Sound field reconstruction using compressed modal equivalent point source method
Sound field reconstruction using compressed modal equivalent point source method
复制标题
压缩模态等效点源法声场重建
DOI：
10.1121/1.4973567
复制
发表时间：
2017-01-01
影响因子：
2.4
通讯作者：
Zhang, Yong-Bin
中科院分区：
文献类型：
--
作者：
Bi, Chuan-Xing;Liu, Yuan;Zhang, Yong-Bin
近场声全息（NAH）的精度、分辨率和经济成本高度依赖于空间采样点的数量。通常，更高的精度和分辨率需要更多的空间采样点，这可能会增加测量的工作量或硬件成本。压缩感知（Compressive Sensing，CS）能够利用信号的稀疏性来解决欠定问题，因此可以应用于NAH，减少空间采样点的数量，同时提供高分辨率的重建图像。基于压缩模态理论，提出了一种压缩模态等效点源法。该方法通过对功率阻抗矩阵进行特征分解得到稀疏基，对等效点源强度进行压缩，并利用“1-范数极小化”方法提高稀疏解的质量。数值模拟和实验结果均表明了CMESM的有效性，并显示了在减少空间采样点数量的情况下，其优于现有方法的优势。(C)2017年美国声学学会。
The accuracy, resolution, and economic cost of near-field acoustic holography (NAH) are highly dependent on the number of spatial sampling points. Generally, higher accuracy and resolution require more spatial sampling points, which may increase the workload of measurement or the hardware cost. Compressive sensing (CS) is able to solve the underdetermined problems by utilizing the sparsity of signals, and thus it can be applied to NAH to reduce the number of spatial sampling points but at the same time provide a high-resolution reconstruction image. Based on the CS theory, this paper proposes a compressed modal equivalent point source method (CMESM). In the method, a sparse basis that is obtained from the eigen-decomposition of the power resistance matrix is introduced to compress the equivalent point source strengths, and the '1-norm minimization is used to promote sparse solutions. Both numerical simulation and experimental results demonstrate the validity of the proposed CMESM and show its advantage over the existing methods when the number of spatial sampling points is reduced. (C) 2017 Acoustical Society of America.