A novel correlation method of microwave staring correlated imaging based on multigrid and LSQR

Abstract

Based on the temporal-spatial stochastic radiation field, microwave staring correlated imaging (MSCI) can achieve high resolution reconstruction of the target. When MCSI is applied in remote sensing, the imaging area will be very large. With the increasing of imaging equation scale, the ill-conditioned problem will seriously influence the resolution of imaging. This paper focuses on the algorithm to realize high-resolution MSCI in condition of large imaging area. Inspired by multigrid (MG) method, we use multigrid (MG) method to decrease the low-frequency error and highfrequency error of the solution by dealing with the imaging equation in different scales. Furthermore, we apply Least Square QR-factorization (LSQR) algorithm to solve the large scale ill-conditioned equation. We name the new algorithm as MG-LSQR. Simulation results show that the proposed algorithm could increase the resolution efficiently in condition of large imaging area.