Resolving manifold ambiguities in direction-of-arrival estimation for nonuniform linear antenna arrays
Identifieur interne : 00D631 ( Main/Merge ); précédent : 00D630; suivant : 00D632Resolving manifold ambiguities in direction-of-arrival estimation for nonuniform linear antenna arrays
Auteurs : Yu. I. Abramovich [Australie] ; N. K. Spencer [Australie] ; A. Y. Gorokhov [France]Source :
- IEEE transactions on signal processing [ 1053-587X ] ; 1999.
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Abstract
This paper addresses the problem of ambiguities in direction-of-arrival (DOA) estimation for nonuniform (sparse) linear arrays. Usually, DOA estimation ambiguities are associated with linear dependence among the points on the antenna array manifold, that is, the steering vectors degenerate so that each may be expressed as a linear combination of the others. Most nonuniform array geometries, including the so-called "minimum-redundancy" arrays, admit such manifold ambiguities. While the standard subspace algorithms such as MUSIC fail to provide unambiguous DOA estimates under these conditions, we demonstrate that this failure does not necessarily imply that consistent and asymptotically effective DOA estimates do not exist. We demonstrate that in most cases involving uncorrelated Gaussian sources, manifold ambiguity does not necessarily imply nonidentifiability; most importantly, we introduce algorithms designed to resolve manifold ambiguity. We also show that for situations where the number of sources exceeds the number of array sensors, a new class of locally nonidentifiable scenario exists.
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Spencer</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Cooperative Research Centre for Sensor Signal and Information Processing (CSSIP)</s1><s2>Adelaide</s2><s3>AUS</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ></inist:fA14><country>Australie</country><wicri:noRegion>Cooperative Research Centre for Sensor Signal and Information Processing (CSSIP)</wicri:noRegion></affiliation></author><author><name sortKey="Gorokhov, A Y" sort="Gorokhov, A Y" uniqKey="Gorokhov A" first="A. Y." last="Gorokhov">A. Y. Gorokhov</name><affiliation wicri:level="3"><inist:fA14 i1="02"><s1>Laboratoire des Signaux et Systèmes, Ècole Supérieure d'Electricité</s1><s2>Paris</s2><s3>FRA</s3><sZ>3 aut.</sZ></inist:fA14><country>France</country><placeName><region type="region">Île-de-France</region><region type="old region">Île-de-France</region><settlement type="city">Paris</settlement></placeName></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">INIST</idno><idno type="inist">99-0497851</idno><date when="1999">1999</date><idno type="stanalyst">PASCAL 99-0497851 INIST</idno><idno type="RBID">Pascal:99-0497851</idno><idno type="wicri:Area/PascalFrancis/Corpus">006214</idno><idno type="wicri:Area/PascalFrancis/Curation">006E40</idno><idno type="wicri:Area/PascalFrancis/Checkpoint">005F18</idno><idno type="wicri:explorRef" wicri:stream="PascalFrancis" wicri:step="Checkpoint">005F18</idno><idno type="wicri:doubleKey">1053-587X:1999:Abramovich Y:resolving:manifold:ambiguities</idno><idno type="wicri:Area/Main/Merge">00D631</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en" level="a">Resolving manifold ambiguities in direction-of-arrival estimation for nonuniform linear antenna arrays</title><author><name sortKey="Abramovich, Yu I" sort="Abramovich, Yu I" uniqKey="Abramovich Y" first="Yu. I." last="Abramovich">Yu. I. Abramovich</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Cooperative Research Centre for Sensor Signal and Information Processing (CSSIP)</s1><s2>Adelaide</s2><s3>AUS</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ></inist:fA14><country>Australie</country><wicri:noRegion>Cooperative Research Centre for Sensor Signal and Information Processing (CSSIP)</wicri:noRegion></affiliation></author><author><name sortKey="Spencer, N K" sort="Spencer, N K" uniqKey="Spencer N" first="N. K." last="Spencer">N. K. Spencer</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Cooperative Research Centre for Sensor Signal and Information Processing (CSSIP)</s1><s2>Adelaide</s2><s3>AUS</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ></inist:fA14><country>Australie</country><wicri:noRegion>Cooperative Research Centre for Sensor Signal and Information Processing (CSSIP)</wicri:noRegion></affiliation></author><author><name sortKey="Gorokhov, A Y" sort="Gorokhov, A Y" uniqKey="Gorokhov A" first="A. Y." last="Gorokhov">A. Y. Gorokhov</name><affiliation wicri:level="3"><inist:fA14 i1="02"><s1>Laboratoire des Signaux et Systèmes, Ècole Supérieure d'Electricité</s1><s2>Paris</s2><s3>FRA</s3><sZ>3 aut.</sZ></inist:fA14><country>France</country><placeName><region type="region">Île-de-France</region><region type="old region">Île-de-France</region><settlement type="city">Paris</settlement></placeName></affiliation></author></analytic><series><title level="j" type="main">IEEE transactions on signal processing</title><title level="j" type="abbreviated">IEEE trans. signal process.</title><idno type="ISSN">1053-587X</idno><imprint><date when="1999">1999</date></imprint></series></biblStruct></sourceDesc><seriesStmt><title level="j" type="main">IEEE transactions on signal processing</title><title level="j" type="abbreviated">IEEE trans. signal process.</title><idno type="ISSN">1053-587X</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Ambiguity</term><term>Antenna array</term><term>Direction of arrival</term><term>Gaussian signal</term><term>Linear array</term><term>Nonuniform array</term><term>Signal processing</term><term>Signal to noise ratio</term></keywords><keywords scheme="Pascal" xml:lang="fr"><term>Traitement signal</term><term>Antenne réseau</term><term>Barrette linéaire</term><term>Ambiguité</term><term>Signal gaussien</term><term>Rapport signal bruit</term><term>Nonidentifiabilité</term><term>MUSIC</term><term>Direction arrivée</term><term>Réseau non uniforme</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">This paper addresses the problem of ambiguities in direction-of-arrival (DOA) estimation for nonuniform (sparse) linear arrays. Usually, DOA estimation ambiguities are associated with linear dependence among the points on the antenna array manifold, that is, the steering vectors degenerate so that each may be expressed as a linear combination of the others. Most nonuniform array geometries, including the so-called "minimum-redundancy" arrays, admit such manifold ambiguities. While the standard subspace algorithms such as MUSIC fail to provide unambiguous DOA estimates under these conditions, we demonstrate that this failure does not necessarily imply that consistent and asymptotically effective DOA estimates do not exist. We demonstrate that in most cases involving uncorrelated Gaussian sources, manifold ambiguity does not necessarily imply nonidentifiability; most importantly, we introduce algorithms designed to resolve manifold ambiguity. We also show that for situations where the number of sources exceeds the number of array sensors, a new class of locally nonidentifiable scenario exists.</div></front></TEI><affiliations><list><country><li>Australie</li><li>France</li></country><region><li>Île-de-France</li></region><settlement><li>Paris</li></settlement></list><tree><country name="Australie"><noRegion><name sortKey="Abramovich, Yu I" sort="Abramovich, Yu I" uniqKey="Abramovich Y" first="Yu. I." last="Abramovich">Yu. I. Abramovich</name></noRegion><name sortKey="Spencer, N K" sort="Spencer, N K" uniqKey="Spencer N" first="N. K." last="Spencer">N. K. Spencer</name></country><country name="France"><region name="Île-de-France"><name sortKey="Gorokhov, A Y" sort="Gorokhov, A Y" uniqKey="Gorokhov A" first="A. Y." last="Gorokhov">A. Y. Gorokhov</name></region></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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