Adaptive <italic>L&#x200A;^p</italic> Reconstruction Method for Synthetic Aperture Interferometric Radiometer

Abstract

The brightness temperature reconstruction of synthetic aperture interferometric radiometers (SAIRs) is an underdetermined and ill-posed inverse problem. The classical Hilbert-space regularization methods have often the disadvantages of the oversmoothness effects and the oscillations. In this article, an adaptive Lp reconstruction method in Lebesgue spaces is introduced to obtain the accurate brightness temperature map in SAIRs. The proposed approach can adaptively adjust the exponent p between 1.2 and 2 according to the region of the map to be reconstructed. The experimental results show that the Lp reconstruction method can effectively reduce oversmoothness and Gibbs oscillations, and better improve the accuracy of the inverse results, compared to the traditional minimum-norm and band-limited regularization methods.

Keywords

• Interferometric radiometer
• inverse problem
• reconstruction method
• synthetic aperture