Spherical harmonic covariance and magnitude function encodings for beamformer design

Abstract Microphone and speaker array designs have increasingly diverged from simple topologies due to diversity of physical host geometries and use cases. Effective beamformer design must now account for variation in the array’s acoustic radiation pattern, spatial distribution of target and noise s...

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Autor principal:	Yuancheng Luo
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Spherical harmonics Covariance functions Radial basis functions Kernel expansion Array processing Beamformer design Acoustics. Sound QC221-246 Electronic computers. Computer science QA75.5-76.95
Acceso en línea:	https://doaj.org/article/2a2863f53ccd42d687aa877bfe719b27
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id	oai:doaj.org-article:2a2863f53ccd42d687aa877bfe719b27
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spelling	oai:doaj.org-article:2a2863f53ccd42d687aa877bfe719b272021-12-05T12:19:44ZSpherical harmonic covariance and magnitude function encodings for beamformer design10.1186/s13636-021-00230-71687-4722https://doaj.org/article/2a2863f53ccd42d687aa877bfe719b272021-12-01T00:00:00Zhttps://doi.org/10.1186/s13636-021-00230-7https://doaj.org/toc/1687-4722Abstract Microphone and speaker array designs have increasingly diverged from simple topologies due to diversity of physical host geometries and use cases. Effective beamformer design must now account for variation in the array’s acoustic radiation pattern, spatial distribution of target and noise sources, and intended beampattern directivity. Relevant tasks such as representing complex pressure fields, specifying spatial priors, and composing beampatterns can be efficiently synthesized using spherical harmonic (SH) basis functions. This paper extends the expansion of common stationary covariance functions onto the SHs and proposes models for encoding magnitude functions on a sphere. Conventional beamformer designs are reformulated in terms of magnitude density functions and beampatterns along SH bases. Applications to speaker far-field response fitting, cross-talk cancelation design, and microphone beampattern fitting are presented.Yuancheng LuoSpringerOpenarticleSpherical harmonicsCovariance functionsRadial basis functionsKernel expansionArray processingBeamformer designAcoustics. SoundQC221-246Electronic computers. Computer scienceQA75.5-76.95ENEURASIP Journal on Audio, Speech, and Music Processing, Vol 2021, Iss 1, Pp 1-17 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Spherical harmonics Covariance functions Radial basis functions Kernel expansion Array processing Beamformer design Acoustics. Sound QC221-246 Electronic computers. Computer science QA75.5-76.95
spellingShingle	Spherical harmonics Covariance functions Radial basis functions Kernel expansion Array processing Beamformer design Acoustics. Sound QC221-246 Electronic computers. Computer science QA75.5-76.95 Yuancheng Luo Spherical harmonic covariance and magnitude function encodings for beamformer design
description	Abstract Microphone and speaker array designs have increasingly diverged from simple topologies due to diversity of physical host geometries and use cases. Effective beamformer design must now account for variation in the array’s acoustic radiation pattern, spatial distribution of target and noise sources, and intended beampattern directivity. Relevant tasks such as representing complex pressure fields, specifying spatial priors, and composing beampatterns can be efficiently synthesized using spherical harmonic (SH) basis functions. This paper extends the expansion of common stationary covariance functions onto the SHs and proposes models for encoding magnitude functions on a sphere. Conventional beamformer designs are reformulated in terms of magnitude density functions and beampatterns along SH bases. Applications to speaker far-field response fitting, cross-talk cancelation design, and microphone beampattern fitting are presented.
format	article
author	Yuancheng Luo
author_facet	Yuancheng Luo
author_sort	Yuancheng Luo
title	Spherical harmonic covariance and magnitude function encodings for beamformer design
title_short	Spherical harmonic covariance and magnitude function encodings for beamformer design
title_full	Spherical harmonic covariance and magnitude function encodings for beamformer design
title_fullStr	Spherical harmonic covariance and magnitude function encodings for beamformer design
title_full_unstemmed	Spherical harmonic covariance and magnitude function encodings for beamformer design
title_sort	spherical harmonic covariance and magnitude function encodings for beamformer design
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/2a2863f53ccd42d687aa877bfe719b27
work_keys_str_mv	AT yuanchengluo sphericalharmoniccovarianceandmagnitudefunctionencodingsforbeamformerdesign
_version_	1718372005862965248

Spherical harmonic covariance and magnitude function encodings for beamformer design

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