Extension of sound field reconstruction based on element radiation superposition method in a sparsity framework

doi:10.1088/1674-1056/ac8e55

中国物理B ›› 2023, Vol. 32 ›› Issue (4): 44302-044302.doi: 10.1088/1674-1056/ac8e55

Extension of sound field reconstruction based on element radiation superposition method in a sparsity framework

Yuan Gao(高塬)³, Bo-Quan Yang(杨博全)^1,2,3, Sheng-Guo Shi(时胜国)³, and Hao-Yang Zhang(张昊阳)^1,2,3,†

1 National Key Laboratory of Underwater Acoustic Technology, Harbin Engineering University, Harbin 150001, China;
2 Key Laboratory of Marine Information Acquisition and Security(Harbin Engineering University), Ministry of Industry and Information Technology, Harbin 150001, China;
3 College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001, China

收稿日期:2022-06-04 修回日期:2022-08-06 接受日期:2022-09-01 出版日期:2023-03-10 发布日期:2023-04-04
通讯作者: Hao-Yang Zhang E-mail:zhanghaoyang@hrbeu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 61701133).

Extension of sound field reconstruction based on element radiation superposition method in a sparsity framework

Yuan Gao(高塬)³, Bo-Quan Yang(杨博全)^1,2,3, Sheng-Guo Shi(时胜国)³, and Hao-Yang Zhang(张昊阳)^1,2,3,†

1 National Key Laboratory of Underwater Acoustic Technology, Harbin Engineering University, Harbin 150001, China;
2 Key Laboratory of Marine Information Acquisition and Security(Harbin Engineering University), Ministry of Industry and Information Technology, Harbin 150001, China;
3 College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001, China

Received:2022-06-04 Revised:2022-08-06 Accepted:2022-09-01 Online:2023-03-10 Published:2023-04-04
Contact: Hao-Yang Zhang E-mail:zhanghaoyang@hrbeu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 61701133).

摘要/Abstract

摘要： Nearfield acoustic holography (NAH) is a powerful tool for realizing source identification and sound field reconstruction. The wave superposition (WS)-based NAH is appropriate for the spatially extended sources and does not require the complex numerical integrals. Equivalent source method (ESM), as a classical WS approach, is widely used due to its simplicity and efficiency. In the ESM, a virtual source surface is introduced, on which the virtual point sources are taken as the assumed sources, and an optimal retreat distance needs to be considered. A newly proposed WS-based approach, the element radiation superposition method (ERSM), uses piston surface source as the assumed source with no need to choose a virtual source surface. To satisfy the application conditions of piston pressure formula, the sizes of pistons are assumed to be as small as possible, which results in a large number of pistons and sampling points. In this paper, transfer matrix modes (TMMs), which are composed of the singular vectors of the vibro-acoustic transfer matrix, are used as the sparse basis of piston normal velocities. Then, the compressive ERSM based on TMMs is proposed. Compared with the conventional ERSM, the proposed method maintains a good pressure reconstruction when the number of sampling points and pistons are both reduced. Besides, the proposed method is compared with the compressive ESM in a mathematical sense. Both simulations and experiments for a rectangular plate demonstrate the advantage of the proposed method over the existing methods.

关键词: sound field reconstruction, nearfield acoustic holography, element radiation superposition method, sparsity framework

Abstract: Nearfield acoustic holography (NAH) is a powerful tool for realizing source identification and sound field reconstruction. The wave superposition (WS)-based NAH is appropriate for the spatially extended sources and does not require the complex numerical integrals. Equivalent source method (ESM), as a classical WS approach, is widely used due to its simplicity and efficiency. In the ESM, a virtual source surface is introduced, on which the virtual point sources are taken as the assumed sources, and an optimal retreat distance needs to be considered. A newly proposed WS-based approach, the element radiation superposition method (ERSM), uses piston surface source as the assumed source with no need to choose a virtual source surface. To satisfy the application conditions of piston pressure formula, the sizes of pistons are assumed to be as small as possible, which results in a large number of pistons and sampling points. In this paper, transfer matrix modes (TMMs), which are composed of the singular vectors of the vibro-acoustic transfer matrix, are used as the sparse basis of piston normal velocities. Then, the compressive ERSM based on TMMs is proposed. Compared with the conventional ERSM, the proposed method maintains a good pressure reconstruction when the number of sampling points and pistons are both reduced. Besides, the proposed method is compared with the compressive ESM in a mathematical sense. Both simulations and experiments for a rectangular plate demonstrate the advantage of the proposed method over the existing methods.

Key words: sound field reconstruction, nearfield acoustic holography, element radiation superposition method, sparsity framework

中图分类号: (Acoustic holography)

43.60.Sx

43.40.+s (Structural acoustics and vibration) 43.60.Pt (Signal processing techniques for acoustic inverse problems)

Yuan Gao(高塬), Bo-Quan Yang(杨博全), Sheng-Guo Shi(时胜国), and Hao-Yang Zhang(张昊阳). Extension of sound field reconstruction based on element radiation superposition method in a sparsity framework[J]. 中国物理B, 2023, 32(4): 44302-044302.

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Extension of sound field reconstruction based on element radiation superposition method in a sparsity framework

Extension of sound field reconstruction based on element radiation superposition method in a sparsity framework

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