基于决策与回归树的电磁散射数据插值方法

Feng Chen, Jia Zhai, Xunwang Dang, Xiaodan Xie, Yong Zhu, Hongcheng Yin
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摘要

电磁散射数据的粒度是研究目标电磁散射特性的一个关键方面。基本的电磁散射数据采集方法是模拟和测量。对于几何参数、材料参数等模型参数未知的目标,很难采用直接仿真的方法获得其详细的电磁数据。由于高昂的成本和有限的测量条件,在大多数情况下,获得的电磁散射数据有限且粗糙。这样的电磁数据不足以研究真实目标的特征进行检测和识别。为了扩大数据采集能力,获得更详细的数据,我们提出将增强决策树方法应用于电磁散射数据插值。首先是对电磁散射数据进行预处理。该数据包括不同频率、不同仰角和不同方位角下的雷达截面(RCS),需要对测量系统中的噪声进行滤波。数据应随机分为训练和测试数据集。下一步是决策树集成设计。利用训练数据集,进行目标函数优化和树参数估计,建立基于梯度增强的电磁散射特征树模型。最后一步是使用测试数据集验证模型。该模型可用于电磁散射数据插值,得到更完整、更详细的数据。同时,根据该方法进行了插值实验。数值算例验证了该方法在电磁散射数据补全和细化方面的功能,为模型参数未知目标的电磁研究提供了支持。
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An EM Scattering Data Interpolation Method Based on Decision and Regression Tree
The granularity of electromagnetic (EM) scattering data is a key aspect in studying targets’ EM scattering characteristics. The basic EM scattering data acquiring methods are doing simulation and measurement. For targets with unknown model parameters, e.g., geometric and material parameters, it’s hard to use direct simulation method to get their detailed EM data. Due to the high cost and limited measurement conditions, the acquired EM scattering data is limited and coarse in the most time. Such EM data is not enough to study real target’s characteristics for detection and recognition. In order to expand the data acquisition ability and get more detailed data, we propose to apply boosting decision tree method for EM scattering data interpolation. The first step is making pre-process of EM scattering data. The data includes radar cross section (RCS) under different frequency, elevation and azimuth, and needs to filter the noise in measurement system. The data should be randomly divided into training and testing datasets. The next step is the decision tree ensemble design. Using the training dataset, objective function optimization and tree parameter estimation are conducted to build EM scattering characteristic based gradient boosted tree model. The last step is to validate the model using the testing dataset. The model can be used for EM scattering data interpolation to get more completed and detailed data. Meanwhile, we performed the interpolation experiment based on the method. Numerical examples have verified the functionalities of such method in EM scattering data completion and refinement, and it will support the EM study of targets with unknown model parameters.
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