西安电子科技大学学报 ›› 2024, Vol. 51 ›› Issue (4): 67-77.doi: 10.19665/j.issn1001-2400.20240307

• 信息与通信工程 • 上一篇    下一篇

一种提升均匀自由度的稀疏阵列设计

戚连刚1,2(), 张义权1,2(), 国强1,2(), 王亚妮1,2(), KALIUZHNYI Mykola1,3()   

  1. 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
  • 收稿日期:2023-10-22 出版日期:2024-08-20 发布日期:2024-03-21
  • 通讯作者: 王亚妮(1991—),女,哈尔滨工程大学博士研究生,E-mail:178655165@hrbeu.edu.cn
  • 作者简介:戚连刚(1990—),男,副教授,E-mail:qiliangang@hrbeu.edu.cn
    张义权(2000—),男,哈尔滨工程大学硕士研究生,E-mail:zhangyiquan@hrbeu.edu.cn
    国强(1972—),男,教授,E-mail:guoqiang@hrbeu.edu.cn
    KALIUZHNYI Mykola(1948—),男,教授,E-mail:knm1204@ukr.net
  • 基金资助:
    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)

Sparse array design for improving uniform degrees of freedom

QI Liangang1,2(), ZHANG Yiquan1,2(), GUO Qiang1,2(), WANG Yani1,2(), KALIUZHNYI Mykola1,3()   

  1. 1. College of Information and Communication Engineering,Harbin Engineering University,Harbin 150001,China
    2. Ministry of Industry and Information Technology Key Laboratory of Advanced Marine Communication and Information Technology,Harbin 150001,China
    3. Advanced Research Laboratory,Kharkiv National University of Radio Electronics,Kharkiv 61166,Ukraine
  • Received:2023-10-22 Online:2024-08-20 Published:2024-03-21

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。

关键词: 互质阵列, 均匀自由度, 波达方向, 多重信号分类

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.

Key words: coprime array, uniform degrees of freedom, direction of arrival, multiple signal classification

中图分类号: 

  • TN911.72