Distribution of the sum of clutter and thermal noise

Author

Helstrom, Carl W.

Author_Institution

Dept. of Electr. & Comput. Eng., California Univ., San Diego, La Jolla, CA, USA

Volume

36

Issue

2

fYear

2000

fDate

4/1/2000 12:00:00 AM

Firstpage

709

Lastpage

713

Abstract

The results of an approximate method for calculating the probability density function of the amplitude of the sum of Weibull-distributed radar clutter and thermal noise are compared with the exact distributions and found to be inaccurate except in one special case. It is shown how the assumption that the in-phase (I) and quadrature (Q) components of clutter have a joint circular-symmetric density function can be used to compute the density functions of the I- and Q-components themselves from the hypothesized distribution of the amplitude

Keywords

Weibull distribution; radar clutter; radar detection; thermal noise; Gaussian random variables; Rayleigh distribution; Weibull-distributed radar clutter; additive noise; amplitude probability density function; approximate method; clutter-noise sum; in-phase components; joint circular-symmetric density function; quadrature components; thermal noise; Additive noise; Density functional theory; Distributed computing; Narrowband; Noise level; Probability density function; Radar clutter; Radar scattering; Random processes; Rayleigh scattering;

fLanguage

English

Journal_Title

Aerospace and Electronic Systems, IEEE Transactions on

Publisher

ieee

ISSN

0018-9251

Type

jour

DOI

10.1109/7.845265

Filename

845265