基于约束加权最小二乘的无源定位闭式解算方法

发布时间：2018-06-22 11:25

本文选题：无源定位 + 闭式解　；参考：《系统工程与电子技术》2017年02期

【摘要】：针对无源定位问题中可进行伪线性处理的观测方程,提出一种基于约束加权最小二乘的无源定位闭式解算的理论框架。首先,在不限定定位观测量情况下,建立基于约束加权最小二乘的定位模型,推导其无约束最优化形式;然后,只需通过广义特征值分解即可实现辐射源状态估计并给出其解析表达式,并在此基础上证明了该闭式解的全局最优性和减小定位偏差的特性;最后,将该理论框架应用于到达角(angle of arrival,AOA)/到达时间差(time difference of arrival,TDOA)联合定位场景,验证了其有效性。仿真结果表明,所提算法定位精度能够逼近克拉美-罗下限(Cramer-Rao low bound,CRLB),定位偏差明显小于加权最小二乘算法,尤其在连续定位时间较短,噪声强度较大等情况下,验证了所提理论框架的优越性。
[Abstract]:Aiming at the observation equation which can be pseudo-linearly processed in the passive location problem, a theoretical framework for closed solution of passive location based on constrained weighted least squares is proposed. Firstly, a localization model based on constrained weighted least squares is established without limiting the location observations, and its unconstrained optimization form is deduced. The state estimation of emitter can be realized only by generalized eigenvalue decomposition and its analytical expression is given. On this basis, the global optimality of the closed solution and the characteristics of reducing the location deviation are proved. The theoretical framework is applied to the joint location scene of angle of arrival (angle of) / time-of-arrival (time difference of). The simulation results show that the proposed algorithm can approximate the Cramer-Rao low bound CRLB, and the localization deviation is obviously smaller than the weighted least square algorithm, especially in the case of shorter continuous localization time and larger noise intensity. The superiority of the proposed theoretical framework is verified.
【作者单位】：海军航空工程学院电子信息工程系;
【基金】：国家自然科学基金(91538201) 航空科学基金(20105584004)资助课题
【分类号】：TN971

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