光学学报, 2014, 34 (1): 0128001, 网络出版: 2014-01-02   

合成孔径激光成像雷达的二维傅里叶变换成像算法

2D Fourier-Transform Imaging Algorithm for Synthetic Aperture Imaging Ladars
作者单位
中国科学院上海光学精密机械研究所空间激光通信和检验技术重点实验室,上海 201800
摘要
提出了合成孔径激光成像雷达(SAIL)的二维傅里叶变换成像算法,即对回波信号进行顺轨向相位二次项共轭补偿后直接实施二维傅里叶变换。归纳了啁啾光源侧视SAIL,平移二次项波面直视SAIL和偏转平面波面直视SAIL的数据收集方程,采用连续变量和函数说明了算法的成像过程,并分析了矩形和圆形天线孔径下的成像分辨率,最后给出了离散傅里叶变换的表达形式。算法中交轨向和顺轨向的时间域数据均直接变换到频率域成像,给出了圆形孔径天线SAIL的随交轨向变化的顺轨向成像分辨率的解析解。
Abstract
A 2D Fourier transform imaging algorithm for synthetic aperture imaging ladar (SAIL) is proposed. The collected data are first compensated with a conjugated quadratic phase and then imaged by 2D Fourier transform. Unified data collection equations for side-looking SAILs with chirped laser, down-looking SAILs with shifting of quadratic wavefronts and with deflection of plane wavefronts are formulated. Functions and relative imaging resolutions of the algorithm for these SAILs with rectangular and circular apertures are described and analyzed in terms of continuous variables and functions. Then, the expression of the 2D discrete Fourier transform is given. The feature of the algorithm is that the collected data in the time domain are transformed into the frequency domain both in the travel direction and in its orthogonal direction to be directly imaged. The mathematical formulation of the travel-direction imaging resolution varying along the orthogonal direction is deduced.

刘立人. 合成孔径激光成像雷达的二维傅里叶变换成像算法[J]. 光学学报, 2014, 34(1): 0128001. Liu Liren. 2D Fourier-Transform Imaging Algorithm for Synthetic Aperture Imaging Ladars[J]. Acta Optica Sinica, 2014, 34(1): 0128001.

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