摘要
Aiming at fast analysis of wide angle electromagnetic scattering problems, compressed sensing theory is introduced and applied, and a new kind of sparse representation of induced currents is constructed based on prior knowledge that originates from excitation vectors in method of moments. Using the new kind of sparse representation in conjugation with compressed sensing, one can recover unknown currents accurately with fewer measurements than some conventional sparse representations in mathematical sense. Hence, times of calculation by traditional method of moments used to obtain the required measurements can be reduced, which will improve the computational efficiency.
Aiming at fast analysis of wide angle electromagnetic scattering problems, compressed sensing theory is introduced and applied, and a new kind of sparse representation of induced currents is constructed based on prior knowledge that originates from excitation vectors in method of moments. Using the new kind of sparse representation in conjugation with compressed sensing, one can recover unknown currents accurately with fewer measurements than some conventional sparse representations in mathematical sense. Hence, times of calculation by traditional method of moments used to obtain the required measurements can be reduced, which will improve the computational efficiency.
基金
Supported by the Key Project of Provincial Natural Science Research of University of Anhui Province of China under Grant No KJ2014A206, Anhui-Provincial Natural Science Foundation of China under Grant No 1408085QF104, the Key Project of the Ministry of Education of China under Grant No 212081, and the National Natural Science Foundation of China under Grant Nos 51477039 and 61301062.
