Ellipse Combining with Unknown Cross Ellipse Correlations

Abstract: We discuss the combining of measurements where single measurement covariances are given but the joint measurement covariance is unknown. For this paper we assume the mapping of a single measurement to the solution space is the identity matrix. We examine the solution when it is assumed all measurements are uncorrelated. We then present a way to parameter joint measurement covariance based on pairwise correlation coefficients. Finally, we discuss how to use this parameterization to combine the measurements.