传感器自身的位置误差对辐射源的无源定位精度可能有较大影响,详细分析并推导了在存在传感器位置误差条件下,仅使用到达频率差(FDOA)参数对辐射源定位时,定位精度的克拉美罗下限(CRLB)和均方误差(MSE)。在传感器位置误差条件下,提出仅用FDOA来同时估计辐射源和传感器位置的泰勒级数方法,并证明该定位方法理论上的MSE和CRLB一致。实验中在给定较好初始解的情况下,泰勒级数方法的估计精度基本上达到了CRLB,同时也验证了定位误差CRLB和MSE性能理论分析的正确性。
The accuracy of passive localization is very sensitive to erroneous receiver positions. This paper performs a Cramer-Rao lower bound(CRLB)and a mean-square error(MSE)analysis for passive localization using frequency-difference-of-arrival(FDOA)only. An iterative algorithm, the Taylor-series method, is applied to estimate the location of an emitter and the positions of receivers using FDOA measurements when the receivers have random position errors. The theoretical MSE of the algorithm is derived and proved to meet the CRLB. Given a good initial solution guess, simulation results show that the estimation accuracy approximately attains the CRLB and demonstrate the feasibility of the accuracy analysis.
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