The λ-κ-μ Fading Distribution

Huan Wang; Guanjun Xu; Junliang Liu; Zhaohui Song; Qinyu Zhang; Wei Zhang

doi:10.1109/LAWP.2024.3449112

The λ-κ-μ Fading Distribution

Huan Wang
, Guanjun Xu^*
, Junliang Liu
, Zhaohui Song
, Qinyu Zhang
, Wei Zhang

^*Corresponding author for this work

East China Normal University
Hangzhou Dianzi University
Harbin Institute of Technology Shenzhen
University of New South Wales

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

Abstract

In this letter, a λ-κ-μ fading distribution is presented to investigate the fading characteristics of the signal amplitude during signal transmission in the nonhomogeneous medium. The exact closed expressions for the probability density function, cumulative distribution function, higher order raw moments, and moment-generating function of λ-κ-μ distribution are presented, and verified by the metropolis method.The results reveal that larger values of κ, μ, and λ result in higher kurtosis of the envelope curve. In addition, for the same fading scenarios, smaller μ values result in both higher interruption probabilities and impulses occurring at the origin. Noteworthy is its universality, as λ-κ-μ can embrace Nakagami-m, one-sided Gaussian, Rayleigh, and Rice distributions as a special case..

Original language	English
Pages (from-to)	4398-4402
Number of pages	5
Journal	IEEE Antennas and Wireless Propagation Letters
Volume	23
Issue number	12
DOIs	https://doi.org/10.1109/LAWP.2024.3449112
State	Published - 2024
Externally published	Yes

Keywords

Composite fading model
correlation
fading channels
generalized distribution
nonhomogeneous medium

Access to Document

10.1109/LAWP.2024.3449112

Cite this

@article{f904e6956f9f4f2e9da36abe77b611ad,

title = "The λ-κ-μ Fading Distribution",

abstract = "In this letter, a λ-κ-μ fading distribution is presented to investigate the fading characteristics of the signal amplitude during signal transmission in the nonhomogeneous medium. The exact closed expressions for the probability density function, cumulative distribution function, higher order raw moments, and moment-generating function of λ-κ-μ distribution are presented, and verified by the metropolis method.The results reveal that larger values of κ, μ, and λ result in higher kurtosis of the envelope curve. In addition, for the same fading scenarios, smaller μ values result in both higher interruption probabilities and impulses occurring at the origin. Noteworthy is its universality, as λ-κ-μ can embrace Nakagami-m, one-sided Gaussian, Rayleigh, and Rice distributions as a special case..",

keywords = "Composite fading model, correlation, fading channels, generalized distribution, nonhomogeneous medium",

author = "Huan Wang and Guanjun Xu and Junliang Liu and Zhaohui Song and Qinyu Zhang and Wei Zhang",

note = "Publisher Copyright: {\textcopyright} 2024 IEEE.",

year = "2024",

doi = "10.1109/LAWP.2024.3449112",

language = "英语",

volume = "23",

pages = "4398--4402",

journal = "IEEE Antennas and Wireless Propagation Letters",

issn = "1536-1225",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "12",

}

TY - JOUR

T1 - The λ-κ-μ Fading Distribution

AU - Wang, Huan

AU - Xu, Guanjun

AU - Liu, Junliang

AU - Song, Zhaohui

AU - Zhang, Qinyu

AU - Zhang, Wei

PY - 2024

Y1 - 2024

N2 - In this letter, a λ-κ-μ fading distribution is presented to investigate the fading characteristics of the signal amplitude during signal transmission in the nonhomogeneous medium. The exact closed expressions for the probability density function, cumulative distribution function, higher order raw moments, and moment-generating function of λ-κ-μ distribution are presented, and verified by the metropolis method.The results reveal that larger values of κ, μ, and λ result in higher kurtosis of the envelope curve. In addition, for the same fading scenarios, smaller μ values result in both higher interruption probabilities and impulses occurring at the origin. Noteworthy is its universality, as λ-κ-μ can embrace Nakagami-m, one-sided Gaussian, Rayleigh, and Rice distributions as a special case..

AB - In this letter, a λ-κ-μ fading distribution is presented to investigate the fading characteristics of the signal amplitude during signal transmission in the nonhomogeneous medium. The exact closed expressions for the probability density function, cumulative distribution function, higher order raw moments, and moment-generating function of λ-κ-μ distribution are presented, and verified by the metropolis method.The results reveal that larger values of κ, μ, and λ result in higher kurtosis of the envelope curve. In addition, for the same fading scenarios, smaller μ values result in both higher interruption probabilities and impulses occurring at the origin. Noteworthy is its universality, as λ-κ-μ can embrace Nakagami-m, one-sided Gaussian, Rayleigh, and Rice distributions as a special case..

KW - Composite fading model

KW - correlation

KW - fading channels

KW - generalized distribution

KW - nonhomogeneous medium

UR - https://www.scopus.com/pages/publications/85201749137

U2 - 10.1109/LAWP.2024.3449112

DO - 10.1109/LAWP.2024.3449112

M3 - 文章

AN - SCOPUS:85201749137

SN - 1536-1225

VL - 23

SP - 4398

EP - 4402

JO - IEEE Antennas and Wireless Propagation Letters

JF - IEEE Antennas and Wireless Propagation Letters

IS - 12

ER -

The λ-κ-μ Fading Distribution

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this