Conical Statistical Optimal Near-Field Acoustic Holography with Combined Regularization
| Autor: | Chao Song, Xuefeng Chen, Yilong Liu, Muhammad Mubashir Ahsan, Wei Cheng, Zelin Nie, Ni Jinglei |
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| Rok vydání: | 2021 |
| Předmět: |
Physics
conical statistical optimal near-field acoustic holography (SONAH) Chemical technology Mathematical analysis TP1-1185 Conical surface Acoustic holography Biochemistry Regularization (mathematics) Article Atomic and Molecular Physics and Optics Analytical Chemistry Tikhonov regularization combined regularization method Noise Superposition principle noise monitoring and control sound field reconstruction Singular value decomposition truncated singular value decomposition Electrical and Electronic Engineering Sound pressure Instrumentation |
| Zdroj: | Sensors, Vol 21, Iss 7150, p 7150 (2021) Sensors Volume 21 Issue 21 Sensors (Basel, Switzerland) |
| ISSN: | 1424-8220 |
| DOI: | 10.3390/s21217150 |
| Popis: | For the sound field reconstruction of large conical surfaces, current statistical optimal near-field acoustic holography (SONAH) methods have relatively poor applicability and low accuracy. To overcome this problem, conical SONAH based on cylindrical SONAH is proposed in this paper. Firstly, elementary cylindrical waves are transformed into those suitable for the radiated sound field of the conical surface through cylinder-cone coordinates transformation, which forms the matrix of characteristic elementary waves in the conical spatial domain. Secondly, the sound pressure is expressed as the superposition of those characteristic elementary waves, and the superposition coefficients are solved according to the principle of superposition of wave field. Finally, the reconstructed conical pressure is expressed as a linear superposition of the holographic conical pressure. Furthermore, to overcome ill-posed problems, a regularization method combining truncated singular value decomposition (TSVD) and Tikhonov regularization is proposed. Large singular values before the truncation point of TSVD are not processed and remaining small singular values representing high-frequency noise are modified by Tikhonov regularization. Numerical and experimental case studies are carried out to validate the effectiveness of the proposed conical SONAH and the combined regularization method, which can provide reliable evidence for noise monitoring and control of mechanical systems. |
| Databáze: | OpenAIRE |
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