Compressed sensing SAR imaging based on sparse representation in fractional Fourier domain  

作　　者：BU HongXia BAI Xia TAO Ran 

机构地区：[1]Department of Electronic Engineering,Beijing Institute of Technology,Beijing 100081,China [2]College of Physics Science and Information Engineering,Hebei Normal University,Shijiazhuang 050016,China

出　　处：《Science China(Information Sciences)》2012年第8期1789-1800,共12页中国科学（信息科学）（英文版）

基　　金：supported by the National Key Basic Research Program founded by MOST(Grant Nos.2010CB73-1902,2009CB724003);Natural Science Foundation of China(Grant Nos.60890070,61001199);the Research Fund for the Doctoral Program of Higher Education of China(Grant No.20091101120027);Changjiang Scholars and Innovative Research Team in University(Grant No.IRT1005)

摘　　要：Compressed sensing （CS） is a new technique of utilizing a priori knowledge on sparsity of data in a certain domain for minimizing necessary number of measurements. Based on this idea, this paper proposes a novel synthetic aperture radar （SAR） imaging approach by exploiting sparseness of echo data in the fractional Fourier domain. The effectiveness and robustness of the approach are assessed by some numerical experiments under various noisy conditions and different measurement matrices. Experimental results have shown that, the obtained images by using the CS technique depend on measurement matrix and have higher output signal to noise ratio than traditional pulse compression technique. Finally simulated and real data are also processed and the achieved results show that the proposed approach is capable of reconstructing the image of targets and effectively suppressing noise.Compressed sensing （CS） is a new technique of utilizing a priori knowledge on sparsity of data in a certain domain for minimizing necessary number of measurements. Based on this idea, this paper proposes a novel synthetic aperture radar （SAR） imaging approach by exploiting sparseness of echo data in the fractional Fourier domain. The effectiveness and robustness of the approach are assessed by some numerical experiments under various noisy conditions and different measurement matrices. Experimental results have shown that, the obtained images by using the CS technique depend on measurement matrix and have higher output signal to noise ratio than traditional pulse compression technique. Finally simulated and real data are also processed and the achieved results show that the proposed approach is capable of reconstructing the image of targets and effectively suppressing noise.

关 键 词：compressed sensing （CS） synthetic aperture radar （SAR） fractional Fourier transform （FRFT） measurement matrix 

分 类 号：TN957.52[电子电信—信号与信息处理] TN958[电子电信—信息与通信工程]