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Journal ArticleDOI

The $\alpha$ - $\mu$ Distribution: A Physical Fading Model for the Stacy Distribution

M.D. Yacoub
- 22 Jan 2007 - 
- Vol. 56, Iss: 1, pp 27-34
TLDR
A fading model is introduced, which explores the nonlinearity of the propagation medium and derives the corresponding fading distribution-the alpha-mu distribution-which is in fact a rewritten form of the Stacy (generalized Gamma) distribution.
Abstract
This paper introduces a fading model, which explores the nonlinearity of the propagation medium. It derives the corresponding fading distribution-the alpha-mu distribution-which is in fact a rewritten form of the Stacy (generalized Gamma) distribution. This distribution includes several others such as Gamma (and its discrete versions Erlang and central Chi-squared), Nakagami-m (and its discrete version Chi), exponential, Weibull, one-sided Gaussian, and Rayleigh. Based on the fading model proposed here, higher order statistics are obtained in closed-form formulas. More specifically, level-crossing rate, average fade duration, and joint statistics (joint probability density function, general joint moments, and general correlation coefficient) of correlated alpha-mu variates are obtained, and they are directly related to the physical fading parameters

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Citations
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Journal ArticleDOI

Survey on Free Space Optical Communication: A Communication Theory Perspective

TL;DR: An up-to-date survey on FSO communication systems is presented, describing FSO channel models and transmitter/receiver structures and details on information theoretical limits of FSO channels and algorithmic-level system design research activities to approach these limits are provided.
Journal ArticleDOI

Low Power Wide Area Network Analysis: Can LoRa Scale?

TL;DR: In this paper, the authors provide a stochastic geometry framework for modeling the performance of a single gateway LoRa network, a leading LPWA technology, and show that the coverage probability drops exponentially as the number of end-devices grows due to interfering signals using the same spreading sequence.
Journal ArticleDOI

Generalized Morse Wavelets as a Superfamily of Analytic Wavelets

TL;DR: The generalized Morse wavelets are shown to constitute a superfamily that essentially encompasses all other commonly used analytic wavelets, subsuming eight apparently distinct types of analysis filters into a single common form.
Journal ArticleDOI

Modeling Interference in Wireless Ad Hoc Networks

TL;DR: The interference models are presented in this survey from the perspective of the radio capture phenomenon, resulting in a unified view of interference models, which may be helpful when selecting the appropriate model for a given purpose.
Journal ArticleDOI

Residual Transceiver Hardware Impairments on Cooperative NOMA Networks

TL;DR: It is proved that the OP at high signal-to-noise ratios (SNRs) is a function of threshold, distortion noises, estimation errors and fading parameters, which results in 0 diversity order, and it is demonstrated that the outage performance of cooperative NOMA scenario exceeds the non-cooperative NomA scenario in the high SNR regime.
References
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Book ChapterDOI

The m-Distribution—A General Formula of Intensity Distribution of Rapid Fading

TL;DR: In this article, the authors summarized the principal results of a series of statistical studies in the last seven years on the intensity distributions due to rapid fading, and presented an extremely simplified method for estimating the improvement available from various systems of diversity reception.
Journal ArticleDOI

A Generalization of the Gamma Distribution

TL;DR: In this paper, a generalization of the gamma distribution is proposed, which is based on Liouville's extension to Dirichlet's integral formula, and the moment generating function is shown, and cumulative probabilities are related directly to the incomplete gamma function.
Journal ArticleDOI

Introduction to spread-spectrum antimultipath techniques and their application to urban digital radio

TL;DR: Results of analyses and simulations of various candidate receivers indicated by the theory, as they perform through urban/suburban multipath show that megabit-per-second rates through urban multipath are quite feasible.