Topic
K-distribution
About: K-distribution is a research topic. Over the lifetime, 1281 publications have been published within this topic receiving 51774 citations.
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TL;DR: A potential function is shown to link probability density functions to their transformation, and to generalize the cumulative, and examples are shown in two dimensions.
Abstract: A theoretical framework is developed to describe the transformation that distributes probability density functions uniformly over space. In one dimension, the cumulative distribution can be used, but does not generalize to higher dimensions, or non-separable distributions. A potential function is shown to link probability density functions to their transformation, and to generalize the cumulative. A numerical method is developed to compute the potential, and examples are shown in two dimensions.
1 citations
TL;DR: The logit-stable distributions are distributions on the unit interval as discussed by the authors, which have unconventional shapes, are alternatives to beta distributions for random proportions, arise from an axiomatic derivation based upon latent utility scales, have closed-form probabilities, and greater tail-weight than beta distributions.
1 citations
02 Jul 2018
TL;DR: This paper demonstrates that the new proposed detector is CFAR and robust under the assumption of the compound Generalized Pareto (GP), the K distribution and the compound inverse Gaussian distribution.
Abstract: The Concept of constant false alarm rate CFAR detection is usually a requirement for any modern radar system. This paper proposes a generalization of a robust CFAR detector to account for the presence of thermal noise and interfering targets. We show via simulation results that the proposed detector keeps the CFAR property for a class of compound Gaussian clutter, namely: the K distribution, the Generalized Pareto distribution and the Compound Inverse Gaussian distribution. The results obtained show that the probability of false alarm is almost independent of the clutter parameter for all the cases studied.
1 citations
25 Jul 2016
TL;DR: In this article, the complex amplitude in the focal plane of an adaptive optics system is modelled as an elliptical complex random variable, and the geometrical properties of the probability density function (pdf) of it relate directly to the statistics of the residual phase.
Abstract: The complex amplitude in the focal plane of adaptive optics system is modelled as an elliptical complex random variable. The geometrical properties of the probability density function (pdf) of it relate directly to the statistics of the residual phase. Building solely on the 2D geometry, the expression for the pdf of speckle intensity is derived.
1 citations
1 citations