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A problem of subsurface structures detection has been studied. The study is oriented towards the processing of the ultra-wideband ground penetrating radar. Modifieations of damped exponential model have been applied for reducing clutter due to a rough boundary. Through the numerical simulations, a sensitivity analysis is performed to demonstrate the dependence of the received signal on the properties of inhomogeneous medium, rough surface and locations ofobjects. The calculations have been performed for randomly buried objects. It bas been found that it is possible to significantly improve the ratio between the scattered signal from subsurface layers or objects and the scattering from a rough boundary.