The Double Shadowed κ-μ Fading Model

Nidhi Simmons; Carlos Rafael Nogueira Da Silva; Simon L. Cotton; Paschalis C. 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 L. Cotton
, Paschalis C. Sofotasios
, Seong Ki Yoo
, Michel Daoud Yacoub

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

11 Citations (Scopus)

45 Downloads (Pure)

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	2019 International Conference on Wireless and Mobile Computing, Networking and Communications, WiMob 2019
Publisher	IEEE
ISBN (Electronic)	9781728133164
DOIs	https://doi.org/10.1109/WiMOB.2019.8923336
Publication status	Published - 1 Oct 2019
Publication type	A4 Article in conference proceedings
Event	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	International Conference on Wireless and Mobile Computing, Networking and Communications
ISSN (Print)	2161-9646
ISSN (Electronic)	2161-9654

Conference

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

Funding

This work was supported by the U.K. Engineering and Physical Sciences Research Council (EPSRC) under Grant Reference EP/L026074/1, the Department for the Economy, Northern Ireland under Grant Reference USI080, and in part by Khalifa University under Grant No. KU/RC1-C2PS-T2/8474000137 and Grant No. KU/FSU-8474000122.

Publication forum classification

Publication forum level 1

ASJC Scopus subject areas

Computer Networks and Communications
Hardware and Architecture
Software

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10.1109/WiMOB.2019.8923336

The Double Shadowed k-m Fading Model 2019
This publication is copyrighted. You may download, display and print it for Your own personal use. Commercial use is prohibited.
Accepted author manuscript, 317 KB

http://urn.fi/URN:NBN:fi:tuni-202012028411

Cite this

Simmons, N., Nogueira Da Silva, C. R., Cotton, S. L., Sofotasios, P. C., Ki Yoo, S., & Yacoub, M. D. (2019). The Double Shadowed κ-μ Fading Model. In 2019 International Conference on Wireless and Mobile Computing, Networking and Communications, WiMob 2019 (International Conference on Wireless and Mobile Computing, Networking and Communications). IEEE. 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.",

author = "Nidhi Simmons and \{Nogueira Da Silva\}, \{Carlos Rafael\} and Cotton, \{Simon L.\} and Sofotasios, \{Paschalis C.\} and \{Ki Yoo\}, Seong and Yacoub, \{Michel Daoud\}",

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}

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

The Double Shadowed κ-μ Fading Model. / Simmons, Nidhi; Nogueira Da Silva, Carlos Rafael; Cotton, Simon L. et al.
2019 International Conference on Wireless and Mobile Computing, Networking and Communications, WiMob 2019. IEEE, 2019. (International Conference on Wireless and Mobile Computing, Networking and Communications).

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

TY - GEN

T1 - The Double Shadowed κ-μ Fading Model

AU - Simmons, Nidhi

AU - Nogueira Da Silva, Carlos Rafael

AU - Cotton, Simon L.

AU - Sofotasios, Paschalis C.

AU - Ki Yoo, Seong

AU - Yacoub, Michel Daoud

N1 - Conference code: 15

PY - 2019/10/1

Y1 - 2019/10/1

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.

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M3 - Conference contribution

AN - SCOPUS:85077583520

T3 - International Conference on Wireless and Mobile Computing, Networking and Communications

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

PB - IEEE

T2 - 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

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