Achieving 3D Beamforming by Non-Synchronous Microphone Array Measurements

Beamforming technology is an essential method in acoustic imaging or reconstruction, which has been widely used in sound source localization and noise reduction. The beamforming algorithm can be described as all microphones in a plane simultaneously recording the source signal. The source position is then localized by maximizing the result of the beamformer. Evidence has shown that the accuracy of the sound source localization in a 2D plane can be improved by the non-synchronous measurements of moving the microphone array. In this paper, non-synchronous measurements are applied to 3D beamforming, in which the measurement array envelops the 3D sound source space to improve the resolution of the 3D space. The entire radiated object is covered better by a virtualized large or high-density microphone array, and the range of beamforming frequency is also expanded. The 3D imaging results are achieved in different ways: the conventional beamforming with a planar array, the non-synchronous measurements with orthogonal moving arrays, and the non-synchronous measurements with non-orthogonal moving arrays. The imaging results of the non-synchronous measurements are compared with the synchronous measurements and analyzed in detail. The number of microphones required for measurement is reduced compared with the synchronous measurement. The non-synchronous measurements with non-orthogonal moving arrays also have a good resolution in 3D source localization. The proposed approach is validated with a simulation and experiment.

[1]  Sean F. Wu,et al.  Helmholtz equation-least-squares method for reconstructing the acoustic pressure field , 1997 .

[2]  Ennes Sarradj,et al.  Three-Dimensional Acoustic Source Mapping with Different Beamforming Steering Vector Formulations , 2012 .

[3]  Jérôme Antoni,et al.  ON THE DENOISING OF CROSS-SPECTRAL MATRICES FOR (AERO)ACOUSTIC APPLICATIONS , 2018 .

[4]  Per Christian Hansen,et al.  Sound source reconstruction using inverse boundary element calculations. , 2003, The Journal of the Acoustical Society of America.

[5]  Fangli Ning,et al.  Three-dimensional acoustic imaging with planar microphone arrays and compressive sensing , 2016 .

[6]  J. Antoni,et al.  Reconstruction of sound quadratic properties from non-synchronous measurements with insufficient or without references: Proof of concept , 2015 .

[7]  J. D. Maynard,et al.  Nearfield acoustic holography: I. Theory of generalized holography and the development of NAH , 1985 .

[8]  Yang Yang,et al.  Wideband holography based spherical equivalent source method with rigid spherical arrays , 2018, Mechanical Systems and Signal Processing.

[9]  Thomas F. Brooks,et al.  Three-Dimensional Application of Damas Methodology for Aeroacoustic Noise Source Definition , 2013 .

[10]  D. F. Comesaña,et al.  Near-field acoustic holography with three-dimensional scanning measurements , 2019, Journal of Sound and Vibration.

[11]  Zhigang Chu,et al.  Robust reconstruction of equivalent source method based near-field acoustic holography using an alternative regularization parameter determination approach. , 2019, The Journal of the Acoustical Society of America.

[12]  P. Chiariotti,et al.  BeBeC-2018-S 04 INVERSE METHODS FOR THREE-DIMENSIONAL ACOUSTIC MAPPING WITH A SINGLE PLANAR ARRAY , 2018 .

[13]  Quan Sun,et al.  Localization of Two Sound Sources Based on Compressed Matched Field Processing with a Short Hydrophone Array in the Deep Ocean , 2019, Sensors.

[14]  Finn Jacobsen,et al.  Improving the resolution of three-dimensional acoustic imaging with planar phased arrays , 2012 .

[15]  Jorgen Hald,et al.  Near-field Acoustical Holography without the Errors and Limitations Caused by the Use of Spatial DFT , 2001 .

[16]  Jérôme Antoni,et al.  Fast iteration algorithms for implementing the acoustic beamforming of non-synchronous measurements , 2019 .

[17]  Con J. Doolan,et al.  Three-dimensional beamforming of dipolar aeroacoustic sources , 2015 .

[18]  C. Bailly,et al.  A unified formalism for acoustic imaging based on microphone array measurements , 2017 .

[19]  Peter Gerstoft,et al.  Three-dimensional source localization using sparse Bayesian learning on a spherical microphone array. , 2020, The Journal of the Acoustical Society of America.

[20]  Philip A. Nelson,et al.  Optimal regularisation for acoustic source reconstruction by inverse methods , 2004 .

[21]  R. O. Schmidt,et al.  Multiple emitter location and signal Parameter estimation , 1986 .

[22]  Mathew Legg,et al.  Comparison of CLEAN-SC for 2D and 3D Scanning Surfaces , 2012 .

[23]  Henri Siller,et al.  Fly-over Source Localisation on a Boeing 747-400 , 2010 .

[24]  J. Antoni,et al.  Spectral matrix completion by Cyclic Projection and application to sound source reconstruction from non-synchronous measurements , 2016 .

[25]  J. Hald Basic theory and properties of statistically optimized near-field acoustical holography. , 2009, The Journal of the Acoustical Society of America.

[26]  Liang Yu,et al.  A High-Resolution and Low-Frequency Acoustic Beamforming Based on Bayesian Inference and Non-Synchronous Measurements , 2020, IEEE Access.

[27]  Ding-Yu Hu,et al.  Identification of active sources inside cavities using the equivalent source method-based free-field recovery technique , 2015 .

[28]  Jérôme Antoni,et al.  Sparse acoustical holography from iterated Bayesian focusing , 2019, Journal of Sound and Vibration.

[29]  Zhigang Chu,et al.  Deconvolution for three-dimensional acoustic source identification based on spherical harmonics beamforming , 2015 .

[30]  Mingsian R. Bai,et al.  Application of BEM (boundary element method)‐based acoustic holography to radiation analysis of sound sources with arbitrarily shaped geometries , 1992 .

[31]  He Yan-song Identification of truck noise sources under passby condition based on wave beamforming method , 2012 .

[32]  J. Antoni,et al.  Acoustical source reconstruction from non-synchronous sequential measurements by Fast Iterative Shrinkage Thresholding Algorithm , 2015 .

[33]  Guozhong Chai,et al.  Localization and identification of three-dimensional sound source with beamforming based acoustic tomography , 2013 .

[34]  Jérôme Antoni,et al.  The acoustic inverse problem in the framework of alternating direction method of multipliers , 2021 .

[35]  Thomas Padois,et al.  Two and Three-Dimensional Sound Source Localization with Beamforming and Several Deconvolution Techniques , 2017 .

[36]  Thomas Padois,et al.  3D Source localization in a closed wind-tunnel using microphone arrays , 2013 .

[37]  Ning Chu Bayesian approach in acoustic source localization and imaging , 2013 .

[38]  Anthony Choi,et al.  Parametric Estimations Based on Homomorphic Deconvolution for Time of Flight in Sound Source Localization System , 2020, Sensors.

[39]  Chuan-Xing Bi,et al.  Sound field reconstruction using compressed modal equivalent point source method. , 2017, The Journal of the Acoustical Society of America.