Improvement of Near-field Reconstruction Accuracy of Plate Using Compressed Sensing Equivalent Source Method
-
摘要: 为改进目前板件压缩感知等效源法近场声全息中存在的稀疏基稀疏度不足、适用范围小等问题，提出一种优化等效源面范围的方法。使用板件振动模态与声辐射模态对板件倏逝波分布区域进行联合研究。利用板件振动模态得到高波数倏逝波分布情况，结合声辐射模态得到等效源向量在波数域分布情况，提出减小等效源范围从而达到过滤高波数倏逝波，减小重建误差的效果。数值模拟实验结果表明，该方法增加了等效源向量的稀疏度，对重建精度有大幅度的改善作用，扩大了压缩感知等效源法的使用范围。Abstract: In order to improve the existing problems in the compressed sensing equivalent source method for plates nearfield acoustic holography such as insufficient sparsity, small scope of application, a method of optimizing the range of equivalent source surface to filter the high wavenumber evanescent wave is proposed and the reconstruction error reduces. In this method, the plate vibration mode and the acoustic radiation mode are used to study the evanescent wave distribution area of the plate. The high wavenumber evanescent wave distribution is obtained by using the plate vibration mode, and the distribution of the equivalent source vector in the wavenumber domain is obtained by the acoustic radiation mode. The numerical simulation experimental results show that the present method increases the sparsity of the equivalent source vector, improves the reconstruction accuracy greatly and expands the application scope of compressed equivalent source method.
-
[1] MAYNARD J D, WILLIAMS E G, LEE Y. Nearfield acoustic holography:I Theory of generalized holography and the development of NAH[J]. The Journal of the Acoustical Society of America, 1985, 78(4): 1395-1413. doi: 10.1121/1.392911 [2] PASQUAL A M. A patch near-field acoustical holography procedure based on a generalized discrete Fourier series[J]. Mechanical Systems and Signal Processing, 2017, 90: 285-297. doi: 10.1016/j.ymssp.2016.12.035 [3] BI C X, LIU Y, ZHANG Y B, et al. Sound field reconstruction using inverse boundary element method and sparse regularization[J]. The Journal of the Acoustical Society of America, 2019, 145(5): 3154-3162. doi: 10.1121/1.5109393 [4] HE Y S, CHEN L S, XU Z M, et al. A compressed equivalent source method based on equivalent redundant dictionary for sound field reconstruction[J]. Applied Sciences, 2019, 9(4): 808. doi: 10.3390/app9040808 [5] GENG L, ZHANG X Z, BI C X. Reconstruction of transient vibration and sound radiation of an impacted plate using time domain plane wave superposition method[J]. Journal of Sound and Vibration, 2015, 344: 114-125. doi: 10.1016/j.jsv.2015.01.046 [6] 石梓玉, 向宇, 陆静, 等. 一种提高声场重构稳定性的射线等效源法[J]. 广西科技大学学报, 2019, 30(3): 1-7. doi: 10.16375/j.cnki.cn45-1395/t.2019.03.001SHI Z Y, XIANG Y, LU J, et al. A ray equivalent source method for improving the stability of acoustic field reconstruction[J]. Journal of GuangXi University of Science and Technology, 2019, 30(3): 1-7. (in Chinese) doi: 10.16375/j.cnki.cn45-1395/t.2019.03.001 [7] 刘超, 汪元美. 超声逆散射图象重建问题中截断奇异值分解正则化方法研究[J]. 中国图象图形学报, 2003, 8(10): 1146-1152. doi: 10.11834/jig.2003010408LIU C, WANG Y M. The study on truncated singular value decomposition method in ultrasound inverse scattering image reconstruction[J]. Journal of Image and Graphics, 2003, 8(10): 1146-1152. (in Chinese) doi: 10.11834/jig.2003010408 [8] WANG Y M, CHEW W C. An iterative solution of the two-dimensional electromagnetic inverse scattering problem[J]. International Journal of Imaging Systems and Technology, 1989, 1(1): 100-108. doi: 10.1002/ima.1850010111 [9] 胡定玉, 刘馨悦, 李曷冰, 等. 采用稀疏测量的高分辨率相干声场分离[J]. 声学学报, 2020, 45(4): 563-570. doi: 10.15949/j.cnki.0371-0025.2020.04.013HU D Y, LIU X Y, LI H B, et al. High-resolution separation of coherent sound field with sparse measurements[J]. Acta Acustica, 2020, 45(4): 563-570. (in Chinese) doi: 10.15949/j.cnki.0371-0025.2020.04.013 [10] 程涛, 吴小龙, 杨明. 基于离散余弦变换的单像素相机测量矩阵的性能评估[J]. 探测与控制学报, 2021, 43(2): 81-85.CHENG T, WU X L, YANG M. Single pixel camera measurement matrices performance evaluation based on discrete Cosine transform[J]. Journal of Detection & Control, 2021, 43(2): 81-85. (in Chinese) [11] CHARDON G, DAUDET L, PEILLOT A, et al. Near-field acoustic holography using sparse regularization and compressive sampling principles[J]. The Journal of the Acoustical Society of America, 2012, 132(3): 1521-1534. doi: 10.1121/1.4740476 [12] FERNANDEZ-GRANDE E, XENAKI A, GERSTOFT P. A sparse equivalent source method for near-field acoustic holography[J]. The Journal of the Acoustical Society of America, 2017, 141(1): 532-542. doi: 10.1121/1.4974047 [13] BI C X, LIU Y, XU L, et al. Sound field reconstruction using compressed modal equivalent point source method[J]. The Journal of the Acoustical Society of America, 2017, 141(1): 73-79. doi: 10.1121/1.4973567 [14] HU D Y, LI H B, HU Y, et al. Sound field reconstruction with sparse sampling and the equivalent source method[J]. Mechanical Systems and Signal Processing, 2018, 108: 317-325. doi: 10.1016/j.ymssp.2018.02.031 [15] HALD J. A comparison of compressive equivalent source methods for distributed sources[J]. The Journal of the Acoustical Society of America, 2020, 147(4): 2211-2221. doi: 10.1121/10.0001073 [16] HALD J. A comparison of iterative sparse equivalent source methods for near-field acoustical holography[J]. The Journal of the Acoustical Society of America, 2018, 143(6): 3758-3769. doi: 10.1121/1.5042223 [17] 聂永发, 朱海潮, 毛荣富. 结构声辐射的源强声辐射模态分析方法[J]. 噪声与振动控制, 2014, 34(5): 1-5. doi: 10.3969/j.issn.1006-1335.2014.05.001NIE Y F, ZHU H C, MAO R F. Mode analysis method for structure′s sound radiation analysis based on source intensity acoustic radiation modes[J]. Noise and Vibration Control, 2014, 34(5): 1-5. (in Chinese) doi: 10.3969/j.issn.1006-1335.2014.05.001 -
下载:
点击查看大图
图(10)
计量
- 文章访问数: 91
- HTML全文浏览量: 50
- PDF下载量: 10
- 被引次数: 0
