Algebraic Solution for 3D Localization of Multistatic Passive Radar in the Presence of Sensor Position Errors
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摘要:
机载外辐射源雷达系统中，部署在飞机上的观测站传感器位置无法精确获知，观测站位置误差将严重影响目标定位精度。对此，该文提出一种观测站位置误差下多基外辐射源雷达3维定位代数解算法。该算法首先利用辅助变量将非线性双基距离和差(BRD)观测方程进行线性化，构造伪线性目标估计模型。然后将观测站位置量测噪声的统计特性融入定位算法，提出一种改进两步加权最小二乘(TS-WLS)算法实现观测站位置误差下外辐射源雷达目标定位。最后推导了克拉美罗下界(CRLB)和算法的理论误差。仿真结果显示，在适中的BRD量测误差和观测站位置误差下，所提算法的目标定位性能能够达到CRLB。
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关键词:
- 外辐射源雷达 /
- 观测站位置误差 /
- 双基距离和差(BRD) /
- 两步加权最小二乘(TS-WLS)
Abstract:An observer is placed on the airborne in the multistatic passive radar localization system. The error in observer position may seriously affect the localization accuracy. An algebraic closed-form solution is proposed for 3D localization of multistatic passive radar in the presence of sensor position errors. Firstly, the nonlinear Bistatic Range Difference (BRD) measurement equations are linearized by proper additional parameters and a pseudo-linear estimation model is given accordingly. Then a modified Two-Step Weighted Least Squares (TS-WLS) algorithm is developed with considering the statistic characteristics of the observer position measurement noises. Finally the Cramer-Rao Lower Bound (CRLB) and the theoretical error of the algorithm are derived. Simulation results show that the proposed algorithm can achieve the CRLB in a moderate level of noises.
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