基于共同稀疏贝叶斯学习的多频等效源近场声全息方法

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摘要现有基于压缩感知的等效源近场声全息方法通常采用基于单频处理的单测量向量模型进行声场重建，此模型存在噪声鲁棒性较差以及重建精度不足的问题。实际中噪声源往往具有宽频特征，同一位置处不同频率的等效源源强聚集从而呈现共同稀疏特性，若充分利用源强的共同稀疏特性，可以改善重建性能。因此，本文提出一种基于共同稀疏贝叶斯学习的多频等效源近场声全息方法。在该方法中，首先采用多频协同处理，构建多频等效源近场声全息模型；然后为等效源源强施加共同稀疏约束，并使用共同稀疏贝叶斯学习方法求解等效源源强。与单频等效源近场声全息方法相比，所提方法可以获得更高的重建精度和更好的噪声鲁棒性。论文通过单极子声源仿真和小音箱实验验证了所提方法的优越性。

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	张凤敏
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	毕传兴

关键词 ：近场声全息, 等效源方法, 共同稀疏贝叶斯学习, 多频处理

Abstract：Most of the current compressive sensing-based equivalent source method for near-field acoustic holography utilizes a single measurement vector model with single frequency processing for sound field reconstruction, but this model usually suffers from poor noise robustness and insufficient reconstruction accuracy. In fact, noise sources often have broadband characteristics, and the equivalent source strengths of different frequencies at the same location are grouped together to exhibit joint sparse characteristics, which can improve the reconstruction performance if the joint sparse characteristics of the source strengths are fully utilized. Therefore, the near-field acoustic holography based on multi-frequency jointly-sparse Bayesian learning equivalent source method is proposed in this paper. In this method, a near-field acoustic holographic model based on multi-frequency equivalent source method is first constructed using multi-frequency co-processing, then the joint sparse constraint is imposed on the equivalent source strengths and they are solved by the jointly-sparse Bayesian learning method. Compared with the conventional near-field acoustic holography based on single-frequency equivalent source method, the proposed method can obtain higher reconstruction accuracy and better noise robustness. The superiority of the proposed method is verified by simulations of monopole sources and an experiment of two small speakers.

Key words： Near-field acoustic holography equivalent source method jointly-sparse Bayesian learning multi-frequency processing

收稿日期: 2023-04-10 出版日期: 2024-03-15

引用本文:

张凤敏，张小正，周蓉，张永斌，毕传兴. 基于共同稀疏贝叶斯学习的多频等效源近场声全息方法[J]. 振动与冲击, 2024, 43(5): 260-267.
ZHANG Fengmin,ZHANG Xiaozheng,ZHOU Rong,ZHANG Yongbin,BI Chuanxing. Multi-frequency equivalent source near-field acoustic holography method based on common sparse Bayesian learning. JOURNAL OF VIBRATION AND SHOCK, 2024, 43(5): 260-267.

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http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2024/V43/I5/260

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