A statistical inversion algorithm for aperture synthesis radiometers

In order to deal with the inverse problem in aperture synthesis radiometers (ASRs) imaging, some deterministic inversion algorithms are proposed. However, these inversion algorithms are deficient in utilizing the statistical properties of visibility samples and reconstructed image. In this paper, the probability density functions of visibility samples and pixels of reconstructed image are investigated. A statistical inversion algorithm is presented, in which the statistical properties are introduced to constrain solution of the inverse problem. Simulation and experiment results show the statistical inversion algorithm can greatly improve the image quality of ASRs.