移动辐射源AOA-TDOA-FDOA联合定位闭合解算法

Closed-Form AOA-TDOA-FDOA Solution for Moving Source Location

  • 摘要: 移动辐射源无源定位是电子对抗领域需要解决的关键问题之一。基于到达时间差(TDOA)与到达频率差(FDOA)的联合定位闭合解算法是解决上述问题的有效途径之一,但完成一次定位至少需要5个协同平台才能达到该算法的应用条件。在保持无源定位闭合解框架的前提下,为减少协同平台个数,提出了一种融合到达角(AOA)观测量、TDOA观测量以及FDOA观测量的无源定位算法。当各观测量的观察噪声及传感器位置偏差均为高斯噪声且噪声强度适中时,可建立移动辐射源位置与各观测量及传感器位置的近似代数表达式,并由此形成AOA-TDOA-FDOA联合定位闭合解算法。进一步的理论分析表明,该算法的定位误差能达到克拉美罗界,数值仿真结果与理论分析结论吻合。

     

    Abstract: The location of a moving emitting source is a key problem in the field of electronic countermeasures. One of the effective solutions to solve this problem is the passive location closed-form algorithm based on the time difference of arrival (TDOA) and frequency difference of arrival (FDOA) measurements. However, in order to satisfy the requirement of the above algorithm, at least 5 nodes need to collaborate to complete a location task. Given the closed-form frame of passive location algorithm, by combining the angle of arrival (AOA), TDOA and FDOA measurements, a novel location algorithm is proposed to reduce the number of collaborative platforms. The approximate algebraic relationships are derived between the moving source position and the measurements with platform positions. According to the aforementioned conditions, the closed formed expressions can be calculated by joint AOA-TDOA-FDOA mechanism. The theoretical analysis demonstrates that solution accuracy of the proposed location algorithm can achieve the Cramér–Rao lower bound (CRLB), some numerical simulation results coincide with the theoretical results.

     

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