二站纯方位定位误差的近似贝叶斯估计

Approximating Bayesian Estimation for Dual-Station Bearing-Only Locating Error

针对现有二站纯方位目标定位方法的不足,提出了二站纯方位定位误差估计的近似贝叶斯方法。首先,采用二元函数的一阶微分线性近似对后验联合概率密度函数进行泰勒展开;然后,推导出二站纯方位目标定位的近似贝叶斯区域估计的解析表达式,即定位误差的置信区域;最后,仿真试验验证了该方法的有效性。研究结果对于合理布置无源传感器以提高定位精度具有一定参考价值。

To solve problems of dual-station bearing-only locating methods, a dual-station bear- ing-only locating error estimation method is proposed by using linear approximating Bayesian the- ory. The method is derived by first order differential linear approximating for posterior-joint density function. The Bayesian region estimation for the location point is given, i. e. , the locating error confidential region. Simulation results demonstrate the validity of the method. The results have some reference values for reasonable disposing passive sensors to improve the localization accuracy.