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Dependence of speckle statistics on backscatter cross-section fluctuations in SAR images of stationary homogeneous random rough surfaces

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Abstract

A theory is described to relate the statistical properties of the fields backscattered from rough surfaces to those of speckle in synthetic aperture radar (SAR) images. The expressions are derived for the autocorrelation functions of speckle intensity in both single-look and multilook images of stationary random rough surfaces in terms of the SAR system parameters and the autocorrelation function of backscatter radar cross-section fluctuations. It is shown that if the correlation scale of cross-section fluctuations is comparable with or greater than the SAR resolution, the correlation functions of speckle intensity depend on those of the cross-section fluctuations. This property may, therefore, be applied to image classification. Comparison of the theory to computer simulation shows good agreement.

© 1987 Optical Society of America

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