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Weighted data spaces for correlation-based array imaging in experimental aeroacoustics

Raumer, Hans-Georg and Spehr, Carsten and Hohage, Thorsten and Ernst, Daniel (2021) Weighted data spaces for correlation-based array imaging in experimental aeroacoustics. Journal of Sound and Vibration, 494 (115878), pp. 1-25. Elsevier. doi: 10.1016/j.jsv.2020.115878. ISSN 0022-460X.

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Official URL: https://doi.org/10.1016/j.jsv.2020.115878


This article discusses aeroacoustic imaging methods based on correlation measurements in the frequencydomain. Standard methods in this field assume that the estimated correlation matrix is superimposed withadditive white noise. In this paper we present a mathematical model for the measurement process coveringarbitrarily correlated noise. The covariance matrix of correlation data is given in terms of fourth ordermoments. The aim of this paper is to explore the use of such additional information on the measurementdata in imaging methods. For this purpose a class of weighted data spaces is introduced, where each dataspace naturally defines an associated beamforming method with a corresponding point spread function. Thisgeneric class of beamformers contains many well-known methods such as Conventional Beamforming, (Ro-bust) Adaptive Beamforming or beamforming with shading. This article examines in particular weightingsthat depend on the noise (co)variances. In a theoretical analysis we prove that the beamformer, weighted bythe full noise covariance matrix, has minimal variance among all beamformers from the described class. Ap-plication of the (co)variance weighted methods on synthetic and experimental data show that the resolutionof the results is improved and noise effects are reduced.

Item URL in elib:https://elib.dlr.de/138574/
Document Type:Article
Additional Information:Cite as: arXiv:2005.13426 [eess.SP] Online, Available online 26 November 2020
Title:Weighted data spaces for correlation-based array imaging in experimental aeroacoustics
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Raumer, Hans-Georghans-georg.raumer (at) dlr.dehttps://orcid.org/0000-0001-6727-6819
Spehr, Carstencarsten.spehr (at) dlr.dehttps://orcid.org/0000-0002-2744-3675
Hohage, Thorstenhohage (at) math.uni-goettingen.deUNSPECIFIED
Ernst, Danieldaniel.ernst (at) dlr.dehttps://orcid.org/0000-0001-7920-9162
Date:3 March 2021
Journal or Publication Title:Journal of Sound and Vibration
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
DOI :10.1016/j.jsv.2020.115878
Page Range:pp. 1-25
EditorsEmailEditor's ORCID iD
Series Name:ScienceDirect
Keywords:Aeroacoustics, beamforming, data weighting, noise covariance
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Efficient Vehicle
DLR - Research area:Aeronautics
DLR - Program:L EV - Efficient Vehicle
DLR - Research theme (Project):L - Virtual Aircraft and  Validation
Location: Göttingen
Institutes and Institutions:Institute for Aerodynamics and Flow Technology > Experimental Methods, GO
Deposited By: Micknaus, Ilka
Deposited On:09 Dec 2020 23:24
Last Modified:19 Feb 2021 08:29

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