Page 175 - 《应用声学》2023年第2期

第 42 卷 第 2 期 Vol. 42, No. 2
2023 年 3 月 Journal of Applied Acoustics March, 2023

⋄ 研究报告 ⋄

压缩感知的远场亚波长声成像仿真 ∗

牟亚东 郁高坤 †

(中国海洋大学 青岛 266100)

摘要：压缩感知算法可以利用信号的稀疏性较好地分辨出两个相距较远的目标，但是当两个目标相距较近时
仅利用压缩感知算法，分辨性能较差；另外，当分辨目标为硬散射体时，由于偶极散射的影响，分辨性能也会变
得较差。考虑到上述两个问题，该文提出了以下解决方案：针对第一个问题，该文将声学超透镜和压缩感知算
法进行结合；针对第二个问题，该文提出在压缩感知算法中考虑偶极散射分量的影响。根据上述方案进行仿
真，仿真结果证明了在加入声超透镜并考虑偶极散射以后，硬散射体目标在相距较近时实现了较好的分辨率。
关键词：超分辨率；压缩感知算法；偶极散射；声学超透镜
中图法分类号: O424 文献标识码: A 文章编号: 1000-310X(2023)02-0363-09
DOI: 10.11684/j.issn.1000-310X.2023.02.020

Simulation of far-field subwavelength acoustic imaging based on
compressed sensing algorithm

MU Yadong YU Gaokun

(Ocean University of China, Qingdao 266100, China)

Abstract: The sparsity of the signal can be adopted by the compressed sensing algorithm to better distinguish
two well-separated targets, however, when the two targets are close, the imaging performance is degraded. In
addition, for the imaging of rigid scatterers, the resolution performance is also affected by the dipole scattering.
To overcome these two shortcomings, an acoustic superlens is introduced to improve the imaging performance
of compressed sensing algorithm, and the dipole scattering is considered by adding an extra sensing matrix.
Numerical simulations have been carried out to confirm the improvement of imaging performance.
Keywords: Super-resolution; Compressed sensing algorithm; Dipole scattering; Acoustic superlens

2022-01-27 收稿; 2022-03-28 定稿
国家自然科学基金项目 (11674293)
∗
作者简介: 牟亚东 (1996– ), 男, 河北衡水人, 硕士研究生, 研究方向: 声学。
† 通信作者 E-mail: gkyu@ouc.edu.cn