Statistical modeling of complex target radar cross-section with the beta probability density function
We analyze the use of the beta distribution for the statistical characterization of the radar cross-section (RCS) of a complex target. Analysis consists of first generalizing a complex target as a set of component scatterers, each with a constant component RCS and a phase characterized by a uniform random variable. From this set of target-based component scatterers, estimates of the moments of the implied probability distribution function (pdf) on the RCS response of the full target are gathered, and used to fit a beta distribution. Two distinct methods of fitting the beta distribution are compared against the results of Monte-Carlo analysis over a variety of component scatterer sets. This comparison leads to estimates of the accuracy of each method of generating moments for the fitting of the beta distribution, and further, leads to the characterization of pathological cases for the use of the beta distribution in modeling complex target RCS. Resulting methods for the modeling of the RCS of a complex target are discussed in the context of model-based SAR ATR applications.
Out of print 11/14/07.
This paper was published in SPIE Proceedings Vol. 3721
Algorithms for Synthetic Aperture Radar Imagery VI, Edmund G. Zelnio, Editors, pp.632-643