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Location method of near distance electromagnetic radiation source based on compressive sensing
GU Xiaopeng , XIE Shuguo , HAO Xuchun
School of Electronic and Information Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
Received: 2016-01-21; Accepted: 2016-03-11; Published online: 2016-06-29 09:05
Foundation item: National Natural Science Foundation of China (61271045，61427803)
Corresponding author. E-mail:sgx888@163.com
Abstract: A locating method of near distance electromagnetic radiation source is proposed in this paper. To avoid the disadvantages of complexity, high hardware cost and large volume of the conventional multi-channel array system, a single antenna motion virtual array system is proposed to realize the function of the near-field location. On the basis, the sparsity of the radiation source in the spatial position of the measured area is proposed. The number and position of the radiation sources are reconstructed with less sampling data by using the non-stop motion sampling and the compressive sensing method. The sampling data quantity is reduced under the premise of ensuring the location accuracy, and the error effect caused by the time delay of the multiple sampling in every array element is eliminated. The feasibility of the method is verified by simulation. Then the system is designed for the actual test and good results have been achieved in the experiment.
Key words: electromagnetic interference     fault location     near-field     virtual array     compressive sensing

1 系统模型

 图 1 单天线单通道近场定位系统 Fig. 1 Single antenna and single channelnear-field location system

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 图 2 近场定位空间稀疏性示意图 Fig. 2 Schematic diagram of spatial sparsityof near-field location

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A表示向量S的阵列流行矩阵，相当于假设N个阵元的阵列对向量S采样，对向量进行了空间域的变换。

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2 仿真验证

 图 3 MUSIC算法定位结果 Fig. 3 Location result of MUSIC algorithm

 图 4 压缩感知算法定位结果 Fig. 4 Location result of compressive sensing algorithm

 图 5 信号源数目未知时的定位结果 Fig. 5 Location results when number of sources is unknown

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 图 6 不同目标源数量在不同虚拟阵元数下的定位成功率 Fig. 6 Location success rate of different source quantity under different amount of virtual array elements
3 系统设计与实验

 图 7 控制系统模块图 Fig. 7 Control system module diagram

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 图 8 不同算方法下的定位误差 Fig. 8 Location error of different algorithms

4 结 论

1) 本文提出了一种单天线运动合成阵列的近场辐射源定位方法，可以估计未知信号源的数量并定位。

2) 本文提出方法与常用的MUSIC算法相比，在保证定位精度的同时，极大减少了采样数据，以及采样时间可能带来的误差。

3) 经过设计搭建定位系统，在实际环境下多次实验，结果表明本文设计的系统具备近场定位能力，对于近场条件下的电磁辐射干扰源检测定位具有一定的参考意义及实用价值。

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#### 文章信息

GU Xiaopeng, XIE Shuguo, HAO Xuchun

Location method of near distance electromagnetic radiation source based on compressive sensing

Journal of Beijing University of Aeronautics and Astronsutics, 2017, 43(1): 79-85
http://dx.doi.org/10.13700/j.bh.1001-5965.2016.0074