Sampling point selections scheme of the MBPE for calculating the monostatic RCS by the objects on a rough surface

The model based parameter estimation(MBPE) method could be used to interpolate the monostatic RCS from the objects above a rough surface. Due to the multi-interactions between the objects and the rough surface, the curve of the monostatic RCS of the combined objects fluctuates significantly. Thus, how to make a proper choice as sample points is a key technique for MBPE approach. In this paper, the sampling point selections schemes for MBPE interpolation in spatial domain and in frequency domain are proposed. The strategy applied here is similar to that of fast multipole method(FMM). Through a lot of numerical experiments, in spatial domain, an experimental formula is deduced for all the incident angles; in frequency domain, the coefficients of the formula are functions of the incident directions. By using the proposed sampling schemes, the equispaced sampling approach could be performed with minimum number of the sample points. Numerical experiments have proved the validity of these proposed strategies.