Abstract
This paper introduces an enriched α − μ distribution which may act as fading model with its origins via the scale mixture construction. The distribution’s characteristics are visited and its feasibility as a fading candidate in wireless communications systems is investigated. The analysis of the system reliability and some performance measures of wireless communications systems over this enriched α − μ fading candidate are illustrated. Computable representations of the Laplace transform for this scale mixture construction are also provided. The derived expressions are explored via numerical investigations. Tractable results are computed in terms of the Meijer G-function. This unified scale mixture approach allows access to previously unconsidered underlying models that may yield improved fits to experimental data in practice.
Highlights
In the field of communication systems, fading channels are characterized with statistical distributions to describe the signal degradation from the transmitter to receiver of wireless signals
Fading is modelled in nonlinear environments where there exists a spatial correlation between the surfaces which causes the diffusion and scattering and introduces the α − μ model with the normal assumption for the underlying process behaviour. e α − μ model is statistically complex in its explanation of fading while being diverse and contains certain well-known statistical distributions which are of interest within the statistics and wireless communications paradigm. is fading candidate has been found valuable in the modelling of on-body communications networks as well as vehicle communication
A more pliable approach is to model these data by taking into account a stochastic element which is embedded in the variance component of the underlying model; this leads to the consideration of scale mixtures of normal (SMN) distribution alternatives
Summary
In the field of communication systems, fading channels are characterized with statistical distributions to describe the signal degradation from the transmitter to receiver of wireless signals.
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