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Chin. Phys. B, 2023, Vol. 32(4): 044302    DOI: 10.1088/1674-1056/ac8e55
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

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
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.
Keywords:  sound field reconstruction      nearfield acoustic holography      element radiation superposition method      sparsity framework  
Received:  04 June 2022      Revised:  06 August 2022      Accepted manuscript online:  01 September 2022
PACS:  43.60.Sx (Acoustic holography)  
  43.40.+s (Structural acoustics and vibration)  
  43.60.Pt (Signal processing techniques for acoustic inverse problems)  
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

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

[1] Williams E G, Maynard J D and Skudrzyk E 1980 J. Acoust. Soc. Am. 68 340
[2] Wu S F 2008 J. Acoust. Soc. Am. 124 2680
[3] Dong B C, Zhang R M, Yuan B and Yu C Y 2022 Chin. Phys. B 31 024303
[4] Bai M R 1992 J. Acoust. Soc. Am. 92 533
[5] Valdivia N P and Williams E G 2006 J. Acoust. Soc. Am. 120 3694
[6] Chen M Y, Shang D J, Li Q and Liu Y W 2011 Acta Acustica 36 489 (in Chinese)
[7] Koopmann G H, Song L and Fahnline J 1989 J. Acoust. Soc. Am. 86 2433
[8] Zhang X Z, Bi C X, Xu L and Chen X Z 2010 Acta Phys. Sin. 59 5564 (in Chinese)
[9] Wu S F and Zhao X 2002 J. Acoust. Soc. Am. 112 179
[10] Semenova T and Wu S F 2005 J. Acoust. Soc. Am. 117 701
[11] Sarkissian A 2005 J. Acoust. Soc. Am. 118 671
[12] Zhang Y B, Bi C X, Chen J and Chen X Z 2007 Acta Acustica 32 489 (in Chinese)
[13] Bi C X, Hu D Y, Zhang Y B and Xu L 2013 Acta Phys. Sin. 62 084301 (in Chinese)
[14] Bai M R, Chen C C and Lin J H 2011 J. Acoust. Soc. Am. 129 1407
[15] Chelliah K, Raman G G and Muehleisen R T 2016 J. Acoust. Soc. Am. 140 114
[16] Wang B, Tang W L and Fan J 2008 Acta Acustica 33 226 (in Chinese)
[17] Shi S G, Gao Y, Zhang H Y and Yang B Q 2021 Acta Phys. Sin. 70 134301 (in Chinese)
[18] Chardon G, Daudet L, Peillot A, Ollivier F, Bertin N and Gribonval R 2012 J. Acoust. Soc. Am. 132 1521
[19] Fernandez G E, Xenaki A and Gerstoft P 2017 J. Acoust. Soc. Am. 141 532
[20] Fernandez G E and Daudet L 2018 J. Acoust. Soc. Am. 143 3737
[21] Bi C X, Liu Y, Xu L and Zhang Y B 2017 J. Acoust. Soc. Am. 141 73
[22] Bi C X, Liu Y, Zhang Y B and Xu L 2019 J. Acoust. Soc. Am. 145 3154
[23] Hu D Y, Li H B, Hu Y and Fang Y 2018 Mech. Sys. Sig. Proc. 108 317
[24] Hald J 2020 J. Acoust. Soc. Am. 147 2211
[25] Ocheltree K B and Frizzel L A 1989 IEEE Trans. Ultrason. Ferroelectr. Freq. Control. 36 242
[26] Antoni J 2012 J. Acoust. Soc. Am. 131 2873
[27] Grant M and Boyd S 2011 CVX: Matlab software for disciplined convex programming, version 1.21 http://cvxr.com/cvx
[28] Pati Y C, Rezaiifar R and Krishnaprasad P S 1993 Proceedings of the 27th Annual Asilomar Conference on Signals, Systems, and Computers, November 1-3, 1993, Pacific Grove, CA, USA, p. 40
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