Application of extreme value distribution to model propagation fading in indoor mobile radio environments

In indoor mobile radio environments, the signal strength received in a mobile terminal vary due to amplitude fading that can be modelled by several distributions, such as Lognormal, Rayleigh, Rice, Nakagami, Suzuki or Weibull. Unfortunately, the application of these models does not allow to obtain analytical expressions that relate a signal strength value with mean value and typical deviation of the signal strength and the probability of signal strength to exceed the fixed value. In this paper, Extreme Value distribution is proposed to model fading in indoor propagation environments, in order to achieve closed analytical expressions to characterize probability distribution function and cumulative distribution function of signal strength and, by means of this, to relate by analytical expressions the signal threshold and the probability of signal strength to be above that threshold.