Title :
Homodyned-K fluctuation model
Author :
Drumheller, David M. ; Lew, Henry
Author_Institution :
Acoust. Div., Naval Res. Lab., Washington, DC, USA
fDate :
4/1/2002 12:00:00 AM
Abstract :
The statistics of the matched filter output are examined for the case of a nonfluctuating target in K-type clutter. The resulting "homodyned-K" backscatter model is a generalization of the classic Rayleigh-Rice model and has applications in radar, sonar, optics, and ultrasonic medical imaging. This paper presents exact and asymptotic equations for the probability density function, survival function, moments, and parameter estimation. The exact equations are expressed as infinite series. Also provided are proof of the series\´ convergence and guidance for their numerical computation. Examples illustrating the model\´s application to radar and sonar are presented using electromagnetic and acoustic backscatter data.
Keywords :
Bessel functions; backscatter; binomial distribution; convergence; convolution; filtering theory; gamma distribution; matched filters; method of moments; parameter estimation; radar clutter; radar imaging; sonar imaging; Bessel functions; acoustic backscatter; asymptotic forms; clutter; convolution; echolocation; electromagnetic backscatter; envelope autocorrelation function; exact asymptotic equations; generalised Rayleigh-Rice model; homodyned-K backscatter model; homodyned-K fluctuation model; infinite series; matched filter output statistics; moments; nonfluctuating target; parameter estimation; probability density function; radar; receiver operating characteristic curves; series convergence; signal model; sonar; survival function; truncated binomial series; ultrasonic medical imaging; Backscatter; Biomedical optical imaging; Clutter; Equations; Fluctuations; Matched filters; Radar applications; Radar imaging; Sonar applications; Statistics;
Journal_Title :
Aerospace and Electronic Systems, IEEE Transactions on
DOI :
10.1109/TAES.2002.1008984