Robust reconstruction of equivalent source method based near-field acoustic holography using an alternative regularization parameter determination approach
Dayi Tan, Zhigang Chu, Wu Guijiao
Abstract
Dayi Tan, Zhigang Chu, Wu Guijiao
Abstract
The core of equivalent source method based near-field acoustic holography is to solve the equivalent source strength with the measured pressure and the transfer matrix, which is a typical ill-posed inverse problem. In this work, an explicit formula is proposed in which the regularization parameter is proportional to the product of the hologram distance and the maximum singular value of the transfer matrix. Utilizing the proposed approach, robust acoustic field reconstruction can be achieved even when the hologram distance is 5 times larger than the average microphone spacing.
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The core of equivalent source method based near-field acoustic holography is to solve the equivalent source strength with the measured pressure and the transfer matrix, which is a typical ill-posed inverse problem. In this work, an explicit formula is proposed in which the regularization parameter is proportional to the product of the hologram distance and the maximum singular value of the transfer matrix. Utilizing the proposed approach, robust acoustic field reconstruction can be achieved even when the hologram distance is 5 times larger than the average microphone spacing.
Key concepts: Acoustic holography, Regularization (linguistics), Transfer matrix, Holography, Microphone, Inverse, Inverse problem, Singular value