利用时差的单站无源相干定位最大似然算法

发布时间：2019-06-09 15:05

【摘要】：针对利用单个观测站接收多个第三方辐射源信号来估计目标位置的无源相干定位问题,提出了一种基于最大似然的时差定位算法。首先根据时差测量与目标位置之间的函数关系,构建目标位置的似然函数;然后采用牛顿迭代算法求解非线性似然函数的全局极大值,从而得到目标位置估计;推导了目标位置的最小二乘解,并将其作为牛顿迭代的初始解,从而保证算法的收敛性;最后还推导了算法的理论误差和克拉美罗界,并证明两者相等。仿真结果表明,算法的定位精度优于现有算法,且在测量误差适中时,定位精度可以达到克拉美罗界。通过几何精度因子图,分析了目标位置、外辐射源数量和位置等因素对定位精度的影响。
[Abstract]:In order to solve the problem of passive coherent location in which multiple third-party radiation source signals are received by a single observation station to estimate the target position, a time difference location algorithm based on maximum likelihood is proposed. Firstly, the likelihood function of the target position is constructed according to the functional relationship between the time difference measurement and the target position, and then the global maximum value of the nonlinear likelihood function is solved by Newton iterative algorithm, and the target position estimation is obtained. The least square solution of the target position is derived and regarded as the initial solution of Newton iteration to ensure the convergence of the algorithm. Finally, the theoretical error of the algorithm and the Clamero bound are deduced, and it is proved that the two are equal. The simulation results show that the positioning accuracy of the algorithm is better than that of the existing algorithms, and when the measurement error is moderate, the positioning accuracy can reach the Clamelot bound. Through the geometric accuracy factor diagram, the influence of target position, the number and position of external radiation sources on the positioning accuracy is analyzed.
【作者单位】：解放军信息工程大学导航与空天目标工程学院;河南广播电视大学机电工程学院;
【基金】：国家自然科学基金(61401469)资助项目国家高技术研究发展计划(2012AA7031015)资助项目
【分类号】：TN95

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