonardo, Elvio J. ; Dias, Ugo S. ; Da Costa, Daniel B. et al. / Ratio of κ-μ Variates and Its Application in Spectrum Sharing. 2017 IEEE International Symposium on Personal, Indoor and Mobile Radio Communications: Engaged Citizens and their New Smart Worlds, PIMRC 2017 - Conference Proceedings. Institute of Electrical and Electronics Engineers Inc., 2017. pp. 1-5 (IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, PIMRC).

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title = "Ratio of κ-μ Variates and Its Application in Spectrum Sharing",

abstract = "In this paper, general, easy to compute, exact expressions for the probability density function, cumulative distribution function and average value of the ratio of independent non-identically distributed κ-μ random variables, with arbitrary parameters, are derived. As an application example, capacity analysis of spectrum sharing systems undergoing κ-μ fading is provided. Specifically, expressions for the outage capacity with peak interference power constraint, the delay-limited capacity, and the ergodic capacity with average interference power constraint are derived. Numerical results are shown in order to investigate the effect of the fading parameters on the system capacity.",

author = "Leonardo, \{Elvio J.\} and Dias, \{Ugo S.\} and \{Da Costa\}, \{Daniel B.\} and Yacoub, \{Michel D.\}",

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doi = "10.1109/PIMRC.2017.8292384",

language = "English",

series = "IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, PIMRC",

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Leonardo, EJ, Dias, US, Da Costa, DB & Yacoub, MD 2017, Ratio of κ-μ Variates and Its Application in Spectrum Sharing. in 2017 IEEE International Symposium on Personal, Indoor and Mobile Radio Communications: Engaged Citizens and their New Smart Worlds, PIMRC 2017 - Conference Proceedings. IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, PIMRC, vol. 2017-October, Institute of Electrical and Electronics Engineers Inc., pp. 1-5. https://doi.org/10.1109/PIMRC.2017.8292384

Ratio of κ-μ Variates and Its Application in Spectrum Sharing. / Leonardo, Elvio J.; Dias, Ugo S.; Da Costa, Daniel B. et al.
2017 IEEE International Symposium on Personal, Indoor and Mobile Radio Communications: Engaged Citizens and their New Smart Worlds, PIMRC 2017 - Conference Proceedings. Institute of Electrical and Electronics Engineers Inc., 2017. p. 1-5 (IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, PIMRC; Vol. 2017-October).

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

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AB - In this paper, general, easy to compute, exact expressions for the probability density function, cumulative distribution function and average value of the ratio of independent non-identically distributed κ-μ random variables, with arbitrary parameters, are derived. As an application example, capacity analysis of spectrum sharing systems undergoing κ-μ fading is provided. Specifically, expressions for the outage capacity with peak interference power constraint, the delay-limited capacity, and the ergodic capacity with average interference power constraint are derived. Numerical results are shown in order to investigate the effect of the fading parameters on the system capacity.

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Leonardo EJ, Dias US, Da Costa DB, Yacoub MD. Ratio of κ-μ Variates and Its Application in Spectrum Sharing. In 2017 IEEE International Symposium on Personal, Indoor and Mobile Radio Communications: Engaged Citizens and their New Smart Worlds, PIMRC 2017 - Conference Proceedings. Institute of Electrical and Electronics Engineers Inc. 2017. p. 1-5. (IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, PIMRC). doi: 10.1109/PIMRC.2017.8292384

Ratio of κ-μ Variates and Its Application in Spectrum Sharing

Abstract

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ASJC Scopus subject areas

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