Estimation of acoustic source strength by inverse methods: Part II, experimental investigation of methods for choosing regularization parameters
Estimation of acoustic source strength by inverse methods: Part II, experimental investigation of methods for choosing regularization parameters
Two regularization methods, Tikhonov regularization and singular value discarding, are used to improve the accuracy of reconstruction of acoustic source strength by inverse techniques. In this paper, some methods are investigated for choosing the Tikhonov regularization parameter and the singular values to be discarded. Of these, we concentrate on the use of ordinary cross-validation and generalized cross-validation. These methods can provide an appropriate regularization parameter without prior knowledge of either the acoustic source strength or the contaminating measurement noise. Some experimental results obtained using a randomly vibrating simply supported plate mounted in a baffle are presented to illustrate the performance of the methods for choosing the regularization parameters.
665-701
Yoon, S. H.
0d1ab085-3ab2-4d59-aab8-8d0748043345
Nelson, P. A.
5c6f5cc9-ea52-4fe2-9edf-05d696b0c1a9
15 June 2000
Yoon, S. H.
0d1ab085-3ab2-4d59-aab8-8d0748043345
Nelson, P. A.
5c6f5cc9-ea52-4fe2-9edf-05d696b0c1a9
Yoon, S. H. and Nelson, P. A.
(2000)
Estimation of acoustic source strength by inverse methods: Part II, experimental investigation of methods for choosing regularization parameters.
Journal of Sound and Vibration, 233 (4), .
(doi:10.1006/jsvi.2000.2836).
Abstract
Two regularization methods, Tikhonov regularization and singular value discarding, are used to improve the accuracy of reconstruction of acoustic source strength by inverse techniques. In this paper, some methods are investigated for choosing the Tikhonov regularization parameter and the singular values to be discarded. Of these, we concentrate on the use of ordinary cross-validation and generalized cross-validation. These methods can provide an appropriate regularization parameter without prior knowledge of either the acoustic source strength or the contaminating measurement noise. Some experimental results obtained using a randomly vibrating simply supported plate mounted in a baffle are presented to illustrate the performance of the methods for choosing the regularization parameters.
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Published date: 15 June 2000
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Funding Information:
This research was "nancially supported by the Daewoo Motor Company, Korea.
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Copyright 2021 Elsevier B.V., All rights reserved.
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Local EPrints ID: 468694
URI: http://eprints.soton.ac.uk/id/eprint/468694
ISSN: 0022-460X
PURE UUID: 0b5a447a-7472-493a-ad0b-2f318f5bc572
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Date deposited: 23 Aug 2022 16:42
Last modified: 18 Mar 2024 02:31
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Author:
S. H. Yoon
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