分部优化正则化在近场声全息技术中的应用
The application of regularization technique based on partial optimization in the nearfield acoustic holography
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摘要: 在基于等效源法近场声全息技术的基础上,对稳定重建过程不适定性的正则化技术进行深入研究。为改善正则化效果,综合考虑Tikhonov正则化和截断奇异值法,提出一种新的分部优化正则化技术。该技术兼取了两种方法的优点,比Tikhonov正则化稳定,避免了过滤波等正则化失效的情况;比截断奇异值法精度高,包含了更多的细节信息。通过对简支板的数值仿真,分别和Tikhonov正则化和截断奇异值法进行了比较,说明了本文所提方法稳定性较好和精度较高的优点。最后通过实验研究进一步证明了本文方法的有效性和正确性。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.