On the use of global optimization methods for acoustic source mapping.

Conventional beamforming with a microphone array is a well-established method for localizing and quantifying sound sources. It provides estimates for the source strengths on a predefined grid by determining the agreement between the pressures measured and those modeled for a source located at the grid point under consideration. As such, conventional beamforming can be seen as an exhaustive search for those locations that provide a maximum match between measured and modeled pressures. In this contribution, the authors propose to, instead of the exhaustive search, use an efficient global optimization method to search for the source locations that maximize the agreement between model and measurement. Advantages are two-fold. First, the efficient optimization allows for inclusion of more unknowns, such as the source position in three-dimensional or environmental parameters such as the speed of sound. Second, the model for the received pressure field can be readily adapted to reflect, for example, the presence of more sound sources or environmental parameters that affect the received signals. For the work considered, the global optimization method, Differential Evolution, is selected. Results with simulated and experimental data show that sources can be accurately identified, including the distance from the source to the array.

[1]  Pei-Jung Chung,et al.  HYPOTHESIS TESTING FOR GEOACOUSTIC ENVIRONMENTAL MODELS USING LIKELIHOOD RATIO , 1999 .

[2]  John J. Grefenstette,et al.  Optimization of Control Parameters for Genetic Algorithms , 1986, IEEE Transactions on Systems, Man, and Cybernetics.

[3]  Dick G. Simons,et al.  AN ASSESSMENT OF THE PERFORMANCE OF GLOBAL OPTIMIZATION METHODS FOR GEO-ACOUSTIC INVERSION , 2008 .

[4]  Peter Gerstoft,et al.  Grid-free compressive beamforming , 2015, The Journal of the Acoustical Society of America.

[5]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[6]  M. Snellen,et al.  Multi-Frequency Matched-Field Inversion of Benchmark Data using a Genetic Algorithm , 1998 .

[7]  P. Stoica,et al.  Sparsity constrained deconvolution approaches for acoustic source mapping. , 2008, The Journal of the Acoustical Society of America.

[8]  Geoffrey F Edelmann,et al.  Beamforming using compressive sensing. , 2011, The Journal of the Acoustical Society of America.

[9]  P. Gerstoft,et al.  Inversion for geometric and geoacoustic parameters in shallow water: Experimental results , 1995 .

[10]  B.D. Van Veen,et al.  Beamforming: a versatile approach to spatial filtering , 1988, IEEE ASSP Magazine.

[11]  Thomas F. Brooks,et al.  A Deconvolution Approach for the Mapping of Acoustic Sources (DAMAS) Determined from Phased Microphone Arrays , 2006 .

[12]  N. R. Chapman,et al.  Matched field inversion for geoacoustic model parameters using adaptive simulated annealing , 1993 .

[13]  Luca Maria Gambardella,et al.  Ant Algorithms for Discrete Optimization , 1999, Artificial Life.

[14]  R. Onken,et al.  An environmental assessment in the Strait of Sicily: measurement and analysis techniques for determining bottom and oceanographic properties , 2000, IEEE Journal of Oceanic Engineering.

[15]  Marco Dorigo,et al.  Ant system: optimization by a colony of cooperating agents , 1996, IEEE Trans. Syst. Man Cybern. Part B.

[16]  Robert P. Dougherty,et al.  Beamforming In Acoustic Testing , 2002 .

[17]  Peter Gerstoft,et al.  Inversion of seismoacoustic data using genetic algorithms and a posteriori probability distributions , 1994 .

[18]  Jian Li,et al.  A covariance fitting approach for correlated acoustic source mapping. , 2010, The Journal of the Acoustical Society of America.

[19]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[20]  R. Storn,et al.  On the usage of differential evolution for function optimization , 1996, Proceedings of North American Fuzzy Information Processing.

[21]  Ennes Sarradj,et al.  Application of a Beamforming Technique to the Measurement of Airfoil Leading Edge Noise , 2012 .