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A method for the efficient construction of acoustic pressure cross-spectral matrices

A method for the efficient construction of acoustic pressure cross-spectral matrices
A method for the efficient construction of acoustic pressure cross-spectral matrices
A method is presented for constructing, with the minimum number of physical measurements, the full cross-spectral matrix of acoustic pressures associated with a number of measurement positions. It is necessary to evaluate the elements of the matrix in question when using inverse methods for the reconstruction of acoustic source strength spectra. The method presented uses the concept of "reference microphones". The relation between the rank of the cross-spectral matrix of acoustic pressures and the number of uncorrelated acoustic sources is discussed and used to determine the required number of reference microphones. A method is proposed for selecting this number in the inverse problem in which information regarding acoustic sources is unknown. The results of computer simulations are presented which explore the main features of the technique under various conditions. Experimental results are also presented which validate the technique.
0022-460X
887-910
Yoon, S.H.
15886fe3-f4d5-41b5-9119-7806cdcfed0a
Nelson, P.A.
41f7a079-1d7d-4d97-8fec-ffd5c271b26c
Yoon, S.H.
15886fe3-f4d5-41b5-9119-7806cdcfed0a
Nelson, P.A.
41f7a079-1d7d-4d97-8fec-ffd5c271b26c

Yoon, S.H. and Nelson, P.A. (2000) A method for the efficient construction of acoustic pressure cross-spectral matrices. Journal of Sound and Vibration, 233 (5), 887-910. (doi:10.1006/jsvi.1999.2888).

Record type: Article

Abstract

A method is presented for constructing, with the minimum number of physical measurements, the full cross-spectral matrix of acoustic pressures associated with a number of measurement positions. It is necessary to evaluate the elements of the matrix in question when using inverse methods for the reconstruction of acoustic source strength spectra. The method presented uses the concept of "reference microphones". The relation between the rank of the cross-spectral matrix of acoustic pressures and the number of uncorrelated acoustic sources is discussed and used to determine the required number of reference microphones. A method is proposed for selecting this number in the inverse problem in which information regarding acoustic sources is unknown. The results of computer simulations are presented which explore the main features of the technique under various conditions. Experimental results are also presented which validate the technique.

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More information

Published date: 2000
Organisations: Fluid Dynamics & Acoustics Group

Identifiers

Local EPrints ID: 10185
URI: http://eprints.soton.ac.uk/id/eprint/10185
ISSN: 0022-460X
PURE UUID: 6f44fae2-8614-40ba-a754-a1ae1ab8fda0

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Date deposited: 09 May 2005
Last modified: 15 Mar 2024 04:58

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Contributors

Author: S.H. Yoon
Author: P.A. Nelson

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