多径环境下基于波达方向和两步聚类的三维多辐射源定位方法

A 3D multi-source radiation localization method based on wave arrival direction and two-step clustering in multipath environments

  • 摘要: 针对多径环境下三维多辐射源定位中存在的辐射源个数估计困难与定位精度不足问题,提出一种基于重构噪声子空间的波达方向(direction of arrival, DOA)和两步聚类相结合的定位方法. 该方法通过改进的重构噪声子空间算法估计各辐射源信号主径的方位角与俯仰角;进而,对DOA关联所得空间交点集采用轮廓系数与肘部法则相结合的分析方法估计辐射源数目;在此基础上,采用多区域协同策略,以具有噪声的基于密度的空间聚类(density-based spatial clustering of applications with noise, DBSCAN)与K均值聚类(K-means clustering, K-means)算法相结合的两步聚类方法估计各辐射源的平面坐标,再筛选邻近估计平面坐标的空间点集,选取最密集的高度区域进行平均,从而确定高度坐标,实现三维定位. 仿真结果表明,在主从径幅度比为5 dB时,所提DOA的估计方法相比于已有的改进重构噪声子空间多重信号分类(improved reconstructed noise-subspace multiple signal classification, IRNSMUSIC)方法,其均方根误差(root mean square error, RMSE)降低约47%;所提两步聚类定位方法相比于已有的均值漂移定位方法,3个源的平均定位误差降低了约54%.

     

    Abstract: A localization method based on noise subspace reconstruction for direction of arrival (DOA) and two-step clustering is proposed to address the problems of difficult estimation of the number of radiation sources and insufficient localization accuracy in three-dimensional multiple radiation source localization under multipath environments. The method estimates the azimuth and elevation angles of the main paths of each radiation source signal using an improved noise subspace reconstruction algorithm. Subsequently, the number of radiation sources is estimated by applying a combined analysis method of silhouette coefficient and elbow method to the spatial intersection points obtained from DOA association. On this basis, a multi-region cooperation strategy is adopted, and a two-step clustering method combining density-based spatial clustering of applications with noise (DBSCAN) and K-means clustering (K-means) is used to estimate the planar coordinates of each radiation source. Then, the spatial point sets adjacent to the estimated planar coordinates are screened, and the densest height region is selected for averaging to determine the height coordinate, thereby achieving three-dimensional localization. Simulation results show that when the main-to-multipath amplitude ratio is 5  dB, the proposed DOA estimation method reduces the root mean square error (RMSE) by about 47% compared with the existing improved reconstructed noise-subspace multiple signal classification (IRNSMUSIC) method. Furthermore, the proposed two-step clustering localization method reduces the average localization error of three sources by about 54% compared with the existing mean shift localization method.

     

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