Bivariate Statistical Approach for “Good-but-Imperfect” Electromagnetic Reverberation

Abstract

This paper presents novel theoretical probability density functions (PDFs) for the magnitude and phase of electromagnetic fields inside reverberation chambers (RC) operating in a “good-but-imperfect” regime. The derivation is based on considering two Gaussian random variables with mean values, variances, and correlation that are departed from the ideal assumptions. A bivariate approach using a complete joint Gaussian distribution of these variables is defined. Marginal distributions obtained by integration of a 2-D joint PDF are compared with theoretical PDFs for ideal situations, and significantly lower rejection rates are experienced for field data measured in real RCs. Additionally, these novel marginal PDFs are highly general since they are able to describe both ideal and nonideal stirred fields and reproduce other findings.