一种基于多普勒频率的恒模信号直接定位方法

发布时间：2018-05-01 09:27

本文选题：无源定位 + 直接位置确定　；参考：《航空学报》2017年09期

【摘要】：相比于传统的差分多普勒(DD)两步定位方法,以Amar和Weiss提出的基于多普勒频率的单步直接定位方法在低信噪比和小样本条件下具有更高的定位精度。在该类新型定位体制的基础上,提出了一种基于多普勒频率的恒模信号直接定位方法。首先,依据最大似然(ML)准则以及恒模信号的恒包络特征,建立相应的直接定位优化模型。然后,根据目标函数的代数特征将全部未知参量分成两组,并提出一种有效的多参量交替迭代算法,用以获得该优化问题的最优数值解。新算法包含了针对这两组未知参量的Newton型迭代公式,用以避免网格搜索,并能实现多维参数的"解耦合"估计。最后,推导出针对恒模信号的目标位置直接估计方差的克拉美罗界(CRB)。数值实验验证了新方法的优越性。
[Abstract]:Compared with the traditional DPD two-step localization method, the single-step direct localization method based on Doppler frequency proposed by Amar and Weiss has higher accuracy under low SNR and small samples. On the basis of this kind of new positioning system, a direct localization method of constant modulus signal based on Doppler frequency is proposed. Firstly, based on the maximum likelihood (MLL) criterion and the constant envelope feature of the constant modulus signal, the corresponding direct location optimization model is established. Then, according to the algebraic characteristics of the objective function, all the unknown parameters are divided into two groups, and an effective multi-parameter alternating iterative algorithm is proposed to obtain the optimal numerical solution of the optimization problem. The new algorithm includes Newton type iterative formulas for these two sets of unknown parameters to avoid grid search and to realize the "decoupling" estimation of multidimensional parameters. Finally, the Clemero bound for estimating the variance of the target position of the constant modulus signal is derived. Numerical experiments show the superiority of the new method.
【作者单位】：解放军信息工程大学信息系统工程学院;国家数字交换系统工程技术研究中心;
【基金】：国家自然科学基金(61201381) 中国博士后科学基金(2016M592989) 信息工程大学优秀青年基金(2016603201)~~
【分类号】：TN911.7

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