一种提升均匀自由度的稀疏阵列设计

戚连刚; 张义权; 国强; 王亚妮; KALIUZHNYI Mykola

doi:10.19665/j.issn1001-2400.20240307

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一种提升均匀自由度的稀疏阵列设计

信息与通信工程 | 更新时间：2024-11-13

- 一种提升均匀自由度的稀疏阵列设计
- Sparse array design for improving uniform degrees of freedom
- 西安电子科技大学学报 2024年51卷第4期页码：67-77
- 作者机构：
  
  1. 哈尔滨工程大学信息与通信工程学院,黑龙江哈尔滨 150001
  2. 先进船舶通信与信息技术工业和信息化部重点实验室,黑龙江哈尔滨 150001
  3. 哈尔科夫国立无线电电子大学先进问题科学研究室,哈尔科夫 61166
- 作者简介：
  
  [ "戚连刚(1990—),男,副教授,E-mail:[email protected]" ]
  [ "张义权(2000—),男,哈尔滨工程大学硕士研究生,E-mail:[email protected]" ]
  [ "国强(1972—),男,教授,E-mail:[email protected]" ]
  王亚妮(1991—),女,哈尔滨工程大学博士研究生,E-mail:[email protected]
  [ "KALIUZHNYI Mykola(1948—),男,教授,E-mail:[email protected]" ]
- 基金信息：
  
  国家自然科学基金(62071140);国家自然科学基金(62101155);国家重点研发计划(2018YFE0206500)
- DOI：10.19665/j.issn1001-2400.20240307
  中图分类号： TN911.72
- 纸质出版日期：2024-08-20，
  
  网络出版日期：2024-03-21，
  
  收稿日期：2023-10-22，
- 稿件说明：
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戚连刚, 张义权, 国强, 等. 一种提升均匀自由度的稀疏阵列设计[J]. 西安电子科技大学学报, 2024,51(4):67-77.

Liangang QI, Yiquan ZHANG, Qiang GUO, et al. Sparse array design for improving uniform degrees of freedom. [J]. Journal of Xidian University, 2024,51(4):67-77.
戚连刚, 张义权, 国强, 等. 一种提升均匀自由度的稀疏阵列设计[J]. 西安电子科技大学学报, 2024,51(4):67-77. DOI： 10.19665/j.issn1001-2400.20240307.

Liangang QI, Yiquan ZHANG, Qiang GUO, et al. Sparse array design for improving uniform degrees of freedom. [J]. Journal of Xidian University, 2024,51(4):67-77. DOI： 10.19665/j.issn1001-2400.20240307.

摘要

针对压缩阵元间距的互质阵列差分共阵存在孔洞、均匀自由度低导致欠定波达方向估计性能受限的问题

提出了一种改进的稀疏阵列设计。首先

通过分析阵列结构对差分共阵冗余性与孔洞位置的影响

得出调整压缩阵元间距的互质阵列的子阵列位置

能够有效地减少差分共阵的冗余

增加连续延迟

提高均匀自由度;其次

调整子阵列阵元位置

给出设计稀疏阵列物理阵元位置的闭式表达式;然后

根据阵元位置推导得到提出的稀疏阵列自由度、均匀自由度以及差分共阵孔洞位置的闭式表达式。理论分析表明

相同阵元数目时

相较于压缩阵元间距的互质阵列及其改进稀疏阵列

该稀疏阵列具有更高的自由度、均匀自由度。最后

利用基于空间平滑的多重信号分类算法

在多种场景下展开波达方向估计仿真实验。结果表明

提出的稀疏阵列在多种实验条件下均具有更优的波达方向估计性能

验证了该设计的有效性。

Abstract

An improved sparse array design is proposed to address the limitations of the underdetermined direction of arrival estimation performance caused by holes and low uniform degrees of freedom in the difference co-array of the coprime array with compressed inter-element spacing.First

by analyzing the influence of the array structure on the redundancy and hole position of the difference co-array

it is concluded that adjusting the subarray position of the coprime array with compressed inter-element spacing can effectively reduce the redundancy of the difference co-array

increase the consecutive lags

and improve the uniform degree of freedom.Second

the physical array element positions are adjusted and the closed-form expression for designing sparse array physical array element positions is provided.Then

based on the array element positions

the closed-form expressions for the proposed sparse array degrees of freedom

uniform degrees of freedom

and the difference co-array hole positions are derived.Theoretical analysis shows that

compared to the coprime array with compressed inter-element spacing and the improved sparse array

the proposed array possesses higher degrees of freedom and uniform degrees of freedom with the same number of elements.Finally

simulation experiments on the direction of arrival estimation are conducted in various scenarios using the multiple signal classification algorithm based on spatial smoothing.The results show that the proposed sparse array has a better direction of arrival estimation performance under various experimental conditions

thus verifying the effectiveness of the design.

关键词

互质阵列均匀自由度波达方向多重信号分类

Keywords

coprime arrayuniform degrees of freedomdirection of arrivalmultiple signal classification

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