A High-resolution Image Reconstruction Technology Based on G-matrix and Fourier Transform

Since solving the inversion equation of synthetic aperture image reconstruction is an ill-posed mathematical problem, in order to meet the needs of high-precision reconstruction of scene brightness temperature images during ground detection, the mechanism analysis and algorithm research of high-resolution brightness temperature reconstruction is carried out. In this paper, various resolution-enhanced inversion algorithms such as statistical inversion are analyzed, and the synthetic aperture response is classified. The direct-current (DC) component of the synthetic aperture response is processed by regularized G matrix inversion, and the alternating (AC) component of the synthetic aperture is processed by Fourier inversion, which reduces the bandwidth of the point spread function, solves the problem of sensitivity deterioration when the resolution is increased, and improves the image quality and result correlation, enabling high-resolution image reconstruction. The overall research is verified by numerical calculation of the standard mean error and root mean square error of synthetic aperture inversion brightness temperature image.