三维快速因式分解后向投影算法
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摘要
后向投影算法具有精确成像、易于补偿、适于多种阵列构型及信号形式等优点,广泛应用于雷达成像领域。针对三维成像中,巨大计算量带来的低运算效率问题,文中利用孔径分块的方式将二维快速因式分解后向投影(FFBP)扩展至三维成像应用,建立了适于三维FFBP成像的三维极坐标系,对三维FFBP中孔径划分问题、算法实现问题以及计算效率问题进行了分析。仿真结果验证了该算法,其成像效率可提高13.8倍。
Back projection algorithm is widely used in the radar imaging for its advantages of perfect focusing,motion compensation and high quality imaging for any data acquisition geometries. To reduce the computational burden of the 3D imaging,the 2D fast factorized back projection is extended to 3D FFBP based on the aperture factorizing principle in this paper. A new 3D polar coordinate system,which is suitable for 3D FFBP is established. The problems of the aperture factorizing,algorithm implementation and efficiency of 3D FFBP are comprehensive analyzed. The processing results of the synthetic data validate the 3D FFBP algorithm,resulting in a 13.8 times speedup in this simulation.
Back projection algorithm is widely used in the radar imaging for its advantages of perfect focusing,motion compensation and high quality imaging for any data acquisition geometries. To reduce the computational burden of the 3D imaging,the 2D fast factorized back projection is extended to 3D FFBP based on the aperture factorizing principle in this paper. A new 3D polar coordinate system,which is suitable for 3D FFBP is established. The problems of the aperture factorizing,algorithm implementation and efficiency of 3D FFBP are comprehensive analyzed. The processing results of the synthetic data validate the 3D FFBP algorithm,resulting in a 13.8 times speedup in this simulation.
引文
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[2]AHMED I.Study of the local backprojection algorithm for image formation in ultra wideband synthetic aperture radar[D].Sweden:Bleking Institute of Technology,2008.
[3]MCCORKLE J W,ROFHEART M.An order N2log2N backprojector algorithm for focusing wide-angle wide-bandwidth arbitrary-motion synthetic aperture radar[C]//SPIE Aero Sense Conference.Orlando,FL:SPIE Press,1996:25-36.
[4]YEGULALP A F.Fast backprojection algorithm for synthetic aperture radar[C]//1999 IEEE Radar Conference,The Record of the 1999 IEEE.Waltham,MA:IEEE Press,1999:60-65.
[5]ULANDER L M H,HELLSTEN H,STENSTROM G.Synthetic aperture radar processing using fast factorized backprojection[J].IEEE Transactions on Aerospace and Electronic Systems,2003,39(3):760-775.
[6]SJOGREN T K,VU V T,PETTERSSON M I.A comparative study of the polar version with the subimage version of fast factorized backprojection in UWB SAR[C]//International Radar Symposium.Wroclaw Poland:IEEE Press,2008:156-159.
[7]WANG J,SONG Q,ZHOU Z M.Preliminary results of VFGPVR 3D imaging of shallow buried targets[C]//3rd International Asia-Pacific Conference on Synthetic Aperture Rader.[S.l.]:IEEE Press,2011:1-4.
[8]MOLL J,SCHOPS P,KROZER V.Towards three-dimensional millimeter-wave radar with the bistatic fast-factorized back-projection algorithm-potential and limitations[J].IEEE Transactions on terahertz science and technology,2012,2(4):432-440.
[9]李杨寰,宋千,王鹏宇,等.多级多分辨快速后向投影成像算法[J].电子学报,2011,39(3):518-524.LI Yanghuan,SONG Qian,WANG Pengyu,et al.Multistage Multi-resolution fast back-projection imaging algorithm[J].Acta Electronica Sinica,2011,39(3):518-524.