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The factorization method and Capon’s method for random source identification in experimental aeroacoustics

Griesmaier, Roland 1; Raumer, Hans-Georg
1 Institut für Angewandte und Numerische Mathematik (IANM), Karlsruher Institut für Technologie (KIT)

Abstract:

Experimental aeroacoustics is concerned with the estimation of acoustic source power distributions, which are for instance caused by fluid structure interactions on scaled aircraft models inside a wind tunnel, from microphone array measurements of associated sound pressure fluctuations. In the frequency domain aeroacoustic sound propagation can be modeled as a random source problem for a convected Helmholtz equation. This article is concerned with the inverse random source problem to recover the support of an uncorrelated aeroacoustic source from correlations of observed pressure signals. We show that a variant of the factorization method from inverse scattering theory can be used for this purpose. We also discuss a surprising relation between the factorization method and a commonly used beamforming algorithm from experimental aeroacoustics, which is known as Capon's method or as the minimum variance method. Numerical examples illustrate our theoretical findings.


Verlagsausgabe §
DOI: 10.5445/IR/1000151647
Veröffentlicht am 20.10.2022
Originalveröffentlichung
DOI: 10.1088/1361-6420/ac90e4
Scopus
Zitationen: 2
Web of Science
Zitationen: 2
Dimensions
Zitationen: 2
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Publikationstyp Zeitschriftenaufsatz
Publikationsdatum 01.11.2022
Sprache Englisch
Identifikator ISSN: 0266-5611, 1361-6420
KITopen-ID: 1000151647
Erschienen in Inverse Problems
Verlag Institute of Physics Publishing Ltd (IOP Publishing Ltd)
Band 38
Heft 11
Seiten Art.-Nr.: 115004
Vorab online veröffentlicht am 26.09.2022
Schlagwörter factorization method, inverse source problem, correlation data, aeroacoustics
Nachgewiesen in Dimensions
Web of Science
Scopus
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