Multi-Dimensional Generalization in Space and Time Domains for Middleton's Study in Stochastic Evaluation of Correlative Many Em Noise Processes - Abstract

Abstract

in this paper, a statistical study on correlative many electromagnetic (abbr., EM) interferences is given mainly from a theoretical viewpoint on the basis of random walk problem in multi-dimensional signal space, along to the same study line as in our previous paper. First, a joint multi-variate characteristic function of Hankel transform type matched to many kinds of EM environmental fluctuation waves is introduced especially in an extended form (in space and time domains) of D. Middleton's basic result. Then, a joint multivariate probability density function (abbr., pdf) is explicitly derived for correlative many kinds of EM random fluctuations with a power scaled variable (or an effective value) observed by many receivers of mean square operation type, especially by laying emphasis upon a derivation of explicit pdf expression for correlative two kinds of EM fluctuation waves. The effectiveness of the proposed method is experimentally confirmed through an acoustic type simulation experiment with joint space-time non-Poisson interference as one of the same wave motion type environment as EM environment and an application to the actual EM environment.