Title :
A non-Gaussian problem that arises in fused detection in clutter
Author :
Sun, Yan ; Willett, Peter ; Swaszek, Peter F.
Author_Institution :
Electr. & Comput. Eng. Dept., Univ. of Connecticut, Storrs, CT, USA
Abstract :
A common model for sonar clutter is that of the transmitted signal convolved with a colored Gaussian process relating to the sea-bottom profile. Rather surprisingly, this noise becomes strongly non-Gaussian if there are multiple realizations and if a realistic random phase is introduced - the univariate statistics remain Gaussian, but the joint probability density function is not. In this letter, we explore this behavior and we develop optimal detection statistics for a "two-look" situation. It turns out that the gains over a naive assumption of Gaussianity can be substantial.
Keywords :
Gaussian distribution; Gaussian noise; clutter; matched filters; sensor fusion; sonar detection; Gaussian distribution; Gaussian noise; colored Gaussian process; convolved transmitted signal; fused detection; joint probability density function; matched filter; nonGaussian noise; nonGaussian problem; optimal detection statistics; realistic random phase; sea-bottom profile; sonar clutter; sonar signal detection; substantial Gaussianity; two-look situation; univariate statistics; Clutter; Gaussian noise; Gaussian processes; Matched filters; Noise cancellation; Radar detection; Signal processing; Sonar detection; Statistics; Sun;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2003.819867
