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: In this article, the exact distributions of R = X +Y and W = X/(X +Y ) and corresponding moment properties are derived when X and Y follow five flexible bivariate gamma distributions.
Abstract: Exact distributions of R = X +Y and W = X/(X +Y ) and the corresponding moment properties are derived when X and Y follow five flexible bivariate gamma distributions. The expressions turn out to involve several special functions.
10 citations
TL;DR: An efficient method is presented to determine the Fourier-Laplace transform of the joint n-point probability distribution of a continuous-time random walk for arbitrary finite n and a recursive procedure is devised with which it is possible to calculate the Laplace transforms of the multipoint correlation functions without having to determined the joint probability distributions first.
Abstract: We present an efficient method to determine the Fourier-Laplace transform of the joint n-point probability distribution of a continuous-time random walk for arbitrary finite n. Additionally, we devise a recursive procedure with which it is possible to calculate the Laplace transforms of the multipoint correlation functions without having to determine the joint probability distributions first. The methods are used on several examples with both independent and dependent distributions for the waiting time and the spatial step size.
10 citations
TL;DR: In this article, generalized forms of amplitude and intensity K-distributions are proposed to model multilook synthetic aperture radar (SAR) data, based upon a product model in which the amplitude and the intensity distributions of the SAR backscatter component are assumed to be Laguerre orthogonal expansions of the traditional clutter distribution.
Abstract: In this paper, generalized forms of amplitude and intensity K-distributions are proposed to model multilook synthetic aperture radar (SAR) data. The approach is based upon a product model in which the amplitude and intensity distributions of the SAR backscatter component are assumed to be Laguerre orthogonal expansions of the traditional clutter distribution. The SAR intensity and amplitude probability density functions (pdfs) are derived and turn out to be the weighted combination of a series of K-distributions. Several theoretical and implementation issues regarding the proposed generalization are discussed. Comparative experimental results using real SAR data indicates that these generalized forms of K may allow better estimation of the SAR pdf than that of the traditional K distribution.
10 citations
TL;DR: In this paper, the existence and properties of stationary probability distributions for the output vector of linear time-invariant systems perturbed by white noise are examined, and it is shown that a necessary and sufficient condition is a necessary condition.
Abstract: Existence and properties of stationary probability distributions for the output vector of linear time-invariant systems perturbed by white noise are examined. It is shown that a necessary and suffi...
10 citations