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A fast algorithm for signature prediction and image formation using the shooting and bouncing ray technique

机译:使用射击和弹跳射线技术进行签名预测和图像形成的快速算法

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In radar signature applications it is often desirable to generate the range profiles and inverse synthetic aperture radar (ISAR) images of a target. The simulation of synthetic range profiles and ISAR images is usually a time intensive task and computation time is of prime importance. We present a fast algorithm to generate range profiles and ISAR images using the shooting and bouncing ray (SBR) technique. A closed form time-domain ray-spread function was derived by Jeng, Bhalla, Lee, Ling and Andersh (see IEEE Trans. Antennas Propagat., Sept. 1993) for the direct computation of the time-domain response (or range profile) of a conducting target without resorting to multi-frequency calculations. This formula gives the explicit contribution of each exit ray in the time domain. We have also extended this formula to the two-dimensional ISAR plane under the small-angle approximation. We cast these previously derived formulas into a convolution form. The convolution consists of a non-uniformly sampled signal and a closed form time-domain or image-domain ray-spread function. Using a fast scheme proposed by Sullivan (1990), the non-uniformly sampled function is first interpolated onto a uniform grid before the convolution is performed by the fast Fourier transform (FFT) algorithm. Results for several complex targets are presented to demonstrate the computation time savings and fidelity of the scheme.
机译:在雷达签名应用中,通常需要生成目标的距离剖面和合成孔径雷达(ISAR)逆像。合成距离剖面图和ISAR图像的仿真通常是一项耗时的任务,而计算时间至关重要。我们提出了一种使用射击和弹跳射线(SBR)技术生成距离剖面和ISAR图像的快速算法。 Jeng,Bhalla,Lee,Ling和Andersh(参见IEEE Trans。Antennas Propagat。,1993年9月)推导了一种封闭形式的时域射线扩散函数,用于直接计算时域响应(或范围分布图)无需借助多频计算即可确定导电目标。该公式给出了时域中每个出射光线的显式贡献。在小角度近似下,我们也将此公式扩展到二维ISAR平面。我们将这些先前导出的公式转换为卷积形式。卷积由非均匀采样信号和闭合形式的时域或像域射线扩展函数组成。使用Sullivan(1990)提出的快速方案,在通过快速傅立叶变换(FFT)算法执行卷积之前,首先将非均匀采样函数插值到均匀网格上。给出了几个复杂目标的结果,以证明该方案节省了计算时间和保真度。

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