English

Statistical characterization of kappa-mu shadowed fading

Information Theory 2024-10-30 v1 math.IT Applications

Abstract

This paper investigates a natural generalization of the kappa-mu fading channel in which the line-of-sight (LOS) component is subject to shadowing. This fading distribution has a clear physical interpretation, good analytical properties and unifies the one-side Gaussian, Rayleigh, Nakagami-m, Ricean, kappa-mu and Ricean shadowed fading distributions. The three basic statistical characterizations, i.e. probability density function (PDF), cumulative distribution function (CDF) and moment generating function (MGF), of the kappa-mu shadowed distribution are obtained in closed-form. Then, it is also shown that the sum and maximum distributions of independent but arbitrarily distributed kappa-mu shadowed variates can be expressed in closed-form. This set of new statistical results is finally applied to the performance analysis of several wireless communication systems.

Keywords

Cite

@article{arxiv.1304.7435,
  title  = {Statistical characterization of kappa-mu shadowed fading},
  author = {J. F. Paris},
  journal= {arXiv preprint arXiv:1304.7435},
  year   = {2024}
}

Comments

This work has been submitted to the IEEE for possible publication

R2 v1 2026-06-22T00:07:34.049Z