Study of Array Structure for Sensor Placement in PDOA-based Hit Position Estimation
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摘要: 在基于到达相位差(Phase Differences Of Arrival, PDOA)的着靶点参数估计问题中，估计精度受到阵列结构的影响。与一般的单点目标定位问题相比，着靶点参数估计需要同时估计目标的速度和角度参数，情况更加复杂。为了选择合适的阵列结构以对定位结果带来有利影响，该文从灵敏度的角度分析了不同阵列结构下靶点参数估计精度各有差异的原因，为判断不同情况下接收阵列定位性能的优劣提供了理论方法。最后，对3种常见阵列结构进行了计算机仿真对比，仿真结果验证了利用灵敏度指标对阵列布放结构进行评估的可行性。Abstract: Different sensor placements have a great influence on the accuracy in Phase Differences Of Arrival (PDOA)-based hit position estimation. Compared with single time target localization, estimation of hit position is more complex because of additionally considering speed and its direction. In order to choose an adequate sensor geometry for source localization, a method of evaluating the performance of sensor placement by sensitivity analysis is proposed, which provides a theoretical foundation for analyzing the accuracy of hit position estimation. Then the sensitivities of three typical sensor geometries are analyzed and Cramer-Rao Lower Bound is compared to verify the effectiveness of the proposed method using computer simulations.
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Key words:
- Hit position estimation /
- Phase Differences of Arrival /
- Array structure
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表 1 不同阵列的灵敏度和CRLB对比
坐标 (m) (0,0,0) (10,10,0) (20,20,0) (30,30,0) (40,40,0) (50,50,0) 中心辐射阵灵敏度 90.47 59.27 49.49 44.13 40.43 37.60 面心辐射阵灵敏度 132.31 83.81 69.89 62.36 57.23 53.34 顶角辐射阵灵敏度 92.06 59.83 50.14 44.83 41.16 38.35 中心辐射阵CRLB 3.9e-5 5.9e-4 0.0017 0.0031 0.0049 0.0071 面心辐射阵CRLB 4.8e-5 3.7e-4 0.001 0.0019 0.0029 0.0041 顶角辐射阵CRLB 4.7e-5 4.1e-4 0.0011 0.002 0.0031 0.0045 
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