Expansions for the multivariate chi-square distribution
Journal of Multivariate Analysis
A trivariate chi-squared distribution derived from the complex Wishart distribution
Journal of Multivariate Analysis
An efficient approach to multivariate Nakagami-m distribution using Green's matrix approximation
IEEE Transactions on Wireless Communications
On multivariate Rayleigh and exponential distributions
IEEE Transactions on Information Theory
Segmentation of polarimetric synthetic aperture radar data
IEEE Transactions on Image Processing
Bivariate Gamma Distributions for Image Registration and Change Detection
IEEE Transactions on Image Processing
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This paper derives the joint density of a particular trivariate non-central @g^2 distribution corresponding to the diagonal elements of a 3x3 complex non-central Wishart matrix. This distribution is important for a number of practical statistical signal processing applications, including synthetic aperture radar, extra-solar planet detection, and multi-antenna wireless communications. The density expression is in the form of an infinite series representation which converges rapidly and is easy to compute. The joint density of the diagonal elements of a 2x2 complex non-central Wishart matrix is also derived by simple reduction of the trivariate result.