Applications of the solution to the Rayleigh problem

Author

Gray, John E.

Author_Institution

Dept. of Combat Syst., Naval Surface Warfare Center, Dahlgren, VA, USA

fYear

2000

fDate

2000

Firstpage

527

Lastpage

532

Abstract

A formalism to determine the probability density function (PDF) resulting from a coordinate transformation applied to an arbitrary PDF is developed. The results are applied to the coordinate transformation used in target tracking, specifically the transformation from spherical to Cartesian coordinates. This result is then applied to the specific example of a Gaussian random variable transformed by sine and cosine coordinate transformations. A brief discussion is then carried out of multi-dimensional transformations

Keywords

Gaussian processes; Rayleigh scattering; electromagnetic wave scattering; probability; radar theory; radar tracking; target tracking; Cartesian coordinates; Gaussian random variable; PDF; Rayleigh scattering; cosine coordinate transformation; multi-dimensional transformations; probability density function; radar scattering; sine coordinate transformation; spherical coordinates; target tracking; Acoustic scattering; Density functional theory; Probability density function; Radar scattering; Radar tracking; Random processes; Random variables; Rayleigh scattering; Surface acoustic waves; Target tracking;

fLanguage

English

Publisher

ieee

Conference_Titel

Radar Conference, 2000. The Record of the IEEE 2000 International

Conference_Location

Alexandria, VA

Print_ISBN

0-7803-5776-0

Type

conf

DOI

10.1109/RADAR.2000.851889

Filename

851889