存在位置误差时运动多平台时差定位CRLB分析

摘要

存在平台位置测量误差时,已有研究未涉及运动多平台时差(TDOA)连续定位的性能评价.为此,选择克拉美-罗限(CRLB)作为对目标定位性能的评价指标,将不同时刻的运动多平台真实位置向量构成扩维向量后由CRLB定义得出了其通用计算式,并根据运动多平台TDOA连续定位的特点,推导了适合此应用场景的具体计算式.仿真结果表明了所推导的CRLB能有效用于上述场景中的定位性能评价,对近场及远场目标都需要在系统技术指标及定位算法设计等方面考虑平台位置测量误差的影响.%In moving multi-platform time-difference-of-arrival (TDOA) continuous localization,precise platform locations are often not available in practice.The localization performance evaluation for such scene is not researched.Aiming at this,the Cramér-Rao lower bound(CRLB) is chosen as the evaluation index for the target localization.A augmented vector is composed using all true platform positions at different instants and the common calculation formula for the CRLB is got by its definition.According to the characteristics of the moving multi-platform TDOA continuous localization,the specific calculation formula is derived.Simulation results indicate the effectiveness of the derived index for the performance evaluation in the aforementioned scene.The influence of the platform's position error should be considered in system technical index and localization algorithm design for both the near-field target and the far-field target.