Statistical assessment of eigenvector-based target decomposition theorems in radar polarimetry
Identifieur interne : 00A430 ( Main/Exploration ); précédent : 00A429; suivant : 00A431Statistical assessment of eigenvector-based target decomposition theorems in radar polarimetry
Auteurs : Carlos Lopez-Martinez [France] ; Eric Pottier [France] ; Shane R. Cloude [Australie]Source :
- IEEE transactions on geoscience and remote sensing [ 0196-2892 ] ; 2005.
Descripteurs français
- Pascal (Inist)
- Wicri :
- topic : Télédétection, Bruit, Statistique.
English descriptors
- KwdEn :
Abstract
The performance of quantitative remote sensing based on multidimensional synthetic aperture radars (SARs), and polarimetric SAR systems in particular, depends strongly on a correct statistical characterization of the data, i.e., on a complete knowledge of the effects of the speckle noise. In this framework, the eigendecompostion of the covariance or coherency matrices and the associated H/a/A decomposition have demonstrated the potential for quantitative estimation of physical parameters. In this paper, we present a detailed study of the statistics associated with this decomposition. This analysis requires the introduction of mathematical tools that are not well known in the remote sensing community. For this reason, we include a review section to present them. Using this work, we then present an expression for the probability density function of the sample eigenvalues of the covariance or coherency matrix. The availability of this expression allows a complete study of the separated sample eigenvalues, as well as, the entropy H and the anisotropy A. As demonstrated, all these parameters must be considered as asymptotically nonbiased with respect to the number of looks. In order to reduce the biases for a small number of averaged samples, a novel estimator for the eigenvalues is proposed. The results of this work are analyzed by means of simulated and real airborne SAR data. This analysis permits us to determine in detail the effects of the number of averaged samples in the estimation of physical information in radar polarimetry.
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Team</s1><s2>35042 Rennes</s2><s3>FRA</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ></inist:fA14><country>France</country><wicri:noRegion>35042 Rennes</wicri:noRegion><wicri:noRegion>S.A.P.H.I.R. Team</wicri:noRegion><wicri:noRegion>35042 Rennes</wicri:noRegion></affiliation></author><author><name sortKey="Cloude, Shane R" sort="Cloude, Shane R" uniqKey="Cloude S" first="Shane R." last="Cloude">Shane R. Cloude</name><affiliation wicri:level="1"><inist:fA14 i1="02"><s1>School of Electrical and Electronic Engineering, University of Adelaide</s1><s2>Adelaide, SA 5005</s2><s3>AUS</s3><sZ>3 aut.</sZ></inist:fA14><country>Australie</country><wicri:noRegion>Adelaide, SA 5005</wicri:noRegion></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">INIST</idno><idno type="inist">05-0395570</idno><date when="2005">2005</date><idno type="stanalyst">PASCAL 05-0395570 INIST</idno><idno type="RBID">Pascal:05-0395570</idno><idno type="wicri:Area/PascalFrancis/Corpus">004784</idno><idno type="wicri:Area/PascalFrancis/Curation">001919</idno><idno type="wicri:Area/PascalFrancis/Checkpoint">004370</idno><idno type="wicri:explorRef" wicri:stream="PascalFrancis" wicri:step="Checkpoint">004370</idno><idno type="wicri:doubleKey">0196-2892:2005:Lopez Martinez C:statistical:assessment:of</idno><idno type="wicri:Area/Main/Merge">00B020</idno><idno type="wicri:Area/Main/Curation">00A430</idno><idno type="wicri:Area/Main/Exploration">00A430</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en" level="a">Statistical assessment of eigenvector-based target decomposition theorems in radar polarimetry</title><author><name sortKey="Lopez Martinez, Carlos" sort="Lopez Martinez, Carlos" uniqKey="Lopez Martinez C" first="Carlos" last="Lopez-Martinez">Carlos Lopez-Martinez</name><affiliation wicri:level="3"><inist:fA14 i1="01"><s1>Universite Rennes 1, IETR, S.A.P.H.I.R. Team</s1><s2>35042 Rennes</s2><s3>FRA</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ></inist:fA14><country>France</country><placeName><region type="region" nuts="2">Région Bretagne</region><settlement type="city">Rennes</settlement></placeName></affiliation></author><author><name sortKey="Pottier, Eric" sort="Pottier, Eric" uniqKey="Pottier E" first="Eric" last="Pottier">Eric Pottier</name><affiliation wicri:level="3"><inist:fA14 i1="01"><s1>Universite Rennes 1, IETR, S.A.P.H.I.R. Team</s1><s2>35042 Rennes</s2><s3>FRA</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ></inist:fA14><country>France</country><placeName><region type="region" nuts="2">Région Bretagne</region><settlement type="city">Rennes</settlement></placeName></affiliation></author><author><name sortKey="Cloude, Shane R" sort="Cloude, Shane R" uniqKey="Cloude S" first="Shane R." last="Cloude">Shane R. Cloude</name><affiliation wicri:level="1"><inist:fA14 i1="02"><s1>School of Electrical and Electronic Engineering, University of Adelaide</s1><s2>Adelaide, SA 5005</s2><s3>AUS</s3><sZ>3 aut.</sZ></inist:fA14><country>Australie</country><wicri:noRegion>Adelaide, SA 5005</wicri:noRegion></affiliation></author></analytic><series><title level="j" type="main">IEEE transactions on geoscience and remote sensing</title><title level="j" type="abbreviated">IEEE trans. geosci. remote sens.</title><idno type="ISSN">0196-2892</idno><imprint><date when="2005">2005</date></imprint></series></biblStruct></sourceDesc><seriesStmt><title level="j" type="main">IEEE transactions on geoscience and remote sensing</title><title level="j" type="abbreviated">IEEE trans. geosci. remote sens.</title><idno type="ISSN">0196-2892</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>anisotropy</term><term>covariance</term><term>density</term><term>eigenvalues</term><term>entropy</term><term>noise</term><term>probability</term><term>remote sensing</term><term>statistics</term><term>synthetic aperture radar</term></keywords><keywords scheme="Pascal" xml:lang="fr"><term>Télédétection</term><term>Radar antenne synthétique</term><term>Bruit</term><term>Covariance</term><term>Statistique</term><term>Probabilité</term><term>Densité</term><term>Valeur propre</term><term>Entropie</term><term>Anisotropie</term><term>Densité probabilité</term><term>Théorie estimation</term><term>Polarimétrie</term><term>Speckle</term><term>Radar synthèse ouverture</term><term>Radar ouverture synthétique</term></keywords><keywords scheme="Wicri" type="topic" xml:lang="fr"><term>Télédétection</term><term>Bruit</term><term>Statistique</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">The performance of quantitative remote sensing based on multidimensional synthetic aperture radars (SARs), and polarimetric SAR systems in particular, depends strongly on a correct statistical characterization of the data, i.e., on a complete knowledge of the effects of the speckle noise. In this framework, the eigendecompostion of the covariance or coherency matrices and the associated H/a/A decomposition have demonstrated the potential for quantitative estimation of physical parameters. In this paper, we present a detailed study of the statistics associated with this decomposition. This analysis requires the introduction of mathematical tools that are not well known in the remote sensing community. For this reason, we include a review section to present them. Using this work, we then present an expression for the probability density function of the sample eigenvalues of the covariance or coherency matrix. The availability of this expression allows a complete study of the separated sample eigenvalues, as well as, the entropy H and the anisotropy A. As demonstrated, all these parameters must be considered as asymptotically nonbiased with respect to the number of looks. In order to reduce the biases for a small number of averaged samples, a novel estimator for the eigenvalues is proposed. The results of this work are analyzed by means of simulated and real airborne SAR data. This analysis permits us to determine in detail the effects of the number of averaged samples in the estimation of physical information in radar polarimetry.</div></front></TEI><affiliations><list><country><li>Australie</li><li>France</li></country><region><li>Région Bretagne</li></region><settlement><li>Rennes</li></settlement></list><tree><country name="France"><region name="Région Bretagne"><name sortKey="Lopez Martinez, Carlos" sort="Lopez Martinez, Carlos" uniqKey="Lopez Martinez C" first="Carlos" last="Lopez-Martinez">Carlos Lopez-Martinez</name></region><name sortKey="Pottier, Eric" sort="Pottier, Eric" uniqKey="Pottier E" first="Eric" last="Pottier">Eric Pottier</name></country><country name="Australie"><noRegion><name sortKey="Cloude, Shane R" sort="Cloude, Shane R" uniqKey="Cloude S" first="Shane R." last="Cloude">Shane R. Cloude</name></noRegion></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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