On moments of complex Wishart and complex inverse Wishart distributed matrices
This paper addresses the calculation of moments of complex Wishart and complex inverse Wishart distributed random matrices. Complex Wishart and complex inverse Wishart distributed random matrices are used in applications like radar, sonar, or seismology in order to model the statistical properties o...
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creator | Maiwald, D. Kraus, D. |
description | This paper addresses the calculation of moments of complex Wishart and complex inverse Wishart distributed random matrices. Complex Wishart and complex inverse Wishart distributed random matrices are used in applications like radar, sonar, or seismology in order to model the statistical properties of complex sample covariance matrices and complex inverse sample covariance matrices, respectively. The moments of these random matrices are often needed e.g. in studies of asymptotic properties of parameter estimates. This paper gives a derivation of the probability density function of complex inverse Wishart distributed random matrices. Furthermore, strategies are outlined for the calculation of the moments of complex Wishart and complex inverse Wishart distributed matrices. |
doi_str_mv | 10.1109/ICASSP.1997.604712 |
format | Conference Proceeding |
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Complex Wishart and complex inverse Wishart distributed random matrices are used in applications like radar, sonar, or seismology in order to model the statistical properties of complex sample covariance matrices and complex inverse sample covariance matrices, respectively. The moments of these random matrices are often needed e.g. in studies of asymptotic properties of parameter estimates. This paper gives a derivation of the probability density function of complex inverse Wishart distributed random matrices. Furthermore, strategies are outlined for the calculation of the moments of complex Wishart and complex inverse Wishart distributed matrices.</description><identifier>ISSN: 1520-6149</identifier><identifier>ISBN: 0818679190</identifier><identifier>ISBN: 9780818679193</identifier><identifier>EISSN: 2379-190X</identifier><identifier>DOI: 10.1109/ICASSP.1997.604712</identifier><language>eng</language><publisher>Washington DC: IEEE</publisher><subject>Applied sciences ; Array signal processing ; Covariance matrix ; Exact sciences and technology ; Information, signal and communications theory ; Mathematical methods ; Position measurement ; Probability density function ; Radar applications ; Radar signal processing ; Seismic measurements ; Sensor arrays ; Signal processing ; Sonar applications ; Telecommunications and information theory</subject><ispartof>1997 IEEE International Conference on Acoustics, Speech, and Signal Processing, 1997, Vol.5, p.3817-3820 vol.5</ispartof><rights>1998 INIST-CNRS</rights><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/604712$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,780,784,789,790,2058,4050,4051,27925,54920</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/604712$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=2278753$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Maiwald, D.</creatorcontrib><creatorcontrib>Kraus, D.</creatorcontrib><title>On moments of complex Wishart and complex inverse Wishart distributed matrices</title><title>1997 IEEE International Conference on Acoustics, Speech, and Signal Processing</title><addtitle>ICASSP</addtitle><description>This paper addresses the calculation of moments of complex Wishart and complex inverse Wishart distributed random matrices. Complex Wishart and complex inverse Wishart distributed random matrices are used in applications like radar, sonar, or seismology in order to model the statistical properties of complex sample covariance matrices and complex inverse sample covariance matrices, respectively. The moments of these random matrices are often needed e.g. in studies of asymptotic properties of parameter estimates. This paper gives a derivation of the probability density function of complex inverse Wishart distributed random matrices. Furthermore, strategies are outlined for the calculation of the moments of complex Wishart and complex inverse Wishart distributed matrices.</description><subject>Applied sciences</subject><subject>Array signal processing</subject><subject>Covariance matrix</subject><subject>Exact sciences and technology</subject><subject>Information, signal and communications theory</subject><subject>Mathematical methods</subject><subject>Position measurement</subject><subject>Probability density function</subject><subject>Radar applications</subject><subject>Radar signal processing</subject><subject>Seismic measurements</subject><subject>Sensor arrays</subject><subject>Signal processing</subject><subject>Sonar applications</subject><subject>Telecommunications and information theory</subject><issn>1520-6149</issn><issn>2379-190X</issn><isbn>0818679190</isbn><isbn>9780818679193</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>1997</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNo9UE1Lw0AQXfwAa-0f6CkHr4kzO8l-HKVoFYoVWtBbme5ucKVJSzaK_nsDlc7lvZn3eDxGiClCgQj27nl2v1q9FmitLhSUGuWZGEnSNkcL7-fiGgwape2wXYgRVhJyhaW9EpOUPmGYqtIW1Ei8LNus2Teh7VO2rzO3bw678JO9xfTBXZ9x60-32H6HLoWT5mPqu7j96oPPGh6oC-lGXNa8S2Hyj2OxfnxYz57yxXI-dF7ksTSUSy9rD55Qs9dbGhjUhMo4kAjGoPNBalUCg2dmBbokAllJt3WWiJDG4vYYe-DkeFd33LqYNocuNtz9bqTURlc02KZHWwwhnNTjv-gPSBdcsA</recordid><startdate>1997</startdate><enddate>1997</enddate><creator>Maiwald, D.</creator><creator>Kraus, D.</creator><general>IEEE</general><general>IEEE Computer Society Press</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope><scope>IQODW</scope></search><sort><creationdate>1997</creationdate><title>On moments of complex Wishart and complex inverse Wishart distributed matrices</title><author>Maiwald, D. ; Kraus, D.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i483-2d2fd0d317ad7b30d30f3168c0210881cde27640a0daaa6074330252cbc933313</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>1997</creationdate><topic>Applied sciences</topic><topic>Array signal processing</topic><topic>Covariance matrix</topic><topic>Exact sciences and technology</topic><topic>Information, signal and communications theory</topic><topic>Mathematical methods</topic><topic>Position measurement</topic><topic>Probability density function</topic><topic>Radar applications</topic><topic>Radar signal processing</topic><topic>Seismic measurements</topic><topic>Sensor arrays</topic><topic>Signal processing</topic><topic>Sonar applications</topic><topic>Telecommunications and information theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Maiwald, D.</creatorcontrib><creatorcontrib>Kraus, D.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection><collection>Pascal-Francis</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Maiwald, D.</au><au>Kraus, D.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>On moments of complex Wishart and complex inverse Wishart distributed matrices</atitle><btitle>1997 IEEE International Conference on Acoustics, Speech, and Signal Processing</btitle><stitle>ICASSP</stitle><date>1997</date><risdate>1997</risdate><volume>5</volume><spage>3817</spage><epage>3820 vol.5</epage><pages>3817-3820 vol.5</pages><issn>1520-6149</issn><eissn>2379-190X</eissn><isbn>0818679190</isbn><isbn>9780818679193</isbn><abstract>This paper addresses the calculation of moments of complex Wishart and complex inverse Wishart distributed random matrices. Complex Wishart and complex inverse Wishart distributed random matrices are used in applications like radar, sonar, or seismology in order to model the statistical properties of complex sample covariance matrices and complex inverse sample covariance matrices, respectively. The moments of these random matrices are often needed e.g. in studies of asymptotic properties of parameter estimates. This paper gives a derivation of the probability density function of complex inverse Wishart distributed random matrices. Furthermore, strategies are outlined for the calculation of the moments of complex Wishart and complex inverse Wishart distributed matrices.</abstract><cop>Washington DC</cop><pub>IEEE</pub><doi>10.1109/ICASSP.1997.604712</doi><tpages>4</tpages></addata></record> |
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ispartof | 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing, 1997, Vol.5, p.3817-3820 vol.5 |
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source | IEEE Electronic Library (IEL) Conference Proceedings |
subjects | Applied sciences Array signal processing Covariance matrix Exact sciences and technology Information, signal and communications theory Mathematical methods Position measurement Probability density function Radar applications Radar signal processing Seismic measurements Sensor arrays Signal processing Sonar applications Telecommunications and information theory |
title | On moments of complex Wishart and complex inverse Wishart distributed matrices |
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