A New Method for Determining Optimal Regularization Parameter in Near-Field Acoustic Holography
Tikhonov regularization method is effective in stabilizing reconstruction process of the near-field acoustic holography (NAH) based on the equivalent source method (ESM), and the selection of the optimal regularization parameter is a key problem that determines the regularization effect. In this wor...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2018/7303294 |
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| _version_ | 1832549497567182848 |
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| author | Yue Xiao |
| author_facet | Yue Xiao |
| author_sort | Yue Xiao |
| collection | DOAJ |
| description | Tikhonov regularization method is effective in stabilizing reconstruction process of the near-field acoustic holography (NAH) based on the equivalent source method (ESM), and the selection of the optimal regularization parameter is a key problem that determines the regularization effect. In this work, a new method for determining the optimal regularization parameter is proposed. The transfer matrix relating the source strengths of the equivalent sources to the measured pressures on the hologram surface is augmented by adding a fictitious point source with zero strength. The minimization of the norm of this fictitious point source strength is as the criterion for choosing the optimal regularization parameter since the reconstructed value should tend to zero. The original inverse problem in calculating the source strengths is converted into a univariate optimization problem which is solved by a one-dimensional search technique. Two numerical simulations with a point driven simply supported plate and a pulsating sphere are investigated to validate the performance of the proposed method by comparison with the L-curve method. The results demonstrate that the proposed method can determine the regularization parameter correctly and effectively for the reconstruction in NAH. |
| format | Article |
| id | doaj-art-34ea0ba709ff41618e00f716f8b6cba4 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-34ea0ba709ff41618e00f716f8b6cba42025-02-03T06:11:10ZengWileyShock and Vibration1070-96221875-92032018-01-01201810.1155/2018/73032947303294A New Method for Determining Optimal Regularization Parameter in Near-Field Acoustic HolographyYue Xiao0Jiangxi Province Key Laboratory of Precision Drive and Control, School of Mechanical and Electrical Engineering, Nanchang Institute of Technology, Nanchang, Jiangxi 330099, ChinaTikhonov regularization method is effective in stabilizing reconstruction process of the near-field acoustic holography (NAH) based on the equivalent source method (ESM), and the selection of the optimal regularization parameter is a key problem that determines the regularization effect. In this work, a new method for determining the optimal regularization parameter is proposed. The transfer matrix relating the source strengths of the equivalent sources to the measured pressures on the hologram surface is augmented by adding a fictitious point source with zero strength. The minimization of the norm of this fictitious point source strength is as the criterion for choosing the optimal regularization parameter since the reconstructed value should tend to zero. The original inverse problem in calculating the source strengths is converted into a univariate optimization problem which is solved by a one-dimensional search technique. Two numerical simulations with a point driven simply supported plate and a pulsating sphere are investigated to validate the performance of the proposed method by comparison with the L-curve method. The results demonstrate that the proposed method can determine the regularization parameter correctly and effectively for the reconstruction in NAH.http://dx.doi.org/10.1155/2018/7303294 |
| spellingShingle | Yue Xiao A New Method for Determining Optimal Regularization Parameter in Near-Field Acoustic Holography Shock and Vibration |
| title | A New Method for Determining Optimal Regularization Parameter in Near-Field Acoustic Holography |
| title_full | A New Method for Determining Optimal Regularization Parameter in Near-Field Acoustic Holography |
| title_fullStr | A New Method for Determining Optimal Regularization Parameter in Near-Field Acoustic Holography |
| title_full_unstemmed | A New Method for Determining Optimal Regularization Parameter in Near-Field Acoustic Holography |
| title_short | A New Method for Determining Optimal Regularization Parameter in Near-Field Acoustic Holography |
| title_sort | new method for determining optimal regularization parameter in near field acoustic holography |
| url | http://dx.doi.org/10.1155/2018/7303294 |
| work_keys_str_mv | AT yuexiao anewmethodfordeterminingoptimalregularizationparameterinnearfieldacousticholography AT yuexiao newmethodfordeterminingoptimalregularizationparameterinnearfieldacousticholography |