Improved Cumulant Direction Finding Algorithm with Fourth Order

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Improved Cumulant Direction Finding Algorithm with Fourth Order

更新时间：2025-07-09

- Improved Cumulant Direction Finding Algorithm with Fourth Order
- Vol. 46, Issue 12, Pages: 36-41(2012)
- 作者机构：
  
  天津大学电子信息工程学院,天津,300072
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN914.42
- Online First：10 December 2012，
  
  Published：2012
- 稿件说明：
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Improved Cumulant Direction Finding Algorithm with Fourth Order[J]. 2012, 46(12): 36-41.
DOI：

Improved Cumulant Direction Finding Algorithm with Fourth Order[J]. 2012, 46(12): 36-41. DOI：

摘要

针对降维的四阶累积量矩阵因采样快拍数有限而存在估计误差的问题

提出一种结合Toeplitz近似的四阶累积量旋转不变子空间(ESPRIT)测向算法(TFOC-ESPRIT).该算法在保持虚拟阵列有效孔径不变的同时

通过去除原始四阶累积量矩阵中的冗余元素

得到降维的四阶累积量矩阵

再对降维矩阵进行Toeplitz操作

恢复其Toeplitz结构

最后利用ESPRIT算法估计到达信号的方向.仿真实验表明:与MFOC-ESPRIT算法相比

TFOC-ESPRIT算法有效地提高了测向精度

不仅在少阵元数下能实现多信号的估计

而且当快拍数为400时

在空间白噪声和空间色噪声环境中其归一化成功概率也较高

分别达到了0.996和0.788.

Abstract

An improved direction of arrival(DOA)estimation algorithm

called Toeplitz fourth-order cumulant ESPRIT(TFOC-ESPRIT)algorithm

is proposed to deal with the estimation error problem that exists in the reduced-rank fourth-order cumulant(FOC)matrix and is caused by finite sampling snapshots. A reduced-rank FOC matrix is obtained through removing the redundant information encompassed in the primary FOC matrix

while the effective aperture of the virtual array keeps unchanged. Then

the Toeplitz structure of the reduced-rank FOC matrix is recovered by applying the Toepltiz approximation. Finally

the direction of arrival signals is estimated using the ESPRIT algorithm. Simulation results and comparisons with the MFOC-ESPRIT algorithm show that the proposed TFOC-ESPRIT algorithm effectively improves direction-finding accuracy

and that it can not only estimate DOA of more targets with less antennas

but also have higher normalized probability of success - the probability reaches 0.996 and 0.788

respectively

in both the spatially-white noise and the spatially-color noise environments with 400 sampling snapshots.

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references

徐元欣,王安国,聂仲尔. 基于四阶累积量的近远场源多参数联合估计算法[J].电子与信息学报,2011,33(6):1379-1384.

XU Yuanxin, WANG Anguo, NIE Zhonger. Joint multi-parameters estimation of near-field and far-field sources based on the fourth order cumulant [J]. Journal of Electronics & Information Technology, 2011, 33(6): 1379-1384.

石娟,邓科,殷勤业.一种适合任意阵列流型的相干信号波达方向估计算法[J]. 西安交通大学学报,2009,43(6): 72-75.

SHI Juan, DENG Ke, YIN Qinye. A method for estimating the direction of arrival of coherent signals on arbitrary antenna array in multi-path scenarios[J]. Journal of Xi'an Jiaotong University, 2009, 43(6): 72-75.

SCHMIDT R O. Multiple emitter location and signal parameter estimation[J]. IEEE Transactions on Antennas and Propagation, 1986, 34(3): 276-280.

ROY R, KAILATH T. ESPRIT:estimation of signal parameters via rotational invariance techniques[J]. IEEE Transactions on Acoustics, Speech and Signal Processing, 1989, 37(7): 984-995.

SHAN Zhilong, YUM T S P. A conjugate augmented approach to direction-of-arrival estimation[J]. IEEE Transactions on Signal Processing, 2005, 53(11): 4104-4109.

YE Zhongfu, ZHANG Yufeng. DOA estimation for non-Gaussian signals using fourth-order cumulants [J]. IET Microwaves, Antennas Propagation, 2009, 3(7): 1069-1078.

姚敏立,殷勤业. 累量域高分辨率二维波达方向估计算法[J]. 西安交通大学学报,1999,33(1):15-18.

YAO Minli, YIN Qingye. High-resolution algorithm for two dimensional direction finding of non-Gaussian sources [J]. Journal of Xi'an Jiaotong University, 1999, 33(1): 15-18.

刁鸣,吴小强,李晓刚. 基于四阶累积量的测向方法研究[J]. 系统工程与电子技术,2008,30(2): 226-228.

DIAO Ming, WU Xiaoqiang, LI Xiaogang. Study on DOA estimation based on fourth-order cumulants[J]. Systems Engineering and Electronics, 2008, 30(2): 226-228.

唐建红,司锡才,彭巧乐. 快速四阶累积量旋转不变子空间算法[J]. 西安交通大学学报,2009,43(6): 88-92.

TANG Jianhong, SI Xicai, PENG Qiaole. Estimation of signal parameters via rotational invariance techniques algorithm with speedy fourth-order cumulants[J]. Journal of Xi'an Jiaotong University, 2009, 43(6): 88-92.

黄蕾,张曙. 一种改进的四阶累积量波束形成算法[J]. 系统工程与电子技术,2008,30(12): 2345-2348.

HUANG Lei, ZHANG Shu. New beamforming algorithm based on the fourth order cumulant [J]. Systems Engineering and Electronics, 2008, 30(12): 2345-2348.

ZENG Wenjun, LI Xilin, ZHANG Xianda. Direction-of-arrival estimation based on the joint diagonalization structure of multiple fourth-order cumulant matrices[J]. IEEE Signal Processing Letters,2009, 16(3): 164-167.

王鼎,姚晖,吴瑛. 基于协方差匹配技术的互耦和幅相误差联合校正算法[J].电子学报,2012,40(3):580-586.

WANG Ding, YAO Hui, WU Ying. The joint calibration algorithms of mutual coupling and gain-and-phase errors based on covariance matching technique [J]. Acta Electronica Sinica, 2012, 40(3):580-586.

王静,黄建国,侯云山. 采用峰值平均功率比的低信噪比水下多目标检测方法. 2012, 46(2): 124-129.

刘阳,冯志勇,尉志清,等. Nakagami-m信道下认知中继网络的中断概率上界闭式解模型. 2012, 46(10): 95-100.

张立峰,王彤,吴建新,等. 机载雷达目标空时参数快速估计方法. 2012, 46(2): 135-140.

张莹,殷勤业,穆鹏程. 利用均匀线阵实现高移动性通信系统中的多普勒补偿. 2011, 45(8): 73-77.

杨继波,李会勇,陈客松,等. 球面共形天线阵列的稀布优化方法. 2011, 45(4): 77-81.

陈志菲,孙进才,侯宏. 子阵和相位平滑的相位差方向估计方法. 2010, 44(10): 72-76.

穆鹏程,殷勤业,王文杰. 无线通信中使用随机天线阵列的物理层安全传输方法. 2010, 44(6): 62-66.

王文杰, 张渭乐, 殷勤业. 利用离去角度的无线传感器网络分布式节点定位方法. 2010, 44(2): 61-66.

侯云山, 黄建国, 金勇. 被动合成阵列极大似然参数估计的快速方法. 2009, 43(12): 106-110.

石娟, 邓科, 殷勤业. 一种适合任意阵列流型的相干信号波达方向估计算法. 2009, 43(6): 72-76.

唐建红, 司锡才, 彭巧乐. 快速四阶累积量旋转不变子空间算法. 2009, 43(6): 88-92.

聂卫科, 冯大政, 刘建强. 二维波达方向估计的非酉联合对角化方法. 2008, 42(6): 747-750.

罗铭,殷勤业,冯昂,等. 相关衰落多输入多输出系统的参数化信道估计. 2007, 41(12): 1431-1435.

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