Emergence of Acoustic Green's Functions from Time Averages of Ambient Noise

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Abstract:

The emergence of deterministic Green's functions from cross-correlation of ambient noise is the physical basis for a number of passive remote sensing techniques. The data-accumulation time necessary for the Green's function emergence is of critical significance for the feasibility and implementation of the passive techniques. This paper re-examines calculation of the necessary data-accumulation times. Previously published estimates are extended to more general ambient noise fields and source-receiver geometries. The emergence time calculation is performed for arbitrary anisotropy of the noise field generated by random acoustic noise sources located on a surface or on a curve. The results apply to a general case of an inhomogeneous, moving or motionless medium with time-independent parameters. It is shown that in certain situations the emergence time estimates are influenced by the geometry (dimensionality) of the noise sources' layout, and not necessarily by the dimensionality of the propagation medium. A simpler technique using basic statistical principles is suggested for calculating the emergence time under rather general assumptions.

Document Type: Research Article

DOI: http://dx.doi.org/10.3813/AAA.918385

Publication date: January 1, 2011

More about this publication?
  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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