Application of matrix completion theory in radar imaging

The imaging process of synthetic aperture radar(SAR) requires large amounts of data sampling and storage that restricts the use of SAR in wide-swath,high-resolution and long time applications.The sampling and storage also consumes much energy.This paper presents an algorithm that reduces the data sampling and storage that combines matrix completion theory with SAR imaging techniques.The low rank of the radar imaging scene matrix is exploited by the algorithm.An SAR imaging scheme is given to recover part of the imaging patch with fewer random samples.The patch image is then recovered using matrix completion theory.Tests with real SAR data give acceptable results.