Education, Science, Technology, Innovation and Life
Open Access
Sign In

Acoustic field separation with 2-layer microphone array

Download as PDF

DOI: 10.23977/jeis.2023.080209 | Downloads: 12 | Views: 491


Yongliang Chen 1, Jie Shi 1, Haiyang Zhai 1, Yulai Song 1


1 College of Information Science and Engineering, Jiaxing University, Jiaxing, China

Corresponding Author

Yulai Song


Interference noise seriously affects the recognition accuracy of the target acoustic field. To reconstruct acoustic field of the target sources in non-free acoustic field, a method of acoustic feild separation and reconstruction with 2-layer microphone array is presented. Wtih this method, spherical harmonics in different orders are superposed to describe acoustic pressure distribution for different sound sources, respectively. The coefficient vectors are obtained by matching the measured pressure with the mathematical model. As the coefficient vectors are not changed with the position of measurement planes, once these coefficients are specified, the acoustic pressure of the target sources are determined. The methodology is examined numerically in the acoustic field with two transversely oscillating rigid sphere. The results show that, when two sound sources on the both sides of the measurement arrays, the error of acoustic field separation is 7.36% for the frequency, this method can improve the accuracy of acoustic field recognition.


Acoustic field separation; 2-layer microphone array; Spherical waves superposition


Yongliang Chen, Jie Shi, Haiyang Zhai, Yulai Song, Acoustic field separation with 2-layer microphone array. Journal of Electronics and Information Science (2023) Vol. 8: 50-56. DOI:


[1] Elias Z., Ines L. A. (2019). Sound field separation for planar sources facing a parallel reflector. Applied Acoustics, 149, 181-191.
[2] Hai L., Hao Z., Xin H., Zhiguo K., Jin Y., Yongxi Y. (2022). Research on noise source separation and sound quality prediction for electric powertrain.  Applied Acoustics, 199, 109034.
[3] Yinggang P., Guangxue Z., Hailin G., Dingkun Y., Yun C., Lintao W., Huihui Y., Chengyu L. (2022). Flow and sound field characteristics of a Hartmann whistle with flow-sound-separation feature. Applied Acoustics, 201, 109103.
[4] Bi C.X., Bolton J.S., (2012). An equivalent source technique for recovering the free sound field in a noisy environment. Journal of the Acoustical Society of America, 131, 2, 1260-1270.
[5] Jacobsen F., Jaud V., (2007). Statistically optimized near field acoustic holography using an array of pressure-velocity probes.The Journal of the Acoustical Society of America, 121, 1550-1558.
[6] Zhang Y. B., Chen X. Z., Jacobsen F., (2009). A sound field separation technique based on measurements with pressure-velocity probes. Journal of the Acoustical Society of America, 125, 6, 3518-3521.
[7] Langrenne C., Melon M., Garcia A. (2007). Boundary element method for the acoustic characterization of a machine in bounded noisy environment. The Journal of the Acoustical Society of America, 121, 5, 2750-7.
[8] Langrenne C., Melon M., Garcia A. (2009). Measurement of confined acoustic sources using near-field acoustic holography. Journal of the Acoustical Society of America, 126, 3, 1250-1256.
[9] Wand Z., Wu S. F. (1997). Helmholtz equation–least-squares method for reconstructing the acoustic pressure field. The Journal of the Acoustical Society of America, 102, 4, 2020-2032.
[10] Wu S. F. (2000). On reconstruction of acoustic pressure fields using the Helmholtz equation least squares method. The Journal of the Acoustical Society of America, 107, 5, 2511-2522.
[11] Wu S. F., Rayess N., Zhao X. (2001). Visualization of acoustic radiation from a vibrating bowling ball. Journal of the Acoustical Society of America, 109, 6, 2771-2779. 
[12] Moondra M. S., Wu S. F. (2005). Visualization of vehicle interior sound field using Near Field Acoustical Holography based on the Helmholtz-Equation Least-Squares (HELS). Method. Noise Control Engineering, 53, 146-154.

Downloads: 8294
Visits: 280053

Sponsors, Associates, and Links

All published work is licensed under a Creative Commons Attribution 4.0 International License.

Copyright © 2016 - 2031 Clausius Scientific Press Inc. All Rights Reserved.