The κ-μ / Inverse Gamma and η-μ / Inverse Gamma Composite Fading Models: Fundamental Statistics and Empirical Validation

The \kappa - \mu / inverse gamma and \eta - \mu / inverse gamma composite fading models are presented and extensively investigated in this paper. We derive closed-form expressions for the fundamental statistics of the \kappa - \mu / inverse gamma composite fading model, such as the probability...

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Bibliographic Details
Published in:IEEE transactions on communications 2021-08, Vol.69 (8), p.5514-5530
Main Authors: Yoo, Seong Ki, Simmons, Nidhi, Cotton, Simon L., Sofotasios, Paschalis C., Matthaiou, Michail, Valkama, Mikko, Karagiannidis, George K.
Format: Article
Language:English
Subjects:
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Biological system modeling
Channel modeling
Closed-form solutions
composite fading channel
Computational modeling
Distribution functions
Empirical analysis
Exact solutions
Fading
Fading channels
Goodness of fit
Infinite series
inverse gamma distribution
Inverse problems
Line of sight
Mathematical models
Parameters
Probability density function
Probability density functions
Quadratures
resistor-average distance
Shadow mapping
Statistical analysis
Statistical distributions
Wave power
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Summary:The \kappa - \mu / inverse gamma and \eta - \mu / inverse gamma composite fading models are presented and extensively investigated in this paper. We derive closed-form expressions for the fundamental statistics of the \kappa - \mu / inverse gamma composite fading model, such as the probability density function (PDF), cumulative distribution function (CDF). Additionally, we solve the associated integral that is commonly used to obtain the moment generating function (MGF) of statistical distributions to provide an MGF-type function which is valid for performance analysis over the specified parameter space. Analytic expressions for the PDF, higher order moments and AF are also derived for the \eta - \mu / inverse gamma composite fading model, while infinite series expressions are obtained for the corresponding CDF and MGF-type function. The suitability of the new models for characterizing composite fading channels is demonstrated through a series of extensive field measurements for wearable, cellular, and vehicular communications. For all of the measurements, two propagation geometry problems with special relevance to the two new composite fading models, namely the line-of-sight (LOS) and non-LOS (NLOS) channel conditions, are considered. It is found that both the \kappa - \mu / inverse gamma and \eta - \mu / inverse gamma composite fading models provide an excellent fit to fading conditions encountered in the field. The goodness-of-fit of these two composite fading models is also evaluated and compared using the resistor-average distance. As a result, it is shown that the
ISSN:0090-6778
1558-0857
DOI:10.1109/TCOMM.2017.2780110