一种基于多普勒频率的恒模信号直接定位方法

doi:10.7527/S1000-6893.2017.321084

电子电气工程与控制

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一种基于多普勒频率的恒模信号直接定位方法

王鼎^1,2, 尹洁昕^1,2, 吴志东¹, 刘瑞瑞¹

1. 解放军信息工程大学信息系统工程学院, 郑州 450001;
2. 国家数字交换系统工程技术研究中心, 郑州 450002

收稿日期:2016-12-30 修回日期:2017-03-15 出版日期:2017-09-15 发布日期:2017-04-01
通讯作者: 尹洁昕 E-mail:Cindyin0807@163.com
基金资助:
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）

Direct localization method for constant modulus source based on Doppler frequency shifts

WANG Ding^1,2, YIN Jiexin^1,2, WU Zhidong¹, LIU Ruirui¹

1. School of Information Systems Engineering, PLA Information Engineering University, Zhengzhou 450001, China;
2. National Digital Switching System Engineering & Technological Research Center, Zhengzhou 450002, China

Received:2016-12-30 Revised:2017-03-15 Online:2017-09-15 Published:2017-04-01
Supported by:
National Natural Science Foundation of China (61201381);China Postdoctoral Science Foundation (2016M592989);The Outstanding Youth Foundation of Information Engineering University (2016603201)

摘要/Abstract

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。

关键词: 无源定位, 直接位置确定, 多普勒频率, 恒模信号, 最大似然估计, Newton型迭代, 克拉美罗界

Abstract:

Compared with the conventional Differential Doppler (DD) localization method, the Direct Position Determination (DPD) method proposed by Amar and Weiss has higher position estimation accuracy under the condition of low Signal-to-Noise Ratio (SNR) and small number of samples. Based on this novel localization mechanism, a new DPD method using Doppler frequency shifts is presented for the constant modulus source. The DPD optimization model is constructed based on the Maximum Likelihood (ML) criterion as well as the constant modulus property of the source. All the unknowns are then classified into two groups according to the algebraic characteristic of the cost function, and an effective alternating iteration algorithm is presented to solve this DPD optimization problem numerically. In the proposed algorithm, two Newton-type iterative steps are devised for the two groups of unknowns, and then the grid search can be avoided and the multidimensional parameters are decoupled. The Cramér-Rao Bound (CRB) on the direct position estimation variance for constant modulus source is derived. Simulation results corroborate the good performance of the proposed method.

Key words: passive location, direct position determination, Doppler frequency, constant modulus source, maximum likelihood estimation, Newton-type iteration, Cramér-Rao bound

中图分类号:

王鼎, 尹洁昕, 吴志东, 刘瑞瑞. 一种基于多普勒频率的恒模信号直接定位方法[J]. 航空学报, 2017, 38(9): 321084-321084.

WANG Ding, YIN Jiexin, WU Zhidong, LIU Ruirui. Direct localization method for constant modulus source based on Doppler frequency shifts[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(9): 321084-321084.

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E-mail：hkxb@buaa.edu.cn

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主管单位：中国科学技术协会主办单位：中国航空学会北京航空航天大学

一种基于多普勒频率的恒模信号直接定位方法

Direct localization method for constant modulus source based on Doppler frequency shifts

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