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Article: A second-order cone bounding algorithm for robust minimum variance beamforming

TitleA second-order cone bounding algorithm for robust minimum variance beamforming
Authors
Issue Date2005
PublisherSpringer Verlag. The Journal's web site is located at http://springerlink.com/content/105633/
Citation
Lecture Notes In Computer Science, 2005, v. 3355, p. 223-247 How to Cite?
AbstractWe present a geometrical approach for designing robust minimum variance (RMV) beamformers against steering vector uncertainties. Conventional techniques enclose the uncertainties with a convex set; the antenna weights are then designed to minimize the maximum array output variance over this set. In contrast, we propose to cover the uncertainty by a second-order cone (SOC). The optimization problem, with optional robust interference rejection constraints, then reduces to the minimization of the array output variance over the intersection of the SOC and a hyperplane. This is cast into a standard second-order cone programming (SOCP) problem and solved efficiently. We study the computationally efficient case wherein the uncertainties are embedded in complex-plane trapezoids. The idea is then extended to arbitrary uncertainty geometries. Effectiveness of the proposed approach over other schemes and its fast convergence in signal power estimation are demonstrated with numerical examples. © Springer-Verlag Berlin Heidelberg 2005.
Persistent Identifierhttp://hdl.handle.net/10722/54296
ISSN
2005 Impact Factor: 0.402
2015 SCImago Journal Rankings: 0.252
References

 

DC FieldValueLanguage
dc.contributor.authorWong, Nen_HK
dc.contributor.authorBalakrishnan, Ven_HK
dc.contributor.authorNg, TSen_HK
dc.date.accessioned2009-04-03T07:42:27Z-
dc.date.available2009-04-03T07:42:27Z-
dc.date.issued2005en_HK
dc.identifier.citationLecture Notes In Computer Science, 2005, v. 3355, p. 223-247en_HK
dc.identifier.issn0302-9743en_HK
dc.identifier.urihttp://hdl.handle.net/10722/54296-
dc.description.abstractWe present a geometrical approach for designing robust minimum variance (RMV) beamformers against steering vector uncertainties. Conventional techniques enclose the uncertainties with a convex set; the antenna weights are then designed to minimize the maximum array output variance over this set. In contrast, we propose to cover the uncertainty by a second-order cone (SOC). The optimization problem, with optional robust interference rejection constraints, then reduces to the minimization of the array output variance over the intersection of the SOC and a hyperplane. This is cast into a standard second-order cone programming (SOCP) problem and solved efficiently. We study the computationally efficient case wherein the uncertainties are embedded in complex-plane trapezoids. The idea is then extended to arbitrary uncertainty geometries. Effectiveness of the proposed approach over other schemes and its fast convergence in signal power estimation are demonstrated with numerical examples. © Springer-Verlag Berlin Heidelberg 2005.en_HK
dc.languageengen_HK
dc.publisherSpringer Verlag. The Journal's web site is located at http://springerlink.com/content/105633/en_HK
dc.relation.ispartofLecture Notes in Computer Scienceen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleA second-order cone bounding algorithm for robust minimum variance beamformingen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0302-9743&volume=3355&spage=223&epage=247&date=2005&atitle=A+second-order+cone+bounding+algorithm+for+robust+minimum+variance+beamformingen_HK
dc.identifier.emailWong, N:nwong@eee.hku.hken_HK
dc.identifier.emailNg, TS:tsng@eee.hku.hken_HK
dc.identifier.authorityWong, N=rp00190en_HK
dc.identifier.authorityNg, TS=rp00159en_HK
dc.description.naturepostprinten_HK
dc.identifier.scopuseid_2-s2.0-24144474254en_HK
dc.identifier.hkuros102344-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-24144474254&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume3355en_HK
dc.identifier.spage223en_HK
dc.identifier.epage247en_HK
dc.publisher.placeGermanyen_HK
dc.identifier.scopusauthoridWong, N=35235551600en_HK
dc.identifier.scopusauthoridBalakrishnan, V=7102659847en_HK
dc.identifier.scopusauthoridNg, TS=7402229975en_HK

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