Canonical and Quasi-Canonical Probability Models of Class a Interference

Abstract

The earlier work of the author on Class A electromagnetic interference (EMI) (RF noise) models is further developed and extended to include "approximately canonical" and "quasi-canonical" cases, in addition to the earlier strictly canonical forms. Along with a general development of the first-order probability models of Class A noise here, which now include both scenario-implicit and scenario-explicit formulations, the following new and general results are obtained: 1) the demonstration that the Rayleigh pdf of received envelopes is the necessary and sufficient condition for the strictly canonical Class A model; 2) use of the EMI scenario in calculating the parameters of the model; 3) methods and conditions for determining approximately canonical cases; 4) specific exact characteristic functions (CF), pdf's, and APD's for some basic single-random-source scenarios; 5) general quasi-canonical forms and specific examples, showing acceptable agreement with corresponding results for closely related EMI scenarios determined by simulation; as well as 6) a general formulation of EMI first-order statistics for arbitrary (including small) numbers of potentially interfering sources. Another principal overill result is extended qualitative and quantitative insights into the Class A EMI model as a whole. Many special results are included, in addition.