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07 February 2025
 
  » arxiv » 1609.0317

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The {kappa}-{mu} Shadowed Fading Model with Integer Fading Parameters
F. Javier Lopez-Martinez ; Jose F. Paris ; Juan M. Romero-Jerez ;
Date 1 Sep 2016
AbstractWe show that the popular and general {kappa}-{mu} shad- owed fading model with integer fading parameters {mu} and m can be represented as a mixture of squared Nakagami (or Gamma) distributions. Thus, its PDF and CDF can be expressed in closed-form in terms of a finite number of elementary functions (powers and exponentials). The main implications arising from such connection are then discussed, which can be summarized as: (1) the performance evaluation of communication systems operating in {kappa}-{mu} shadowed fading becomes as simple as if a Nakagami fading channel was assumed; (2) the {kappa}-{mu} shadowed distribution can be used to approximate the {kappa}-{mu} distribution us- ing a closed-form representation in terms of elementary functions, by choosing a sufficiently large value of m; and (3) restricting the parameters {mu} and m to take integer values has limited impact in practice when fitting the {kappa}-{mu} shadowed fading model to field measurements. As an application example, the average channel capacity of communication systems operating under {kappa}-{mu} shadowed fading is obtained in closed-form.
Source arXiv, 1609.0317
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