<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-01367695</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-20T03:12:53+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Variance estimation of modal parameters from input/output covariance-driven subspace identification</title>
            <author role="aut">
              <persName>
                <forename type="first">Philippe</forename>
                <surname>Mellinger</surname>
              </persName>
              <idno type="idhal" notation="numeric">766540</idno>
              <idno type="halauthorid" notation="string">647250-766540</idno>
              <idno type="IDREF">https://www.idref.fr/184529808</idno>
              <affiliation ref="#struct-119523"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Michael</forename>
                <surname>Döhler</surname>
              </persName>
              <email type="md5">8bead8b4c1e2b9454e86a2b4d10f8471</email>
              <email type="domain">inria.fr</email>
              <idno type="idhal" notation="string">michael-doehler</idno>
              <idno type="idhal" notation="numeric">2175</idno>
              <idno type="halauthorid" notation="string">22492-2175</idno>
              <idno type="ORCID">https://orcid.org/0000-0003-4844-5474</idno>
              <idno type="IDREF">https://www.idref.fr/159299306</idno>
              <affiliation ref="#struct-118032"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Laurent</forename>
                <surname>Mevel</surname>
              </persName>
              <email type="md5">b5e4a468869b48aa12d342f34f0c3177</email>
              <email type="domain">inria.fr</email>
              <idno type="idhal" notation="string">laurent-mevel</idno>
              <idno type="idhal" notation="numeric">14387</idno>
              <idno type="halauthorid" notation="string">15077-14387</idno>
              <idno type="IDREF">https://www.idref.fr/093658907</idno>
              <affiliation ref="#struct-118032"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Michael</forename>
                <surname>Döhler</surname>
              </persName>
              <email type="md5">8bead8b4c1e2b9454e86a2b4d10f8471</email>
              <email type="domain">inria.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2016-09-16 15:28:37</date>
              <date type="whenModified">2025-03-28 03:09:14</date>
              <date type="whenReleased">2016-09-16 15:37:39</date>
              <date type="whenProduced">2016-09-19</date>
              <date type="whenEndEmbargoed">2016-09-16</date>
              <ref type="file" target="https://inria.hal.science/hal-01367695v1/document">
                <date notBefore="2016-09-16"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://inria.hal.science/hal-01367695v1/file/paper2.pdf" id="file-1367695-1448726">
                <date notBefore="2016-09-16"/>
              </ref>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="155460">
                <persName>
                  <forename>Michael</forename>
                  <surname>Döhler</surname>
                </persName>
                <email type="md5">8bead8b4c1e2b9454e86a2b4d10f8471</email>
                <email type="domain">inria.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-01367695</idno>
            <idno type="halUri">https://inria.hal.science/hal-01367695</idno>
            <idno type="halBibtex">mellinger:hal-01367695</idno>
            <idno type="halRefHtml">&lt;i&gt;ISMA - 27th Conference on Noise and Vibration Engineering&lt;/i&gt;, Sep 2016, Leuven, Belgium</idno>
            <idno type="halRef">ISMA - 27th Conference on Noise and Vibration Engineering, Sep 2016, Leuven, Belgium</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-1367695-1448726"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="CEA">CEA - Commissariat à l'énergie atomique</idno>
            <idno type="stamp" n="INRIA">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="INRIA-RENNES">INRIA Rennes - Bretagne Atlantique</idno>
            <idno type="stamp" n="INRIA_TEST">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="UNAM">l'unam - université nantes angers le mans</idno>
            <idno type="stamp" n="TESTALAIN1">TESTALAIN1</idno>
            <idno type="stamp" n="IFSTTAR">Ifsttar</idno>
            <idno type="stamp" n="DAM" corresp="CEA">Direction des applications militaires</idno>
            <idno type="stamp" n="INRIA2">INRIA 2</idno>
            <idno type="stamp" n="INRIA-RENGRE">INRIA-RENGRE</idno>
            <idno type="stamp" n="UNIV-EIFFEL">Université Gustave Eiffel</idno>
            <idno type="stamp" n="IFSTTAR-UNIVEIFFEL">Institut Français des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux</idno>
            <idno type="stamp" n="COSYS">Composants et systèmes</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="invited" n="0">No</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
            <note type="proceedings" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Variance estimation of modal parameters from input/output covariance-driven subspace identification</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Philippe</forename>
                    <surname>Mellinger</surname>
                  </persName>
                  <idno type="idhal" notation="numeric">766540</idno>
                  <idno type="halauthorid" notation="string">647250-766540</idno>
                  <idno type="IDREF">https://www.idref.fr/184529808</idno>
                  <affiliation ref="#struct-119523"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Michael</forename>
                    <surname>Döhler</surname>
                  </persName>
                  <email type="md5">8bead8b4c1e2b9454e86a2b4d10f8471</email>
                  <email type="domain">inria.fr</email>
                  <idno type="idhal" notation="string">michael-doehler</idno>
                  <idno type="idhal" notation="numeric">2175</idno>
                  <idno type="halauthorid" notation="string">22492-2175</idno>
                  <idno type="ORCID">https://orcid.org/0000-0003-4844-5474</idno>
                  <idno type="IDREF">https://www.idref.fr/159299306</idno>
                  <affiliation ref="#struct-118032"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Laurent</forename>
                    <surname>Mevel</surname>
                  </persName>
                  <email type="md5">b5e4a468869b48aa12d342f34f0c3177</email>
                  <email type="domain">inria.fr</email>
                  <idno type="idhal" notation="string">laurent-mevel</idno>
                  <idno type="idhal" notation="numeric">14387</idno>
                  <idno type="halauthorid" notation="string">15077-14387</idno>
                  <idno type="IDREF">https://www.idref.fr/093658907</idno>
                  <affiliation ref="#struct-118032"/>
                </author>
              </analytic>
              <monogr>
                <meeting>
                  <title>ISMA - 27th Conference on Noise and Vibration Engineering</title>
                  <date type="start">2016-09-19</date>
                  <date type="end">2016-09-21</date>
                  <settlement>Leuven</settlement>
                  <country key="BE">Belgium</country>
                </meeting>
                <imprint/>
              </monogr>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <classCode scheme="halDomain" n="spi.meca.vibr">Engineering Sciences [physics]/Mechanics [physics.med-ph]/Vibrations [physics.class-ph]</classCode>
              <classCode scheme="halDomain" n="stat.ap">Statistics [stat]/Applications [stat.AP]</classCode>
              <classCode scheme="halTypology" n="COMM">Conference papers</classCode>
              <classCode scheme="halOldTypology" n="COMM">Conference papers</classCode>
              <classCode scheme="halTreeTypology" n="COMM">Conference papers</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>For Operational Modal Analysis (OMA), the vibration response of a structure from ambient and unknown ex-citation is measured and used to estimate the modal parameters. For OMA with eXogenous inputs (OMAX), some of the inputs are known in addition, which are considered as realizations of a stochastic process. When identifying the modal parameters from noisy measurement data, the information on their uncertainty is most relevant. Previously, a method for variance estimation has been developed for the output-only case with covariance-driven subspace identification. In this paper, a recent extension of this method for the in-put/output covariance-driven subspace algorithm is discussed. The resulting variance expressions are easy to evaluate and computationally tractable when using an efficient implementation. Based on Monte Carlo simulations, the quality of identification and the accuracy of variance estimation are evaluated. It is shown how the input information leads to better identification results and lower uncertainties.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-119523" status="VALID">
          <orgName>DAM Île-de-France</orgName>
          <orgName type="acronym">DAM/DIF</orgName>
          <desc>
            <address>
              <addrLine>CEA Bruyères-le-Châtel 91297 Arpajon cedex</addrLine>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation name="DAM/DIF" active="#struct-5981" type="direct"/>
            <relation name="DAM" active="#struct-300016" type="indirect"/>
          </listRelation>
        </org>
        <org type="researchteam" xml:id="struct-118032" status="OLD">
          <idno type="RNSR">200920933U</idno>
          <orgName>Statistical Inference for Structural Health Monitoring</orgName>
          <orgName type="acronym">I4S</orgName>
          <date type="start">2013-01-01</date>
          <date type="end">2016-12-31</date>
          <desc>
            <address>
              <addrLine>Campus de Beaulieu 35042 Rennes cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/equipes/i4s</ref>
          </desc>
          <listRelation>
            <relation active="#struct-221978" type="direct"/>
            <relation active="#struct-222110" type="indirect"/>
            <relation active="#struct-301088" type="indirect"/>
            <relation active="#struct-301358" type="indirect"/>
            <relation active="#struct-301713" type="indirect"/>
            <relation active="#struct-419153" type="direct"/>
            <relation active="#struct-300009" type="indirect"/>
          </listRelation>
        </org>
        <org type="regrouplaboratory" xml:id="struct-5981" status="VALID">
          <idno type="IdRef">026372096</idno>
          <idno type="ISNI">0000000119569481</idno>
          <idno type="ROR">https://ror.org/00kn4eb29</idno>
          <idno type="Wikidata">Q2931222</idno>
          <orgName>Direction des Applications Militaires</orgName>
          <orgName type="acronym">DAM</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">http://www-dam.cea.fr/</ref>
          </desc>
          <listRelation>
            <relation name="DAM" active="#struct-300016" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300016" status="VALID">
          <idno type="IdRef">026372061</idno>
          <idno type="ISNI">0000000122998025</idno>
          <idno type="ROR">https://ror.org/00jjx8s55</idno>
          <idno type="Wikidata">Q868550</idno>
          <orgName>Commissariat à l'énergie atomique et aux énergies alternatives</orgName>
          <orgName type="acronym">CEA</orgName>
          <desc>
            <address>
              <addrLine>Centre de SaclayCentre de GrenobleCentre de Cadaracheetc</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.cea.fr/</ref>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-221978" status="OLD">
          <orgName>Département Composants et Systèmes</orgName>
          <orgName type="acronym">IFSTTAR/COSYS</orgName>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>14-20 Boulevard Newton - Cité Descartes, Champs sur Marne - F-77447 Marne la Vallée Cedex 2</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ifsttar.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-222110" type="direct"/>
            <relation active="#struct-301088" type="direct"/>
            <relation active="#struct-301358" type="direct"/>
            <relation active="#struct-301713" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-222110" status="OLD">
          <idno type="ROR">https://ror.org/02xwvzv71</idno>
          <orgName>Institut Français des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux</orgName>
          <orgName type="acronym">IFSTTAR</orgName>
          <date type="start">2011-01-01</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>14-20 Boulevard Newton - Cité Descartes, Champs sur Marne - F-77447 Marne la Vallée Cedex 2</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ifsttar.fr/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-301088" status="VALID">
          <idno type="ROR">https://ror.org/01rk35k63</idno>
          <orgName>Université de Lyon</orgName>
          <desc>
            <address>
              <addrLine>92 rue Pasteur - CS 30122, 69361 Lyon Cedex 07</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.universite-lyon.fr/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-301358" status="OLD">
          <idno type="IdRef">187401039</idno>
          <orgName>PRES Université Nantes Angers Le Mans</orgName>
          <orgName type="acronym">UNAM</orgName>
          <date type="start">2008-12-31</date>
          <date type="end">2016-01-01</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
        <org type="institution" xml:id="struct-301713" status="OLD">
          <orgName>PRES Université Lille Nord de France</orgName>
          <date type="start">2009-01-01</date>
          <date type="end">2014-12-31</date>
          <desc>
            <address>
              <addrLine>PRES - pôle de recherche et d'enseignement supérieur Université de Lille Nord de France</addrLine>
              <country key="FR"/>
            </address>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-419153" status="VALID">
          <idno type="RNSR">198018249C</idno>
          <idno type="ROR">https://ror.org/04040yw90</idno>
          <orgName>Centre Inria de l'Université de Rennes</orgName>
          <desc>
            <address>
              <addrLine>Campus de beaulieu35042 Rennes cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/centre/rennes</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300009" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300009" status="VALID">
          <idno type="ROR">https://ror.org/02kvxyf05</idno>
          <orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
          <orgName type="acronym">Inria</orgName>
          <desc>
            <address>
              <addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/en/</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>