Noise Source Localization in an Attenuating Medium

In this paper we consider the problem of reconstructing the spatial support of noise sources from boundary measurements using cross correlation techniques. We consider media with and without attenuation and provide efficient imaging functionals in both cases. We also discuss the case where the noise sources are spatially correlated. We present numerical results to show the viability of the different proposed imaging techniques.

[1]  Josselin Garnier,et al.  Resolution analysis for imaging with noise , 2010 .

[2]  Habib Ammari,et al.  An Introduction to Mathematics of Emerging Biomedical Imaging , 2008 .

[3]  S. Brandt,et al.  Special Functions of Mathematical Physics , 2011 .

[4]  Michel Campillo,et al.  High-Resolution Surface-Wave Tomography from Ambient Seismic Noise , 2005, Science.

[5]  R. Snieder.  Extracting the Green's function from the correlation of coda waves: a derivation based on stationary phase. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Josselin Garnier,et al.  Time reversal in attenuating acoustic media , 2010 .

[7]  V. B. Uvarov,et al.  Special Functions of Mathematical Physics: A Unified Introduction with Applications , 1988 .

[8]  Hiroaki Kitano,et al.  Applying scattering theory to robot audition system: robust sound source localization and extraction , 2003, Proceedings 2003 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2003) (Cat. No.03CH37453).

[9]  Roel Snieder,et al.  Extracting the Green's function of attenuating heterogeneous acoustic media from uncorrelated waves. , 2007, The Journal of the Acoustical Society of America.

[10]  Eric Martinson,et al.  Discovery of sound sources by an autonomous mobile robot , 2009, Auton. Robots.

[11]  Noboru Ohnishi,et al.  Building ears for robots: Sound localization and separation , 1997, Artificial Life and Robotics.

[12]  Josselin Garnier,et al.  Identification of Green's functions singularities by cross correlation of noisy signals , 2008 .

[13]  Habib Ammari,et al.  Photoacoustic Imaging for Attenuating Acoustic Media , 2012 .

[14]  Josselin Garnier,et al.  Passive Sensor Imaging Using Cross Correlations of Noisy Signals in a Scattering Medium , 2009, SIAM J. Imaging Sci..

[15]  G. Papanicolaou,et al.  Imaging and time reversal in random media , 2001 .

[16]  Yves Colin de Verdi.  Semiclassical analysis and passive imaging , 2009 .

[17]  Josselin Garnier,et al.  Filtered Kirchhoff migration of cross correlations of ambient noise signals , 2011 .

[18]  Eric Martinson.  Hiding the acoustic signature of a mobile robot , 2007, 2007 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[19]  Josselin Garnier,et al.  Wave Propagation and Time Reversal in Randomly Layered Media , 2007 .

[20]  Jean Rouat,et al.  Robust sound source localization using a microphone array on a mobile robot , 2003, Proceedings 2003 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2003) (Cat. No.03CH37453).

[21]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[22]  Michel Campillo,et al.  A study of the seismic noise from its long-range correlation properties , 2006 .