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Beamforming by means of the Mahalanobis distance

Raumer, Hans-Georg (2019) Beamforming by means of the Mahalanobis distance. In: Inter-Noise 2019 (1646), Seiten 1-8. Inter-Noise 2019, 2019-06-16 - 2019-06-19, Madrid, Spain.

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Kurzfassung

Conventional beamforming is one of the standard methods for array imaging of acoustic sources. It offers a very robust indicator for the sound source distribution. In conventional beamforming the deviation of model and measurement with respect to the standard 2-norm is minimized. This can be interpreted as the Mahalanobis distance of measurement and model, where the covariance matrix of the measurement noise vector is a positive multiple of the Identity matrix. In real life applications this ideal noise model is often violated and hence the components of the noise vector have different variances or are even correlated. In order evaluate the Mahalanobis distance of model and measurement we need to know the covariance matrix of the noise vector. The covariance matrix can be estimated by the measurement samples or alternatively by an explicit formula assuming the noise is Gaussian. If the covariance matrix is assumed to be diagonal, the Mahalanobis distance can be interpreted as a weighted standard 2-norm, where the weights indicate the reliability of each data point. The application of this approach on experimental data of a wind tunnel test show that the resolution of the source maps can be enhanced compared to conventional beamforming. Conventional beamforming is one of the standard methods for array imaging of acoustic sources. It offers a very robust indicator for the sound source distribution. In conventional beamforming the deviation of model and measurement with respect to the standard 2-norm is minimized. This can be interpreted as the Mahalanobis distance of measurement and model, where the covariance matrix of the measurement noise vector is a positive multiple of the Identity matrix. In real life applications this ideal noise model is often violated and hence the components of the noise vector have different variances or are even correlated. In order evaluate the Mahalanobis distance of model and measurement we need to know the covariance matrix of the noise vector. The covariance matrix can be estimated by the measurement samples or alternatively by an explicit formula assuming the noise is Gaussian. If the covariance matrix is assumed to be diagonal, the Mahalanobis distance can be interpreted as a weighted standard 2-norm, where the weights indicate the reliability of each data point. The application of this approach on experimental data of a wind tunnel test show that the resolution of the source maps can be enhanced compared to conventional beamforming.

elib-URL des Eintrags:https://elib.dlr.de/127986/
Dokumentart:Konferenzbeitrag (Vortrag)
Titel:Beamforming by means of the Mahalanobis distance
Autoren:
AutorenInstitution oder E-Mail-AdresseAutoren-ORCID-iDORCID Put Code
Raumer, Hans-Georghans-georg.raumer (at) dlr.dehttps://orcid.org/0000-0001-6727-6819NICHT SPEZIFIZIERT
Datum:Juni 2019
Erschienen in:Inter-Noise 2019
Referierte Publikation:Ja
Open Access:Ja
Gold Open Access:Nein
In SCOPUS:Nein
In ISI Web of Science:Nein
Seitenbereich:Seiten 1-8
Herausgeber:
HerausgeberInstitution und/oder E-Mail-Adresse der HerausgeberHerausgeber-ORCID-iDORCID Put Code
NICHT SPEZIFIZIERTSEA, i-inceNICHT SPEZIFIZIERTNICHT SPEZIFIZIERT
Name der Reihe:Conference Proceedings online
Status:veröffentlicht
Stichwörter:array imaging, noise model, beamforming, source localization
Veranstaltungstitel:Inter-Noise 2019
Veranstaltungsort:Madrid, Spain
Veranstaltungsart:internationale Konferenz
Veranstaltungsbeginn:16 Juni 2019
Veranstaltungsende:19 Juni 2019
Veranstalter :Spanish Acoustical Society (SEA)
Institution:Deutsches Zentrum für Luft- und Raumfahrt e.V.
Abteilung:AS-EXV
HGF - Forschungsbereich:Luftfahrt, Raumfahrt und Verkehr
HGF - Programm:Luftfahrt
HGF - Programmthema:Flugzeuge
DLR - Schwerpunkt:Luftfahrt
DLR - Forschungsgebiet:L AR - Aircraft Research
DLR - Teilgebiet (Projekt, Vorhaben):L - Simulation und Validierung (alt)
Standort: Göttingen
Institute & Einrichtungen:Institut für Aerodynamik und Strömungstechnik > Experimentelle Verfahren, GO
Hinterlegt von: Micknaus, Ilka
Hinterlegt am:17 Jul 2019 11:16
Letzte Änderung:24 Apr 2024 20:31

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