基于对称旋转不变性的非圆相干分布源直接定位算法

逯志宇; 王建辉; 秦天柱; 巴斌

doi:10.11999/JEIT180433

基于对称旋转不变性的非圆相干分布源直接定位算法

doi: 10.11999/JEIT180433

解放军信息工程大学郑州 450001

基金项目: 国家自然科学基金(61401513)，解放军信息工程大学自主课题基金(h2116)

详细信息

作者简介:
逯志宇：男，1989年生，博士生，研究方向为目标定位与跟踪、信号处理

王建辉：男，1983年生，副教授，主要研究方向为目标定位

秦天柱：男，1994年生，硕士生，研究方向为信号处理、无线目标定位

巴斌：男，1987年生，讲师，博士，主要研究方向为信号分析、目标定位

通讯作者:
王建辉　wjhxxgc@163.com

中图分类号: TN911.72
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出版历程
- 收稿日期: 2018-05-07
- 修回日期: 2018-11-08
- 网络出版日期: 2018-11-16
- 刊出日期: 2019-03-01

Direct Position Determination for Coherently Distributed Noncircular Source Based on Symmetric Shift Invariance

PLA Information Engineering University, Zhengzhou 450001, China

Funds: The National Natural Science Foundation of China (61401513), The Self-Topic Foundation of PLA Information Engineering University (h2116)

摘要

摘要:
针对现有相干分布源直接定位方法中存在的依赖分布模型、计算复杂等问题，该文提出一种基于非圆信号特征的对称旋转不变直接定位算法。该方法首先根据分布源参数化假设建立基于数据域信息的直接位置估计模型，并利用非圆信号特征扩展接收信号的协方差矩阵。然后针对中心对称阵列，证明了相干分布源的确定性角信号分布函数矢量具有对称特性，基于这一特征建立了扩展方向矢量的旋转不变关系；构造了融合多个观测站信息的目标函数，直接估计目标位置，避免了对分布模型的依赖，且降低了待估计参数维度。仿真结果表明，与现有相干分布源定位算法相比，所提算法提高了分布源位置估计精度和效率，避免了对分布模型的依赖，更具实用价值。
- 直接定位 /
- 相干分布源 /
- 非圆信号 /
- 对称旋转不变性
Abstract:
The existing Direct Position Determination (DPD) algorithm of Coherently Distributed (CD) sources rely on the distribution model of CD sources with huge computation cost, which is not practical. To improve further the localization performance, a novel DPD algorithm of CD sources that profits from the characteristics of noncircular signals is proposed based on the symmetric shift invariance of the centrosymmetric array. With the parameterization assumption of CD sources, the direct position determination model is firstly constructed by combining the characteristics of noncircular signals. Then, it is proved that for any centrosymmetric array, the generalized steering vector of CD sources has the property of symmetric shift invariance. Base on this characteristic, the positions of CD sources are directly estimated by fusing the information of all observation stations with no need to consider the distribution model, which reduces the dimension of the parameter to be estimated. Simulation results validate that, compared with the existing localization algorithms of CD sources, the proposed algorithm improves the localization accuracy, and avoids the dependence on the distribution model of CD sources, which is of great practical value.
- Direct Position Determination (DPD) /
- Distributed source /
- Noncircular sources /
- Symmetric shift invariance

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图 1 各算法空间谱图

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图 2 算法定位均方根误差随信噪比的变化趋势

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图 3 算法空间谱图

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图 4 算法定位性能随信噪比的变化趋势

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图 5 算法定位性能随快拍数的变化趋势

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