基于有约束L1/2范数稀疏正则化的声源识别方法

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振动与冲击 ›› 2024, Vol. 43 ›› Issue (2) : 166-178.

论文

潘薇1,2，李远文2,3，冯道方1,2，黎敏1,2

作者信息 +

Sound source identification method based on constrained L 1/2 norm sparse regularization

PAN Wei1,2,LI Yuanwen2,3,FENG Daofang1,2,LI Min1,2

Author information +

文章历史 +

摘要

基于等效源法（Equivalent Source Method, ESM）的近场声全息（Near field acoustic holography, NAH）是一种有效的声源识别技术。然而，针对空间稀疏分布的声源识别问题，传统基于L2范数以及基于L1范数的ESM方法分别存在声源幅值被低估与算法稳定性差等问题。因此，提出了基于有约束L1/2范数稀疏正则化的声源识别方法，该方法具有强稀疏性与强抗干扰的优势，可以解决传统方法的声源识别精度低的问题。通过数值模拟实验以及普通室内的实测实验，验证了方法的有效性。

Abstract

Near field acoustic holography (NAH) based on equivalent source method (ESM) is an effective technology for sound source identification. However, for the identification of spatially sparse sound sources, the traditional ESM methods based on L2-norm and L1-norm have some problems, such as insufficient estimation of sound source amplitude or poor stability of the algorithm. Therefore, a sound source recognition method based on constrained L1/2-norm sparse regularization is proposed. This method has the advantages of strong sparsity and strong anti-interference, which can identify the sound sources more accurately than traditional methods. The numerical simulation experiments and ordinary indoor measured experiments demonstrated the validity of the proposed method.

导出引用

潘薇1,2，李远文2,3，冯道方1,2，黎敏1,2. 基于有约束L1/2范数稀疏正则化的声源识别方法[J]. 振动与冲击, 2024, 43(2): 166-178

PAN Wei1,2,LI Yuanwen2,3,FENG Daofang1,2,LI Min1,2. Sound source identification method based on constrained L 1/2 norm sparse regularization[J]. Journal of Vibration and Shock, 2024, 43(2): 166-178

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