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Conditioning of the Problem of Source Array Design with Inverse Approach

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An inverse approach based on the acoustical holography concept can be effectively applied to the acoustic field rendered for achieving a target sound field given as a relative response distribution of sound pressure. To implement this method, the source configuration should be determined a priori and a meaningful inverse solution of an ill-conditioned transfer matrix should be obtained. To choose efficient source positions which are almost mutually independent, the redundancy detection algorithm like the effective independence method was employed to decide the proper positions for a given number of sources. In this way, an efficient and stable filter set for a source array in controlling the sound field can be obtained. An interior domain with irregularly shaped boundaries was adopted as the target field to control for testing the suggested inverse method.

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