Localization of acoustic sensors from passive Green's function estimation.

A number of methods have recently been developed for passive localization of acoustic sensors, based on the assumption that the acoustic field is diffuse. This article presents the more general case of equipartition fields, which takes into account reflections off boundaries and/or scatterers. After a thorough discussion on the fundamental differences between the diffuse and equipartition models, it is shown that the method is more robust when dealing with wideband noise sources. Finally, experimental results show, for two types of boundary conditions, that this approach is especially relevant when acoustic sensors are close to boundaries.

[1]  F. Frassati,et al.  New algorithm for footstep localization using seismic sensors in an indoor environment , 2012 .

[2]  J. Rosny,et al.  Green's function retrieval and fluctuations of cross density of states in multiple-scattering media , 2013, 1310.5283.

[3]  Richard L. Weaver,et al.  On the emergence of the Green's function in the correlations of a diffuse field: pulse-echo using thermal phonons. , 2001, Ultrasonics.

[4]  W. Kuperman,et al.  Emergence rate of the time-domain Green's function from the ambient noise cross-correlation function , 2005 .

[5]  Mikael Carmona,et al.  An analytical solution for the complete sensor network attitude estimation problem , 2013, Signal Process..

[6]  C. T. Morrow,et al.  Point-to-point correlation of sound pressures in reverberation chambers , 1971 .

[7]  Mickael Tanter,et al.  Recovering the Green's function from field-field correlations in an open scattering medium. , 2003, The Journal of the Acoustical Society of America.

[8]  Ines Hafizovic,et al.  Design and implementation of a MEMS microphone array system for real-time speech acquisition , 2012 .

[9]  Martin Vetterli,et al.  Euclidean Distance Matrices: Essential theory, algorithms, and applications , 2015, IEEE Signal Processing Magazine.

[10]  W. Torgerson.  Multidimensional scaling: I. Theory and method , 1952 .

[11]  M. Schroeder.  The ‘‘Schroeder frequency’’ revisited , 1996 .

[12]  Jont B. Allen,et al.  Image method for efficiently simulating small‐room acoustics , 1976 .

[13]  M. Fink,et al.  Green's function retrieval and passive imaging from correlations of wideband thermal radiations. , 2013, Physical review letters.

[14]  L. Chehami,et al.  Detection and localization of a defect in a reverberant plate using acoustic field correlation , 2014 .

[15]  W.A. Kuperman,et al.  Using ocean ambient noise for array self-localization and self-synchronization , 2005, IEEE Journal of Oceanic Engineering.

[16]  T. J. Schultz.  Diffusion in reverberation rooms , 1971 .

[17]  Yubin Kuang,et al.  A complete characterization and solution to the microphone position self-calibration problem , 2013, 2013 IEEE International Conference on Acoustics, Speech and Signal Processing.

[18]  Hervé Bourlard,et al.  Euclidean distance matrix completion for ad-hoc microphone array calibration , 2013, 2013 18th International Conference on Digital Signal Processing (DSP).

[19]  Ivan Himawan,et al.  Microphone Array Shape Calibration in Diffuse Noise Fields , 2008, IEEE Transactions on Audio, Speech, and Language Processing.

[20]  R. K. Cook,et al.  Measurement of Correlation Coefficients in Reverberant Sound Fields , 1955 .

[21]  Pascal Challande,et al.  Design and implementation of a multi-octave-band audio camera for realtime diagnosis , 2015, 1603.07949.

[22]  A. Paul,et al.  Long-Range Correlations in the Diffuse Seismic Coda , 2003, Science.

[23]  Trung-Kien Le,et al.  Numerical formulae for TOA-based microphone and source localization , 2014, 2014 14th International Workshop on Acoustic Signal Enhancement (IWAENC).

[24]  W. Kuperman,et al.  Extracting coherent wave fronts from acoustic ambient noise in the ocean , 2004 .

[25]  Hervé Bourlard,et al.  Enhanced diffuse field model for ad hoc microphone array calibration , 2014, Signal Process..

[26]  Ramani Duraiswami,et al.  Automatic position calibration of multiple microphones , 2004, 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing.