We consider the statistics of light amplitude fluctuations for the propagation of a laser beam subjected to multiple filamentation in an amplified Kerr media, with both linear and nonlinear dissipation. Dissipation arrests the catastrophic collapse of filaments, causing their disintegration into almost linear waves. These waves form a nearly Gaussian random field that seeds new filaments. For s...

A well–known receiver strategy for CDMA transmission is iterative soft decision interference cancellation. For calculation of soft estimates, the distribution of residual interference is commonly assumed to be Gaussian. In this paper, we analyze matched–filter based iterative soft decision interference cancellation (MF ISDIC) when utilizing the actual probability density function (pdf) of resid...

Orbit determination in application to the estimation of impact probability has the goal of determining the evolution of the state probability density function (pdf) and determining a measure of the probability of collision. Nonlinear gravitational interaction and non-conservative forces can make the pdf far from Gaussian. This work implements three nonlinear sequential estimators: the Extended ...

C. Liu, R. Bammer, M. E. Moseley Radiology, Stanford University, Stanford, CA, United States, Electrical Engineering, Stanford University, Stanford, CA, United States INTRODUCTION Recently a generalized diffusion tensor imaging (GDTI) method was introduced to characterize non-Gaussian diffusion (1,2). It has been shown that nonGaussian properties of a diffusion process can be characterized by a...

A well-known receiver strategy for direct-sequence code-division multiple-access (DS-CDMA) transmission is iterative soft decision interference cancellation. For calculation of soft estimates used for cancellation, the distribution of residual interference is commonly assumed to be Gaussian. In this paper, we analyze matched filter-based iterative soft decision interference cancellation (MF ISD...

In this paper, a new analytical approximated expression for the sharpness parameter of a Generalised Gaussian pdf model as a function of a higher-order statistic, namely normalised kurtosis is proposed. The approximation is based on some mathematical considerations concerning the Gamma function, and provides a very precise sharpness evaluation for a wide range of normalised kurtosis values. As ...

in this paper a new algorithm is presented for coherent radar detection of targets, when distribution of the interference (clutter and noise) is non-gaussian. the neyman-pearson criterion is used for optimal detection and several successive received samples from a radar range cell are used for detection in the same cell. on the basis of recent empirical evidences, the interference distribution ...

To achieve optimal PET image reconstruction through better system modeling, we developed a system matrix that is based on the probability density function for each line of response (LOR-PDF). The LOR-PDFs are grouped by LOR-to-detector incident angles to form a highly compact system matrix. The system matrix was implemented in the MOLAR list mode reconstruction algorithm for a small animal PET ...

The article derives a novel Gram-Charlier A (GCA) Series based Extended Rule-of-Thumb (ExROT) for bandwidth selection in Kernel Density Estimation (KDE). There are existing various bandwidth selection rules achieving minimization of the Asymptotic Mean Integrated Square Error (AMISE) between the estimated probability density function (PDF) and the actual PDF. The rules differ in a way to estima...