面向非圆信号的四阶累积量直接定位方法

doi:10.12305/j.issn.1001-506X.2023.09.06

摘要/Abstract

摘要：

针对现有基于四阶累积量的直接定位方法阵列孔径扩展不充分以及数据冗余等问题, 提出了一种针对最大非圆率信号的四阶累积量直接定位方法。基于移动阵列在多个时隙对目标观测的定位场景, 该方法构造了一系列去冗余四阶累积量矩阵。结合辐射源信号的非圆特性, 利用阵列接收数据和共轭数据来构成扩展数据模型, 实现了阵列孔径扩展, 使等效阵元数增加, 从而提升定位性能，并通过重新构造快速提取无冗余数据, 大大降低矩阵运算维度。由于结合了信号的四阶累积量与非圆特性, 该算法适用于信源个数大于阵元数与阵列色噪声的复杂环境。理论分析与仿真结果表明, 该算法具有计算量小、高估计精度以及高分辨率等优势, 并在高信噪比条件下能够达到相应克拉美罗界。

关键词: 直接定位, 四阶累积量, 最大非圆率信号, 移动单站

Abstract:

To solve the problems of insufficient aperture expansion and data redundancy of the existing direct position determination (DPD) based on fourth-order accumulation, a fourth-order cumulative direct positioning method for the noncircular signal with maximum noncircularity rate is proposed. Based on the positioning scenario of the mobile array observing the target in multiple time slots, this method constructs a series of de-redundant fourth-order cumulative matrices. It combines the non-circular characteristics of the radiation source signal and uses the array receiving data and conjugate data to form an extended data model, which realizes the array aperture expansion and increases the equivalent array element number, thereby improving the positioning performance and rapidly extracting the redundant data through reconstruction, which greatly reduces the matrix operation dimension. Due to the combination of the fourth-order cumulative quantity and non-circular characteristics of the signal, the algorithm is suitable for complex environments where the number of sources is greater than the number of array elements and the pattern color noise. Theoretical analysis and simulation results show that the algorithm has the advantages of small computation amount, high estimation accuracy and high resolution, and can reach the corresponding Cramer-Rao bound (CRB) under high signal-to-noise ratio conditions.

Key words: direct position determination (DPD), fourth-order cumulant, signal with maximum noncircularity rate, single moving observer

中图分类号:

TN911.7

邓杰, 尹洁昕, 杨宾. 面向非圆信号的四阶累积量直接定位方法[J]. 系统工程与电子技术, 2023, 45(9): 2690-2697.

Jie DENG, Jiexin YIN, Bin YANG. Direct position determination method of fourth-order cumulant for noncircular signals[J]. Systems Engineering and Electronics, 2023, 45(9): 2690-2697.

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参考文献 32

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算法	平均运行时间
两步定位算法	0.095
RNCHOC算法	2.696
NCHOC算法	1.284

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