Similarity Magnetic Field Measurement Method Based on the Dynamic Time Warping Algorithm
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摘要: 在舰船磁场模拟及磁探测系统的目标识别中, 需要对模拟或探测磁场与真实目标磁场分布的相似程度进行评估。文中针对以往评估方法存在的问题, 提出利用动态时间规整(DTW)算法计算磁场的相似度, 解决了目标速度不同和起止点不一致情况下的磁场曲线相似度评估问题; 为降低磁场曲线局部扰动带来的影响, 利用最长公共子串对DTW算法进行了优化, 提高了相似度计算精度; 最后以模型试验验证了算法的正确性。与传统评估方法相比, 该方法无需人工预先设置参数, 能直接给出相似度评价结果, 可应用于舰船磁场模拟效果评估及磁探测系统的目标识别。Abstract: Simulating the magnetic field of a ship and identifying targets using magnetic detection requires evaluating the similarity of the magnetic field distribution obtained from the simulation and detection with the magnetic field distribution of the real target. In view of the problems existing in previous evaluation methods, the use of dynamic time warping algorithm is proposed to calculate the similarity of the magnetic field and solve the problem of evaluating the similarity of the magnetic field curve under different target speeds and inconsistent starting and ending points. To reduce the influence of local disturbances of the magnetic field curve, the longest common substring is used to optimize the dynamic time warping algorithm, thereby improving the calculation accuracy of similarity. Finally, the accuracy of the algorithm is verified by model testing. Compared with the traditional evaluation methods, no parameters need to be manually set in advance and the similarity evaluation result can be given directly, enabling the evaluation of the simulation effect of the ship’s magnetic field and identification of targets from magnetic detection.
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图 1 磁场通过特性曲线对距离的示例
Figure 1. The sample of magnetic field passing characteristic curves versus distances
图 3 分离后的固定磁场通过特性曲线对比
Figure 3. Comparison of the fixed magnetic field passing characteristic curves after separation
图 5 磁场模拟装置磁场通过特性曲线对比
Figure 5. Comparison of magnetic field passing characteristic curves of magnetic field simulation devices
表 1 试验一磁场三分量及总量相似度
Table 1. Similarity of three-component magnetic and total magnetic of experment 1
磁场 Φ ω α ωα Bx 0.872 3 0.961 9 0.997 9 0.961 9 By 0.864 8 0.941 7 0.997 0 0.941 9 Bz 0.860 4 0.934 3 0.997 7 0.934 5 B 0.855 9 0.935 2 0.997 7 0.935 3 
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表 2 试验二磁场三分量及总量相似度
Table 2. Similarity of three-component magnetic and total magnetic of experment 2
磁场 Φ ω α ωα Bx 0.843 2 0.926 8 0.995 5 0.927 1 By 0.823 8 0.915 4 0.995 3 0.915 7 Bz 0.834 6 0.930 0 0.995 5 0.930 2 B 0.805 9 0.882 5 0.995 5 0.884 9
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