| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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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 |
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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.
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Received: 04 June 2022
Revised: 06 August 2022
Accepted manuscript online: 01 September 2022
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PACS:
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43.60.Sx
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(Acoustic holography)
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43.40.+s
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(Structural acoustics and vibration)
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43.60.Pt
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(Signal processing techniques for acoustic inverse problems)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61701133). |
Corresponding Authors:
Hao-Yang Zhang
E-mail: zhanghaoyang@hrbeu.edu.cn
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Cite this article:
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 2023 Chin. Phys. B 32 044302
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