The Double Shadowed κ-µ Fading Model

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

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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 languageEnglish
Title of host publicationInternational Conference on Wireless and Mobile Computing, Networking and Communications (WiMob)
Place of PublicationIEEE
Number of pages6
ISBN (Electronic)978-1-7281-3316-4
DOIs
Publication statusPublished - 5 Dec 2019
Externally publishedYes
Event2019 International Conference on Wireless and Mobile Computing, Networking and Communications - Barcelona, Spain
Duration: 21 Oct 201923 Oct 2019
Conference number: 15

Publication series

Name
ISSN (Electronic)2160-4894

Conference

Conference2019 International Conference on Wireless and Mobile Computing, Networking and Communications
Abbreviated titleWiMob 2019
CountrySpain
CityBarcelona
Period21/10/1923/10/19

Bibliographical note

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Keywords

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

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  • Cite this

    Simmons, N., Nogueira da Silva, C. R., Cotton, S., Sofotasios, P., Yoo, S. K., & Yacoub, M. D. (2019). The Double Shadowed κ-µ Fading Model. In International Conference on Wireless and Mobile Computing, Networking and Communications (WiMob) IEEE. https://doi.org/10.1109/WiMOB.2019.8923336