针对近场声全息研究中声场重构时，指数滤波器无法兼顾通带衰减率和高频带衰减率的局限性，采用巴特沃斯滤波器作为滤波函数以消除噪声干扰，对2个同向振动的脉动球源的重构声场进行仿真研究，给出巴特沃斯滤波器随参数变化的特性曲线。基于重构误差最小原则，给出该滤波器的最优参数，并与指数滤波器效果进行对比。结果表明，巴特沃斯滤波器可在声场重构过程中进行有效滤波，且在高频段，巴特沃斯滤波器重建误差明显小于指数滤波器重建误差，滤波效果更好，重建精度更高。
In view of the limitation that the exponential filter cannot take into account both passband attenuation rate and high frequency attenuation rate when the sound field is reconstructed in the study of near-field acoustic holography, Butterworth filter is adopted as the filter function to eliminate the noise. The reconstructed sound field of two pulsating spherical sources with the same direction of vibration is simulated. The characteristic curve of Butterworth filter changing with the parameters is given. Based on the principle of minimum reconstruction error, the optimal parameters of the filter are given, and the filtering effect is compared with that of the exponential filter. The results show that Butterworth filter can effectively filter in the process of sound field reconstruction, and the reconstruction error of Butterworth filter is significantly smaller than that of exponential filter in high frequency band and its filtering effect is better and the reconstruction accuracy is higher.
2023,45(24): 160-165 收稿日期：2022-11-30
DOI：10.3404/j.issn.1672-7649.2023.24.029
分类号：TB532
基金项目：湖北省自然科学基金面上项目（2022CFB405）；国家自然科学基金青年科学基金资助项目（52201389）
作者简介：卢锦芳(1999-),女,博士研究生,研究方向为近场声全息
参考文献：
[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): 1395-413
[2] WILLIAMS E G, MAYNARD J D, SKUDRZYK E. Sound source reconstructions using a microphone array[J]. The Journal of the Acoustical Society of America, 1980, 68(1): 340-344
[3] WILLIAMS E G, FOURIER A. Sound radiation and nearfield acoustical holography[J]. Academic Press, 1999: 590.
[4] 于飞, 陈剑, 周广林, 等. 噪声源识别的近场声全息方法和数值仿真分析[J]. 振动工程学报, 2003, 16(3): 39-343.
YU F, CHEN J, ZHOU G L, et al. A study on noise sources identification using near field acoustic holography method and its numerical simulation analysis[J]. Journal of Vibration Engineering, 2003, 16(3): 39-343.
[5] VERONESI W A, MAYNARD J D. Near-field acoustic holography (NAH) II. holographic reconstruction algorithms and computer implementation[J]. The Journal of the Acoustical Society of America, 1987, 81(5): ;1307-22
[6] 赵晨, 冯丹平, 杨明明, 等. 平面近场声全息中指数滤波器窗函数设计优化[J]. 声学技术, 2021, 40(6): 723-727
ZHAO C, FENG D P, YANG M M, et al. Optimization of window function design of exponential filter in planar near-field acoustic holography[J]. Technical Acoustics, 2021, 40(6): 723-727
[7] 张德俊. 近场声全息对振动体及其辐射场的成像[J]. 物理学进展, 1996, 16(3/4): 614-623
ZHANG D J. Imaging for vibrating mode and radiation field of vibrating object using NAN[J]. Progress in Physics, 1996, 16(3/4): 614-623
[8] 罗禹贡, 郑四发, 杨殿阁, 等. 基于倏逝波衰减特性的空间频域滤波器研究[J]. 声学技术, 2004(1): 54-56+66.
LUO Y G, ZHENG S F, YANG D G, et al. K-space filter based on decaying characteristics of evanescent waves[J]. Technical Acoustics, 2004(1): 54-56+66.
[9] 何其伟, 许国良, 陈志敏, 等. 波数域循环加窗逼近法滤波方法研究[J]. 现代电子技术, 2015, 38(3): 64-67
HE Q W, XU G L, CHEN Z M, et al. K-space filtering by cyclically windowing approximation method[J]. Modern Electronics Technique, 2015, 38(3): 64-67
[10] 莫登沅, 周其斗, 谷高全, 等. 声全息重构中的滤波窗优化设计[J]. 海军工程大学报, 2017, 29(3): 109-112
MO D Y, ZHOU Q D, GU G Q, et al. Design of filtering window for acoustical holography[J]. Journal of Naval University of Engineering, 2017, 29(3): 109-112
[11] 黄波. 巴特沃斯数字滤波器的设计与仿真实现[J]. 河南科技, 2021, 40(36): 10-12
HUANG B. Design and simulation of butterworth digital filter[J]. Henan Science and Technology, 2021, 40(36): 10-12
[12] 肖锦龙. 巴特沃斯低通滤波器在图像增强中的应用研究[J]. 智能计算机与应用, 2021, 11(5): 179-182
XIAO J L. Application of Butterworth low pass filter in image enhancement[J]. Intelligent Computer and Application, 2021, 11(5): 179-182
[13] 陈心昭, 毕传兴, 等. 近场声全息技术及其应用[M]. 北京: 科学出版社, 2013.
[14] 刘凯悦. 复杂系统的解耦内模与事件触发故障补偿控制[D]. 北京: 北京化工大学2021.
