基于一种无偏估计器的双站被动测距算法

Dual-observer Passive Ranging Algorithms Based on Unbiased Estimator

针对短基线情况下双站三角测距精度不高的问题,提出了一种利用双站方位历史信息实现被动测距的算法。建立了双站被动测距模型,该模型可以利用最小二乘等线性估计器来求解,但因其数据矩阵包含误差其解是有偏的,为此引入了一种无偏估计器来实现对目标距离的估计。通过仿真试验说明该算法比三角测距有着更高的精度,证明该算法用于双站被动测距是有效的。

The triangulation ranging algorithm is inaccurate when the baseline is short. A passive ranging algorithm was proposed using the dual-observer historical azimuths. The dual-observer passive ranging model was derived. The model allowed a linear estimator, such as the least squares estimator, to solve for the solution, but the solution obtained was biased. To introduce an unbiased estimator produced an unbiased solution. This proposed algorithm compared with the triangulation ranging algorithm can achieve the higher accuracy. The algorithm is proved effective.