Title :
Applications of the solution to the Rayleigh problem
Author_Institution :
Dept. of Combat Syst., Naval Surface Warfare Center, Dahlgren, VA, USA
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;
Conference_Titel :
Radar Conference, 2000. The Record of the IEEE 2000 International
Conference_Location :
Alexandria, VA
Print_ISBN :
0-7803-5776-0
DOI :
10.1109/RADAR.2000.851889
