The analysis of 6-component measurements of a random electromagnetic wave field in a magnetoplasma. Part. 2 : Model identification

Abstract

A method is proposed for the analysis of measurements of the six components of a random electromagnetic wave fields. This field, observed at a fixed point in a magnetoplasma, is assumed to be a Gaussian stationary and ergodic wide-band process. It is described statistically by the distribution of wave energy density with respect to the variables frequency and wave-normal direction. A parametric model of the wave distribution function is assumed. Using the principle of maximum likelihood, a method is developed for estimating the unknown parameters from data consisting of continuous measurements of the six field components over a finite time interval. The accuracy of the estimated parameters is evaluated. Finally, methods are proposed for testing the validity of the model, and for comparing the relative merits of different possible models when more than one exist