Fast computation of monostatic radar cross section using compressive sensing and ACA-accelerated block LU factorization method

Compressive sensing (CS) technique in conjunction with adaptive cross approximation (ACA) algorithm is applied to calculate the monostatic radar cross section with many required sampling angles based on block LU factorization method. CS technique is used to construct a new excitation matrix and reduce the number of right-hand side. ACA algorithm is applied to all steps of the solution including impedance matrix filling, block LU solve, and excitation matrix compression to accelerate the computation process and reduce the memory consumption. Finally, the real-induced currents can be recovered by the orthogonal matching pursuit algorithm or compressive sampling matching pursuit algorithm, which have relatively low computational complexity than computation by the traditional method of moments (MoM). Numerical results are presented to validate the efficiency and accuracy of this method through comparison with the traditional MoM and other rigorous solutions.