2011Unpublished venueRequires access

The application of regularization technique based on partial optimization in the nearfield acoustic holography

Bin Xu

Open publisher page 1 citations

Abstract

The regularization technique for stabilizing the reconstruction based on the nearfield acoustic holography (NAH)is investigated on the basis of the equivalent source method.In order to obtain higher regularization effect, a new regularization method based on the idea of partial optimization is proposed,which inherits the advantages of Tikhonov and the other regularization method-truncated singular value decomposition(TSVD).Through the numerical simulation,it is proved that the proposed method is stabler than the Tikhonov,and more precise than the TSVD.Finally the validity and the feasibility of the proposed method are demonstrated by an experiment carried out in a semi-anechoic room with two speakers.

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What this paper is about

The regularization technique for stabilizing the reconstruction based on the nearfield acoustic holography (NAH)is investigated on the basis of the equivalent source method.In order to obtain higher regularization effect, a new regularization method based on the idea of partial optimization is proposed,which inherits the advantages of Tikhonov and the other regularization method-truncated singular value decomposition(TSVD).Through the numerical simulation,it is proved that the proposed method is stabler than the Tikhonov,and more precise than the TSVD.Finally the validity and the feasibility of the proposed method are demonstrated by an experiment carried out in a semi-anechoic room with two speakers.

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Available abstract

The regularization technique for stabilizing the reconstruction based on the nearfield acoustic holography (NAH)is investigated on the basis of the equivalent source method.In order to obtain higher regularization effect, a new regularization method based on the idea of partial optimization is proposed,which inherits the advantages of Tikhonov and the other regularization method-truncated singular value decomposition(TSVD).Through the numerical simulation,it is proved that the proposed method is stabler than the Tikhonov,and more precise than the TSVD.Finally the validity and the feasibility of the proposed method are demonstrated by an experiment carried out in a semi-anechoic room with two speakers.

Key concepts: Tikhonov regularization, Acoustic holography, Regularization (linguistics), Singular value decomposition, Mathematics, Applied mathematics, Inverse problem, Algorithm

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