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Article: A two-stage method for the design of near-field broadband beamformer

TitleA two-stage method for the design of near-field broadband beamformer
Authors
KeywordsBeamformer
Interior Point Algorithm
Near-Field
Issue Date2011
Citation
Ieee Transactions On Signal Processing, 2011, v. 59 n. 8, p. 3647-3656 How to Cite?
AbstractIn this paper, the design of near-field broadband beamformer is considered. The idea is to design the beamformer filter coefficients such that the error between the actual response and the desired response is minimized. This problem can be formulated as a minimax optimization problem and can be transformed into a linear semi-definite programming problem. Interior point algorithm can then be applied after discretization. However, if the dimension of the problem is high, the number of discrete points of the specified region and consequently the dimension of the resultant constraint matrix is high. This high dimension provides a difficulty when directly employing interior point algorithm. Since it results in a large size problem, this problem is considered in this paper. To reduce the computational complexity and memory usage, a two-stage method has been proposed. In the first stage, by using an infinite length filter formulation, an infinite length limit for the original problem is obtained. Then, based on that limit, a reduced problem with a finite filter length is found. The computational complexity of this method is derived. It provides a significant reduction compared to a direct solution of the original problem. It is shown that as the filter length increases, the approximative problem comes close to the optimal infinite solution. Furthermore, we demonstrate with examples the close correspondence between proposed design and optimal design. Also the superiority of the suggested method is illustrated in a three-dimensional beamformer design, where the direct method can only design broadband beamformer of very short filter lengths. © 2011 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/155946
ISSN
2015 Impact Factor: 2.624
2015 SCImago Journal Rankings: 2.004
ISI Accession Number ID
Funding AgencyGrant Number
RGCPolyU. (5365/09E)
NSFC10901170
Research Committee of the Hong Kong Polytechnic University
ARCDP1096348
Funding Information:

Manuscript received September 08, 2010; revised January 26, 2011; accepted March 06, 2011. Date of publication March 28, 2011; date of current version July 13, 2011. The associate editor coordinating the review of this manuscript and approving it for publication was Prof. Maria S. Greco. This work was supported by RGC Grant PolyU. (5365/09E). Z. G. Feng and D. F. C. Yiu acknowledge the support of NSFC Grant (10901170) and the Research Committee of the Hong Kong Polytechnic University. S. E. Nordholm also acknowledges support from ARC DP1096348.

References

 

DC FieldValueLanguage
dc.contributor.authorFeng, ZGen_US
dc.contributor.authorYiu, KFCen_US
dc.contributor.authorNordholm, SEen_US
dc.date.accessioned2012-08-08T08:38:33Z-
dc.date.available2012-08-08T08:38:33Z-
dc.date.issued2011en_US
dc.identifier.citationIeee Transactions On Signal Processing, 2011, v. 59 n. 8, p. 3647-3656en_US
dc.identifier.issn1053-587Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/155946-
dc.description.abstractIn this paper, the design of near-field broadband beamformer is considered. The idea is to design the beamformer filter coefficients such that the error between the actual response and the desired response is minimized. This problem can be formulated as a minimax optimization problem and can be transformed into a linear semi-definite programming problem. Interior point algorithm can then be applied after discretization. However, if the dimension of the problem is high, the number of discrete points of the specified region and consequently the dimension of the resultant constraint matrix is high. This high dimension provides a difficulty when directly employing interior point algorithm. Since it results in a large size problem, this problem is considered in this paper. To reduce the computational complexity and memory usage, a two-stage method has been proposed. In the first stage, by using an infinite length filter formulation, an infinite length limit for the original problem is obtained. Then, based on that limit, a reduced problem with a finite filter length is found. The computational complexity of this method is derived. It provides a significant reduction compared to a direct solution of the original problem. It is shown that as the filter length increases, the approximative problem comes close to the optimal infinite solution. Furthermore, we demonstrate with examples the close correspondence between proposed design and optimal design. Also the superiority of the suggested method is illustrated in a three-dimensional beamformer design, where the direct method can only design broadband beamformer of very short filter lengths. © 2011 IEEE.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Transactions on Signal Processingen_US
dc.subjectBeamformeren_US
dc.subjectInterior Point Algorithmen_US
dc.subjectNear-Fielden_US
dc.titleA two-stage method for the design of near-field broadband beamformeren_US
dc.typeArticleen_US
dc.identifier.emailYiu, KFC:cedric@hkucc.hku.hken_US
dc.identifier.authorityYiu, KFC=rp00206en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1109/TSP.2011.2133490en_US
dc.identifier.scopuseid_2-s2.0-79960391256en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79960391256&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume59en_US
dc.identifier.issue8en_US
dc.identifier.spage3647en_US
dc.identifier.epage3656en_US
dc.identifier.isiWOS:000293686100012-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridFeng, ZG=12753600700en_US
dc.identifier.scopusauthoridYiu, KFC=24802813000en_US
dc.identifier.scopusauthoridNordholm, SE=7005690573en_US

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