Generalized Broadband Beamforming Using a Modal Subspace Decomposition

<p/> <p>We propose a new broadband beamformer design technique which produces an optimal receiver beam pattern for any set of field measurements in space and time. The modal subspace decomposition (MSD) technique is based on projecting a desired pattern into the subspace of patterns achi...

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Main Authors: Williams Michael IY, Abhayapala Thushara D, Kennedy Rodney A
Format: Article
Language:English
Published: SpringerOpen 2007-01-01
Series:EURASIP Journal on Advances in Signal Processing
Online Access:http://asp.eurasipjournals.com/content/2007/068291
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author Williams Michael IY
Abhayapala Thushara D
Kennedy Rodney A
author_facet Williams Michael IY
Abhayapala Thushara D
Kennedy Rodney A
author_sort Williams Michael IY
collection DOAJ
description <p/> <p>We propose a new broadband beamformer design technique which produces an optimal receiver beam pattern for any set of field measurements in space and time. The modal subspace decomposition (MSD) technique is based on projecting a desired pattern into the subspace of patterns achievable by a particular set of space-time sampling positions. This projection is the optimal achievable pattern in the sense that it minimizes the mean-squared error (MSE) between the desired and actual patterns. The main advantage of the technique is versatility as it can be applied to both sparse and dense arrays, nonuniform and asynchronous time sampling, and dynamic arrays where sensors can move throughout space. It can also be applied to any beam pattern type, including frequency-invariant and spot pattern designs. A simple extension to the technique is presented for oversampled arrays, which allows high-resolution beamforming whilst carefully controlling input energy and error sensitivity.</p>
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spelling doaj.art-4bc9520655e94eacb55a13bc49cd13ec2022-12-22T00:51:35ZengSpringerOpenEURASIP Journal on Advances in Signal Processing1687-61721687-61802007-01-0120071068291Generalized Broadband Beamforming Using a Modal Subspace DecompositionWilliams Michael IYAbhayapala Thushara DKennedy Rodney A<p/> <p>We propose a new broadband beamformer design technique which produces an optimal receiver beam pattern for any set of field measurements in space and time. The modal subspace decomposition (MSD) technique is based on projecting a desired pattern into the subspace of patterns achievable by a particular set of space-time sampling positions. This projection is the optimal achievable pattern in the sense that it minimizes the mean-squared error (MSE) between the desired and actual patterns. The main advantage of the technique is versatility as it can be applied to both sparse and dense arrays, nonuniform and asynchronous time sampling, and dynamic arrays where sensors can move throughout space. It can also be applied to any beam pattern type, including frequency-invariant and spot pattern designs. A simple extension to the technique is presented for oversampled arrays, which allows high-resolution beamforming whilst carefully controlling input energy and error sensitivity.</p>http://asp.eurasipjournals.com/content/2007/068291
spellingShingle Williams Michael IY
Abhayapala Thushara D
Kennedy Rodney A
Generalized Broadband Beamforming Using a Modal Subspace Decomposition
EURASIP Journal on Advances in Signal Processing
title Generalized Broadband Beamforming Using a Modal Subspace Decomposition
title_full Generalized Broadband Beamforming Using a Modal Subspace Decomposition
title_fullStr Generalized Broadband Beamforming Using a Modal Subspace Decomposition
title_full_unstemmed Generalized Broadband Beamforming Using a Modal Subspace Decomposition
title_short Generalized Broadband Beamforming Using a Modal Subspace Decomposition
title_sort generalized broadband beamforming using a modal subspace decomposition
url http://asp.eurasipjournals.com/content/2007/068291
work_keys_str_mv AT williamsmichaeliy generalizedbroadbandbeamformingusingamodalsubspacedecomposition
AT abhayapalathusharad generalizedbroadbandbeamformingusingamodalsubspacedecomposition
AT kennedyrodneya generalizedbroadbandbeamformingusingamodalsubspacedecomposition