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The Application of Non-linear Dynamics Methods for Radar Target Identification

机译:非线性动力学方法在雷达目标识别中的应用

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Currently radar target identification is effected by finding the downrange distribution of scatterers on a platform using high definition radar and referencing this distribution to a look-up table of measured radar returns. This method is difficult due to the rapid scintillation of the radar signal of a flying target at short wavelengths. We investigate a method of target identification in the low definition, relatively long wavelength, limit using techniques derived from the field of non-linear dynamics. In this limit the radar reflection is much less sensitive to the orientation of the target to the radar and scintillation is greatly reduced. Modern detection advances allow the digitization and processing of raw real time non-pulse compressed waveforms. We simulate the raw radar returns from several very similar small (4 to 5 wavelength) objects (i.e.. cylinder, cone-cylinder, cone-ogive and double ogive) illuminated with chaotic or random modulated waveforms or a linear chirp using a commercial finite difference time domain code. In this aggressive limit we embed the target return in two dimensions using the method of delays to form an attractor. The geometric properties of the attractors are analyzed to distinguish between these similar target objects in the low definition limit. Our method selects random points on a reference attractor (or strands of points) with many Euclidean nearest neighbors and compares these with the nearest neighbor density of points (or strands) with the same time index on an attractor from an unknown target. Comparing the density of nearest neighbors at these points on two attractors allows us to calculate probabilities of correct identification. (Is the unknown signal from the reference target or from one of the other targets?) Simulation data and analyses derived from three different transmit waveforms are compared. The robustness of our target ID method is probed by the addition of white noise to the signals.
机译:当前,雷达目标识别是通过使用高清雷达在平台上找到散射体的下距分布并将这种分布参考测得的雷达回波的查询表来实现的。由于在短波长下飞行目标的雷达信号会快速闪烁,因此该方法很困难。我们研究了一种使用非线性动力学领域中的技术在低清晰度,相对较长的波长范围内进行目标识别的方法。在此限制下,雷达反射对目标相对于雷达的方向的敏感度大大降低,并且大大减少了闪烁。现代检测技术的进步允许对原始实时非脉冲压缩波形进行数字化和处理。我们模拟了混沌的或随机调制的波形或使用商业有限差分的线性线性调频照明的几个非常相似的小(4至5个波长)物体(即圆柱体,圆锥圆柱体,圆锥体和双体)的原始雷达返回。时域代码。在这个激进的极限中,我们使用延迟方法将目标收益率嵌入到二维空间中以形成吸引子。分析吸引子的几何特性,以在低清晰度范围内区分这些相似的目标对象。我们的方法选择与许多欧几里德最近邻点的参考吸引子(或点的链)上的随机点,并将这些点与未知目标的吸引子上具有相同时间指标的点(或链)的最近邻点密度进行比较。比较两个吸引子在这些点上最近邻居的密度,可以计算出正确识别的概率。 (是来自参考目标还是来自其他目标之一的未知信号?)比较了来自三个不同发射波形的仿真数据和分析。我们的目标ID方法的鲁棒性是通过向信号中添加白噪声来探究的。

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