The Log-µ Process

Godfred K Tenkorang, Michel Daoud Yacoub

DOI: 10.14209/sbrt.2025.1571151588

Evento: XLIII Simpósio Brasileiro de Telecomunicações e Processamento de Sinais (SBrT2025)

Keywords: Channel's Nonlinearity Fading Model Pure- Selection Combining Diversity

Abstract

This paper builds upon the idea of a medium nonlinearity to introduce a general application three-parameter statistical model - the Log-µ model, that presents simple analytical formulations. Its probability density function (PDF) and cumulative distribution function (CDF) appear in closed forms with support in R but limited in the left. Interestingly, for some particular combination of the parameters, a bimodality shows. Knowing that a physical model is behind the proposal and recognizing its potential for wireless communications applications, we specialize it so that its support now is R+. In addition, the paper demonstrates an application of the Log-µ fading model by analyzing the performance of the pure-selection combining diversity technique.

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