α-Q fading model: Statistical analisis of the first order

Abstract

In this paper starting from the well known Nakagami-q fading model we are proposing its improvement by introducing an additional flexibility, in the form of a parameter, which is power of the modulus of complex Gaussian process, in order to provide better matching between theoretical results and experimental values measured in a real environment. Within this paper, we will also present the first order statistical analysis of the proposed α-q model. In this paper, a statistical analysis of the first order of the new α-q model that includes derived analytical expressions for: probability density function, cumulative distribution function, moment n-th order are presented, variance and moment genereting function of one α-q process. Results for the probability density function and cumulative distribution function α-q process are graphically presented.

Keywords

• α-q fading
• probability density function
• cumulative distribution function
• moment n-thorder
• variance
• moment genereting function