The Double Shadowed κ-µ Fading Model

Nidhi Simmons; Carlos Rafael Nogueira da Silva; Simon Cotton; Paschalis Sofotasios; Seong Ki Yoo; Michel Daoud Yacoub

doi:10.1109/WiMOB.2019.8923336

The Double Shadowed κ-µ Fading Model

Nidhi Simmons, Carlos Rafael Nogueira da Silva, Simon Cotton, Paschalis Sofotasios, Seong Ki Yoo, Michel Daoud Yacoub

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

9 Citations (Scopus)

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Abstract

In this paper, we introduce a new fading model which is capable of characterizing both the shadowing of the dominant component and composite shadowing which may exist in wireless channels. More precisely, this new model assumes a κ-μ envelope where the dominant component is fluctuated by a Nakagami-m random variable (RV) which is preceded (or succeeded) by a secondary round of shadowing brought about by an inverse Nakagami-m RV. We conveniently refer to this as the double shadowed κ-μ fading model. In this context, novel closed-form and analytical expressions are developed for a range of channel related statistics, such as the probability density function, cumulative distribution function, and moments. All of the derived expressions have been validated through Monte-Carlo simulations and reduction to a number of well-known special cases. It is worth highlighting that the proposed fading model offers remarkable flexibility as it includes the κ-μ, η-μ, Rician shadowed, double shadowed Rician, κ-μ shadowed, κ-μ/inverse gamma and η-μ/inverse gamma distributions as special cases.

Original language	English
Title of host publication	International Conference on Wireless and Mobile Computing, Networking and Communications (WiMob)
Place of Publication	IEEE
Number of pages	6
ISBN (Electronic)	978-1-7281-3316-4
DOIs	https://doi.org/10.1109/WiMOB.2019.8923336
Publication status	Published - 5 Dec 2019
Externally published	Yes
Event	2019 International Conference on Wireless and Mobile Computing, Networking and Communications - Barcelona, Spain Duration: 21 Oct 2019 → 23 Oct 2019 Conference number: 15

Publication series

Name
ISSN (Electronic)	2160-4894

Conference

Conference	2019 International Conference on Wireless and Mobile Computing, Networking and Communications
Abbreviated title	WiMob 2019
Country/Territory	Spain
City	Barcelona
Period	21/10/19 → 23/10/19

Bibliographical note

© 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

Keywords

Fading channels
Shadow mapping
Rician channels
Numerical models
Computational modeling
Wireless communication
Probability

Access to Document

10.1109/WiMOB.2019.8923336

Post-PrintAccepted author manuscript, 687 KBLicence: Unspecified

Cite this

Simmons, N, Nogueira da Silva, CR, Cotton, S, Sofotasios, P, Yoo, SK & Yacoub, MD 2019, The Double Shadowed κ-µ Fading Model. in International Conference on Wireless and Mobile Computing, Networking and Communications (WiMob). IEEE, 2019 International Conference on Wireless and Mobile Computing, Networking and Communications , Barcelona, Spain, 21/10/19. https://doi.org/10.1109/WiMOB.2019.8923336

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title = "The Double Shadowed κ-µ Fading Model",

abstract = "In this paper, we introduce a new fading model which is capable of characterizing both the shadowing of the dominant component and composite shadowing which may exist in wireless channels. More precisely, this new model assumes a κ-μ envelope where the dominant component is fluctuated by a Nakagami-m random variable (RV) which is preceded (or succeeded) by a secondary round of shadowing brought about by an inverse Nakagami-m RV. We conveniently refer to this as the double shadowed κ-μ fading model. In this context, novel closed-form and analytical expressions are developed for a range of channel related statistics, such as the probability density function, cumulative distribution function, and moments. All of the derived expressions have been validated through Monte-Carlo simulations and reduction to a number of well-known special cases. It is worth highlighting that the proposed fading model offers remarkable flexibility as it includes the κ-μ, η-μ, Rician shadowed, double shadowed Rician, κ-μ shadowed, κ-μ/inverse gamma and η-μ/inverse gamma distributions as special cases.",

keywords = "Fading channels, Shadow mapping, Rician channels, Numerical models, Computational modeling, Wireless communication, Probability",

author = "Nidhi Simmons and {Nogueira da Silva}, {Carlos Rafael} and Simon Cotton and Paschalis Sofotasios and Yoo, {Seong Ki} and Yacoub, {Michel Daoud}",

note = "{\textcopyright} 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.; 2019 International Conference on Wireless and Mobile Computing, Networking and Communications , WiMob 2019 ; Conference date: 21-10-2019 Through 23-10-2019",

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AU - Nogueira da Silva, Carlos Rafael

AU - Cotton, Simon

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AU - Yoo, Seong Ki

AU - Yacoub, Michel Daoud

N1 - Conference code: 15

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N2 - In this paper, we introduce a new fading model which is capable of characterizing both the shadowing of the dominant component and composite shadowing which may exist in wireless channels. More precisely, this new model assumes a κ-μ envelope where the dominant component is fluctuated by a Nakagami-m random variable (RV) which is preceded (or succeeded) by a secondary round of shadowing brought about by an inverse Nakagami-m RV. We conveniently refer to this as the double shadowed κ-μ fading model. In this context, novel closed-form and analytical expressions are developed for a range of channel related statistics, such as the probability density function, cumulative distribution function, and moments. All of the derived expressions have been validated through Monte-Carlo simulations and reduction to a number of well-known special cases. It is worth highlighting that the proposed fading model offers remarkable flexibility as it includes the κ-μ, η-μ, Rician shadowed, double shadowed Rician, κ-μ shadowed, κ-μ/inverse gamma and η-μ/inverse gamma distributions as special cases.

AB - In this paper, we introduce a new fading model which is capable of characterizing both the shadowing of the dominant component and composite shadowing which may exist in wireless channels. More precisely, this new model assumes a κ-μ envelope where the dominant component is fluctuated by a Nakagami-m random variable (RV) which is preceded (or succeeded) by a secondary round of shadowing brought about by an inverse Nakagami-m RV. We conveniently refer to this as the double shadowed κ-μ fading model. In this context, novel closed-form and analytical expressions are developed for a range of channel related statistics, such as the probability density function, cumulative distribution function, and moments. All of the derived expressions have been validated through Monte-Carlo simulations and reduction to a number of well-known special cases. It is worth highlighting that the proposed fading model offers remarkable flexibility as it includes the κ-μ, η-μ, Rician shadowed, double shadowed Rician, κ-μ shadowed, κ-μ/inverse gamma and η-μ/inverse gamma distributions as special cases.

KW - Fading channels

KW - Shadow mapping

KW - Rician channels

KW - Numerical models

KW - Computational modeling

KW - Wireless communication

KW - Probability

U2 - 10.1109/WiMOB.2019.8923336

DO - 10.1109/WiMOB.2019.8923336

M3 - Conference proceeding

SN - 978-1-7281-3317-1

BT - International Conference on Wireless and Mobile Computing, Networking and Communications (WiMob)

CY - IEEE

T2 - 2019 International Conference on Wireless and Mobile Computing, Networking and Communications

Y2 - 21 October 2019 through 23 October 2019

ER -

The Double Shadowed κ-µ Fading Model

Abstract

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Bibliographical note

Keywords

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