Compact CramAraRao Bound Expression for Independent Component Analysis

Despite of the increased interest in independent component analysis (ICA) during the past two decades, a simple closed form expression of the Cramer-Rao bound (CRB) for the demixing matrix estimation has not been established in the open literature. In the present paper we fill this gap by deriving a...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:IEEE transactions on signal processing 2008-01, Vol.56 (4)
Hauptverfasser: Ollila, E, Kim, Hyon-Jung, Koivunen, V
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue 4
container_start_page
container_title IEEE transactions on signal processing
container_volume 56
creator Ollila, E
Kim, Hyon-Jung
Koivunen, V
description Despite of the increased interest in independent component analysis (ICA) during the past two decades, a simple closed form expression of the Cramer-Rao bound (CRB) for the demixing matrix estimation has not been established in the open literature. In the present paper we fill this gap by deriving a simple closed-form expression for the CRB of the demixing matrix directly from its definition. A simulation study comparing ICA estimators with the CRB is given.
doi_str_mv 10.1109/TSP.2007.910484
format Article
fullrecord <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_miscellaneous_1671281707</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1671281707</sourcerecordid><originalsourceid>FETCH-proquest_miscellaneous_16712817073</originalsourceid><addsrcrecordid>eNqVi70OgjAURjto4u_s2tEFvBeqhVEJRjejDG6k0ZpgSou9kujbi4kv4PKdM5yPsRlCiAjpojgdwghAhimCSESPDRGWcbBM5HnARkR3ABQiXQ3ZNnN1oy5PnnlVr706Ksc3rrVXnr8ar4kqZ_nNeb63V93obmzXdh9nv7a2yrypognr35QhPf1xzObbvMh2QePdo9X0LOuKLtoYZbVrqcSVxChBCTL-I_0ADVtD8A</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1671281707</pqid></control><display><type>article</type><title>Compact CramAraRao Bound Expression for Independent Component Analysis</title><source>IEEE Electronic Library (IEL)</source><creator>Ollila, E ; Kim, Hyon-Jung ; Koivunen, V</creator><creatorcontrib>Ollila, E ; Kim, Hyon-Jung ; Koivunen, V</creatorcontrib><description>Despite of the increased interest in independent component analysis (ICA) during the past two decades, a simple closed form expression of the Cramer-Rao bound (CRB) for the demixing matrix estimation has not been established in the open literature. In the present paper we fill this gap by deriving a simple closed-form expression for the CRB of the demixing matrix directly from its definition. A simulation study comparing ICA estimators with the CRB is given.</description><identifier>ISSN: 1053-587X</identifier><identifier>DOI: 10.1109/TSP.2007.910484</identifier><language>eng</language><subject>Cramer-Rao bounds ; Demixing ; Estimators ; Exact solutions ; Independent component analysis ; Mathematical analysis ; Signal processing ; Simulation</subject><ispartof>IEEE transactions on signal processing, 2008-01, Vol.56 (4)</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Ollila, E</creatorcontrib><creatorcontrib>Kim, Hyon-Jung</creatorcontrib><creatorcontrib>Koivunen, V</creatorcontrib><title>Compact CramAraRao Bound Expression for Independent Component Analysis</title><title>IEEE transactions on signal processing</title><description>Despite of the increased interest in independent component analysis (ICA) during the past two decades, a simple closed form expression of the Cramer-Rao bound (CRB) for the demixing matrix estimation has not been established in the open literature. In the present paper we fill this gap by deriving a simple closed-form expression for the CRB of the demixing matrix directly from its definition. A simulation study comparing ICA estimators with the CRB is given.</description><subject>Cramer-Rao bounds</subject><subject>Demixing</subject><subject>Estimators</subject><subject>Exact solutions</subject><subject>Independent component analysis</subject><subject>Mathematical analysis</subject><subject>Signal processing</subject><subject>Simulation</subject><issn>1053-587X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2008</creationdate><recordtype>article</recordtype><recordid>eNqVi70OgjAURjto4u_s2tEFvBeqhVEJRjejDG6k0ZpgSou9kujbi4kv4PKdM5yPsRlCiAjpojgdwghAhimCSESPDRGWcbBM5HnARkR3ABQiXQ3ZNnN1oy5PnnlVr706Ksc3rrVXnr8ar4kqZ_nNeb63V93obmzXdh9nv7a2yrypognr35QhPf1xzObbvMh2QePdo9X0LOuKLtoYZbVrqcSVxChBCTL-I_0ADVtD8A</recordid><startdate>20080101</startdate><enddate>20080101</enddate><creator>Ollila, E</creator><creator>Kim, Hyon-Jung</creator><creator>Koivunen, V</creator><scope>7SC</scope><scope>7SP</scope><scope>8FD</scope><scope>F28</scope><scope>FR3</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20080101</creationdate><title>Compact CramAraRao Bound Expression for Independent Component Analysis</title><author>Ollila, E ; Kim, Hyon-Jung ; Koivunen, V</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_miscellaneous_16712817073</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2008</creationdate><topic>Cramer-Rao bounds</topic><topic>Demixing</topic><topic>Estimators</topic><topic>Exact solutions</topic><topic>Independent component analysis</topic><topic>Mathematical analysis</topic><topic>Signal processing</topic><topic>Simulation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ollila, E</creatorcontrib><creatorcontrib>Kim, Hyon-Jung</creatorcontrib><creatorcontrib>Koivunen, V</creatorcontrib><collection>Computer and Information Systems Abstracts</collection><collection>Electronics &amp; Communications Abstracts</collection><collection>Technology Research Database</collection><collection>ANTE: Abstracts in New Technology &amp; Engineering</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts – Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>IEEE transactions on signal processing</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ollila, E</au><au>Kim, Hyon-Jung</au><au>Koivunen, V</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Compact CramAraRao Bound Expression for Independent Component Analysis</atitle><jtitle>IEEE transactions on signal processing</jtitle><date>2008-01-01</date><risdate>2008</risdate><volume>56</volume><issue>4</issue><issn>1053-587X</issn><abstract>Despite of the increased interest in independent component analysis (ICA) during the past two decades, a simple closed form expression of the Cramer-Rao bound (CRB) for the demixing matrix estimation has not been established in the open literature. In the present paper we fill this gap by deriving a simple closed-form expression for the CRB of the demixing matrix directly from its definition. A simulation study comparing ICA estimators with the CRB is given.</abstract><doi>10.1109/TSP.2007.910484</doi></addata></record>
fulltext fulltext
identifier ISSN: 1053-587X
ispartof IEEE transactions on signal processing, 2008-01, Vol.56 (4)
issn 1053-587X
language eng
recordid cdi_proquest_miscellaneous_1671281707
source IEEE Electronic Library (IEL)
subjects Cramer-Rao bounds
Demixing
Estimators
Exact solutions
Independent component analysis
Mathematical analysis
Signal processing
Simulation
title Compact CramAraRao Bound Expression for Independent Component Analysis
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-09T09%3A43%3A05IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Compact%20CramAraRao%20Bound%20Expression%20for%20Independent%20Component%20Analysis&rft.jtitle=IEEE%20transactions%20on%20signal%20processing&rft.au=Ollila,%20E&rft.date=2008-01-01&rft.volume=56&rft.issue=4&rft.issn=1053-587X&rft_id=info:doi/10.1109/TSP.2007.910484&rft_dat=%3Cproquest%3E1671281707%3C/proquest%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1671281707&rft_id=info:pmid/&rfr_iscdi=true