Wavenumber-domain method for source reconstruction from far-field array measurements in flow

Casagrande Hirono, Fabio, Joseph, Phillip and Fazi, Filippo Maria (2018) Wavenumber-domain method for source reconstruction from far-field array measurements in flow. 7th Berlin Beamforming Conference 2018, Erwin Schrödinger-Zentrum Adlershof, Humboldt-Universität zu Berlin, Berlin, Germany. 05 - 06 Mar 2018. 19 pp .

Abstract

This paper covers the relationship between the far-field sound radiation of a planar acoustic source in the presence of a mean flow and the Spatial Fourier Transform of the source strength distribution, and proposes an inverse approach for source strength estimation from far-field data. It is shown that each microphone effectively “samples” the source wavenumber spectrum at a specific wavenumber associated to its position; hence, a particular microphone array geometry and location is inherently linked to a “visibility region” in the source wavenumber domain, and the array performance is directly related to which wavenumber spectrum components it is able to observe. It is also shown that this method is analytically equivalent to a classical frequency-domain beamforming when assuming far-field-approximated transfer functions.

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Contributors

Author: Fabio Casagrande Hirono

Author: Filippo Maria Fazi

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