A Method for Estimating 2D Direction of Arrival Based on Coprime Array with L-Shaped Structure

doi:10.7652/xjtuxb202002018

您当前的位置：

首页 >

文章列表页 >

A Method for Estimating 2D Direction of Arrival Based on Coprime Array with L-Shaped Structure

更新时间：2025-05-08

- A Method for Estimating 2D Direction of Arrival Based on Coprime Array with L-Shaped Structure
- Vol. 54, Issue 2, Pages: 144-149+188(2020)
- 作者机构：
  
  哈尔滨工程大学信息与通信工程学院,哈尔滨,150001
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb202002018
  CLC： TN911.7
- Online First：10 February 2020，
  
  Published：2020
- 稿件说明：
移动端阅览
A Method for Estimating 2D Direction of Arrival Based on Coprime Array with L-Shaped Structure[J]. 2020, 54(2): 144-149+188.
DOI：

A Method for Estimating 2D Direction of Arrival Based on Coprime Array with L-Shaped Structure[J]. 2020, 54(2): 144-149+188. DOI： 10.7652/xjtuxb202002018.

摘要

针对雷达L型均匀阵列因阵元间距太小导致无法在实际中摆放的问题

提出了一种L型互质阵列协方差重构二维波达方向(2D-DOA)估计算法。首先将L型互质阵列2D-DOA问题分解为两个子阵的1D-DOA问题

再根据互质阵列的位置

确定对应的虚拟均匀阵列

由于虚拟均匀阵列具有半正定(PSD)、低秩、托普利兹的结构特点

因而根据互质阵列接收数据的协方差矩阵

构造一个优化过程重构虚拟均匀阵列的协方差矩阵; 然后利用MUSIC算法完成两个1D-DOA估计; 最后利用配对算法对估计的一维角度进行配对。仿真实验表明

与L型均匀阵列MUSIC算法和L型互质阵列SS-MUSIC算法相比

在信噪比大于0 dB、快拍数大于50的条件下

所提算法的方向角和俯仰角均方根误差最小

均低于0.8°

可分辨角度最小间距为5°

证明了所提算法在估计精度和分辨力方面的优越性。

Abstract

A novel method for estimating 2-dimensional direction of arrival(2D-DOA)based on matrix reconstruction of L-shaped coprime array is proposed to deal with the problem that the L-shaped uniform linear array(ULA)of radars cannot be used in practical application because of the small distance between the adjacent elements. Firstly

the virtual ULA is determined according to the position of the coprime array. Since the virtual ULA has the characteristics of semi-positive definite(SPD)

low rank and Toeplit- structure

optimi-ation is conducted to reconstruct a virtual ULA covariance matrix based on the covariance matrix of the data received by the coprime array. Then

the MUSIC algorithm is applied to estimate two 1D angles. Finally

the pair matching method is used to match estimated 1D angles. Simulation results and comparisons with L-shaped ULA MUSIC algorithm and L-shaped coprime array SS-MUSIC algorithm show that when the signal-to-noise ratio is greater than 0 dB and the number of snap

关键词

Keywords

references

ZOLTOWSKI M D, HAARDT M, MATHEWS C P. Closed-form 2-D angle estimation with rectangular arrays in element space or beamspace via unitary ESPRIT [J]. IEEE Transactions on Signal Processing, 1996, 44(2): 316-328.

RAMOS J, MATHEWS C P, ZOLTOWSKI M D. FCA-ESPRIT: a closed-form 2D angle estimation algorithm for filled circular arrays with arbitrary sampling lattices [J]. IEEE Transactions on Signal Processing, 1999, 47(1): 213-217.

HUA Y, SARKAR T K, WEINER D D. An L-shaped array for estimating 2-D directions of wave arrival [J]. IEEE Transactions on Antennas and Propagation, 2002, 39(2): 143-146.

刘永旭, 杨光, 周彬. 基于子空间投影角度配对的L阵列二维DOA估计算法 [J]. 电子信息对抗技术, 2016, 31(4): 11-15.

LIU Yongxu, YANG Guang, ZHOU Bin. An L-shaped 2-D direction of arrival estimation based on subspace projection pair matching [J]. Electronic Information Warfare Technology, 2016, 31(4): 11-15.

黄殷杰. L阵列中二维DOA估计算法研究 [D]. 南京: 南京航空航天大学, 2013: 18-24.

景小荣, 刘雪峰. L阵列的二维DOA估计方法 [J]. 重庆邮电大学学报(自然科学版), 2016, 28(1): 24-29.

JING Xiaorong, LIU Xuefeng. Method of two-dimensional DOA estimation for L-shaped array [J]. Journal of Chongqing University of Posts and Telecommunications(Natural Science Edition), 2016, 28(1): 24-29.

LIU C L, VAIDYANATHAN P P. Super nested arrays: linear sparse arrays with reduced mutual coupling: part II High-order extensions [J]. IEEE Transactions on Signal Processing, 2016, 64(15): 3997-4012.

MOFFET A. Minimum-redundancy linear arrays [J]. IEEE Trans Antennas Propag, 1968, 16(2): 172-175.

PAL P, VAIDYANATHAN P P. Nested arrays: a novel approach to array processing with enhanced degrees of freedom [J]. IEEE Transactions on Signal Processing, 2010, 58(8): 4167-4181.

VAIDYANATHAN P P, PAL P. Sparse sensing with co-prime samplers and arrays [J]. IEEE Transactions on Signal Processing, 2011, 59(2): 573-586.

PAL P, VAIDYANATHAN P P. Coprime sampling and the music algorithm [C]∥2011 Digital Signal Processing and Signal Processing Education Meeting. Piscataway, NJ, USA: IEEE, 2011: 289-294.

LIU Chunlin, VAIDYANATHAN P P, PAL P. Coprime coarray interpolation for DOA estimation via nuclear norm minimization [C]∥2016 IEEE International Symposium on Circuits and Systems. Piscataway, NJ, USA: IEEE, 2016: 2639-2642.

PAL P, VAIDYANATHAN P P. A grid-less approach to underdetermined direction of arrival estimation via low rank matrix denoising [J]. IEEE Signal Processing Letters, 2014, 21(6): 737-741.

PIYA P. Correlation awareness in low-rank models: sampling, algorithms, and fundamental limits [J]. IEEE Signal Processing Magazine, 2018, 35(4): 56-71.

LIU T, MENDEL J. Azimuth and elevation direction finding using arbitrary array geometries [J]. IEEE Transactions on Signal Processing, 1998, 46(7): 2061-2065.

KIKUCHI S, TSUJI H, SANO A. Pair-matching method for estimating 2D angle of arrival with a cross-correlation matrix [J]. IEEE Antennas and Wireless Propagation Letters, 2006, 5(1): 35-40.

WEI Yinsheng, GUO Xiaojiang. Pair-matching method by signal covariance matrices for 2D-DOA estimation [J]. IEEE Antennas and Wireless Propagation Letters, 2014, 13: 1199-1202.

WANG Guangmin, XIN Jingmin, ZHENG Nanning, et al. Computationally efficient subspace-based method for two-dimensional direction estimation with L-shaped array [J]. IEEE Transactions on Signal Processing, 2011, 59(7): 3197-3212.

GRANT M, BOYD S. CVX: Matlab software for disciplined convex programming [EB/OL]. [2019-04-15]. http: ∥cvxr.com/cvx/beta/.

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

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

A Robust Beamforming Algorithm Based on Non-Uniform Generalized Diagonal Loading Method

Diffusion Characteristics and Influencing Factors in Case of Hydrogen Leakage from Fuel Cell Vehicles Running in Tunnels

I/O Performance Modeling and Prediction Method for Large-Scale Parallel Applications Using Machine Learning

A Structure-Semantics-Residual Collaborative Image Compression Framework：Towards Privacy Protection and High-Fidelity Reconstruction

Knowledge Graph Representation Learning Driven by Semantic Discrimination and Subgraph Integration

Related Author

王玉玺

黄国策

李伟

刘剑

狄旻珉

Related Institution

School of Information and Navigation, Air Force Engineering University

⁰