Blind Separation of Sources by Differentiating the Output Cumulants and Using Newton’s Method
Identifieur interne : 000302 ( Main/Exploration ); précédent : 000301; suivant : 000303Blind Separation of Sources by Differentiating the Output Cumulants and Using Newton’s Method
Auteurs : Rubén Martín-Clemente [Espagne] ; José I. Acha [Espagne] ; Carlos G. Puntonet [Espagne]Source :
- Lecture Notes in Computer Science [ 0302-9743 ] ; 2001.
Abstract
Abstract: This paper addresses the Blind Separation of non-Gaussian Sources for instantaneous mixtures. It is proven that the estimation of the separating system can be based on the cancellation of some second partial derivatives of the output cross-cumulants. These equations can be seen as a subset of those solved by JADE. Finally, we present an algorithm which is based on Newton’s method and exhibits a fast rate of convergence.
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DOI: 10.1007/3-540-44668-0_73
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Puntonet</name><affiliation wicri:level="4"><country xml:lang="fr">Espagne</country><wicri:regionArea>Departamento de Arquitectura y Tecnología de Computadores, Universidad de Granada, E-18071, Granada</wicri:regionArea><orgName type="university">Université de Grenade</orgName><placeName><settlement type="city">Grenade (Espagne)</settlement><region nuts="2" type="region">Andalousie</region></placeName></affiliation><affiliation wicri:level="1"><country wicri:rule="url">Espagne</country></affiliation></author></analytic><monogr></monogr><series><title level="s">Lecture Notes in Computer Science</title><imprint><date>2001</date></imprint><idno type="ISSN">0302-9743</idno><idno type="ISSN">0302-9743</idno></series><idno type="istex">9DC07383137E737A7D4BECA74E926175598A2668</idno><idno type="DOI">10.1007/3-540-44668-0_73</idno><idno type="ChapterID">73</idno><idno type="ChapterID">Chap73</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0302-9743</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: This paper addresses the Blind Separation of non-Gaussian Sources for instantaneous mixtures. It is proven that the estimation of the separating system can be based on the cancellation of some second partial derivatives of the output cross-cumulants. These equations can be seen as a subset of those solved by JADE. Finally, we present an algorithm which is based on Newton’s method and exhibits a fast rate of convergence.</div></front></TEI><affiliations><list><country><li>Espagne</li></country><region><li>Andalousie</li></region><settlement><li>Grenade (Espagne)</li></settlement><orgName><li>Université de Grenade</li></orgName></list><tree><country name="Espagne"><noRegion><name sortKey="Martin Clemente, Ruben" sort="Martin Clemente, Ruben" uniqKey="Martin Clemente R" first="Rubén" last="Martín-Clemente">Rubén Martín-Clemente</name></noRegion><name sortKey="Acha, Jose I" sort="Acha, Jose I" uniqKey="Acha J" first="José I." last="Acha">José I. Acha</name><name sortKey="Acha, Jose I" sort="Acha, Jose I" uniqKey="Acha J" first="José I." last="Acha">José I. 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