Maximum likelihood estimator for the α-η-μ fading environment

Abstract

In this paper, an estimator of the α-η-μ distribution is proposed based on the maximum likelihood (ML) estimation method, and verified with samples generated by three different random number generators: i) by the definition, ii) by the rejection method and iii) by the Smith Spectrum method. This distribution has been recently proposed to model the received field strength in a non-linear and non-line-of-sight scenario. Hence, efficient estimators are required to infer the parameters of the received signal amplitude distribution in propagation mediums modeled by it. The ML estimator for the α-η-μ distribution is derived and verified against chosen true values of the parameters by means of a simulation