一种联合Khatri-Rao子空间与块稀疏压缩感知的差分SAR层析成像方法  

Differential SAR Tomography Imaging Based on Khatri-Rao Subspace and Block Compressive Sensing

作　　者：王爱春[1,2,3] 向茂生[1] 汪丙南[1] 

机构地区：[1]中国科学院电子学研究所微波成像技术国家级重点实验室,北京100190 [2]中国科学院大学,北京100049 [3]中国资源卫星应用中心,北京100094

出　　处：《电子与信息学报》2017年第1期95-102,共8页Journal of Electronics & Information Technology

基　　金：国家发改委卫星及应用产业发展专项项目(发改委高技[2012]2083号)~~

摘　　要：虽然采用压缩感知技术(Compressive Sensing,CS)的差分SAR层析成像方法实现了4维空间信息的重构,但是此方法仅利用了目标的稀疏特性并没有考虑目标的结构特性,因此对同时具有稀疏特性和结构特性的目标进行重构时其性能较差。针对这一问题,该文采用联合Khatri-Rao子空间和块压缩感知(Khatri-Rao Subspace and Block Compressive Sensing,KRS-BCS),提出一种差分SAR层析成像方法。该方法依据目标的结构特性和重构观测矩阵具有的Khatri-Rao积性质,将稀疏结构目标的差分SAR层析成像问题转化为Khatri-Rao子空间下的BCS问题,最后对目标进行块稀疏的l_1/l_2范数最优化求解。相比CS差分SAR层析成像方法,该方法不仅保持了CS差分SAR层析成像方法的高分辨率特点,而且其重构精度更高性能更优。仿真数据和ENVISAT星载ASAR数据以及地面GPS实测数据的试验结果验证了该方法的有效性。While the use of differential SAR tomography based on Compressive Sensing （CS） makes it possible to reconstruct the four-dimensional information of an observed scene, the performance of the reconstruction decreases for a sparse and structural observed scene due to ignoring the structural characteristics of the observed scene. To deal with this issue, a method using differential SAR tomography based on Khatri-Rao Subspace and Block Compressive Sensing （KRS-BCS） is proposed. Using the structure information of the observed scene and Khatri-Rao product property of the reconstructed observation matrix, the proposed method changes the reconstruction of the sparse and structural observed scene into a BCS problem under Khatri-Rao Subspace, and then the KRS-BCS problem is efficiently solved with a block sparse l1/l2 norm optimization signal model. Compared with existing CS methods, the proposed KRS-BCS method not only maintains the high resolution characteristics of CS methods, but also has higher reconstruction accuracy and better performance. Simulations, ENVISAT-ASAR data and ground-based GPS data verify the effectiveness of the proposed method.

关 键 词：差分SAR层析成像技术 Khatri-Rao子空间 块压缩感知 

分 类 号：TN957.52[电子电信—信号与信息处理]