<?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-00638787</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="2026-05-25T02:16:58+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">On the Use of First-order Autoregressive Modeling for Rayleigh Flat Fading Channel Estimation with Kalman Filter</title>
            <author role="aut">
              <persName>
                <forename type="first">Soukayna</forename>
                <surname>Ghandour - Haidar</surname>
              </persName>
              <email type="md5">32d1b49e2d502d7ffca0954073b59747</email>
              <email type="domain">gipsa-lab.grenoble-inp.fr</email>
              <idno type="idhal" notation="string">soukayna-ghandour-haidar</idno>
              <idno type="idhal" notation="numeric">3098</idno>
              <idno type="halauthorid" notation="string">12193-3098</idno>
              <idno type="IDREF">https://www.idref.fr/189486562</idno>
              <affiliation ref="#struct-389423"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Laurent</forename>
                <surname>Ros</surname>
              </persName>
              <email type="md5">a5a3e869991165b4d4e5adc8b8518145</email>
              <email type="domain">gipsa-lab.grenoble-inp.fr</email>
              <idno type="idhal" notation="string">laurent-ros</idno>
              <idno type="idhal" notation="numeric">20600</idno>
              <idno type="halauthorid" notation="string">2336-20600</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-5938-8244</idno>
              <idno type="IDREF">https://www.idref.fr/060237465</idno>
              <idno type="VIAF">https://viaf.org/viaf/192711530</idno>
              <idno type="ISNI">http://isni.org/isni/0000000139448089</idno>
              <affiliation ref="#struct-389423"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Jean-Marc</forename>
                <surname>Brossier</surname>
              </persName>
              <email type="md5">6e0edb6160fb581779d8d533564683a6</email>
              <email type="domain">gipsa-lab.grenoble-inp.fr</email>
              <ptr type="url" target="http://www.gipsa-lab.grenoble-inp.fr/page_pro.php?vid=109"/>
              <idno type="idhal" notation="string">jean-marc-brossier</idno>
              <idno type="idhal" notation="numeric">928837</idno>
              <idno type="halauthorid" notation="string">137354-928837</idno>
              <idno type="IDREF">https://www.idref.fr/034993509</idno>
              <idno type="VIAF">https://viaf.org/viaf/17339963</idno>
              <idno type="ISNI">http://isni.org/isni/0000000006916758</idno>
              <idno type="ORCID">https://orcid.org/0000-0001-9040-6255</idno>
              <affiliation ref="#struct-389423"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Laurent</forename>
                <surname>Ros</surname>
              </persName>
              <email type="md5">a5a3e869991165b4d4e5adc8b8518145</email>
              <email type="domain">gipsa-lab.grenoble-inp.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2011-11-07 13:01:36</date>
              <date type="whenModified">2025-09-27 19:07:53</date>
              <date type="whenReleased">2011-11-07 13:32:00</date>
              <date type="whenProduced">2012-02</date>
              <date type="whenEndEmbargoed">2011-11-07</date>
              <ref type="file" target="https://hal.science/hal-00638787v1/document">
                <date notBefore="2011-11-07"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.science/hal-00638787v1/file/Soukayna-Ghandour-Haidar_final_draft.pdf" id="file-638787-1061312">
                <date notBefore="2011-11-07"/>
              </ref>
              <ref type="externalLink" target="http://hal.inria.fr/docs/00/63/87/87/PDF/Soukayna-Ghandour-Haidar_final_draft.pdf"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="110725">
                <persName>
                  <forename>Laurent</forename>
                  <surname>Ros</surname>
                </persName>
                <email type="md5">a5a3e869991165b4d4e5adc8b8518145</email>
                <email type="domain">gipsa-lab.grenoble-inp.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-00638787</idno>
            <idno type="halUri">https://hal.science/hal-00638787</idno>
            <idno type="halBibtex">ghandourhaidar:hal-00638787</idno>
            <idno type="halRefHtml">&lt;i&gt;Signal Processing&lt;/i&gt;, 2012, 92 (2), pp.601-606. &lt;a target="_blank" href="https://dx.doi.org/10.1016/j.sigpro.2011.08.014"&gt;&amp;#x27E8;10.1016/j.sigpro.2011.08.014&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Signal Processing, 2012, 92 (2), pp.601-606. &amp;#x27E8;10.1016/j.sigpro.2011.08.014&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-638787-1061312"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="UGA">HAL Grenoble Alpes</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="UNIV-GRENOBLE1">Université Joseph Fourier - Grenoble I</idno>
            <idno type="stamp" n="UNIV-PMF_GRENOBLE">Université Pierre-Mendès-France - Grenoble II</idno>
            <idno type="stamp" n="UNIV-GRENOBLE3">Université Stendhal - Grenoble III</idno>
            <idno type="stamp" n="INPG">Institut polytechnique de Grenoble</idno>
            <idno type="stamp" n="GIPSA">Grenoble Images Parole Signal Automatique</idno>
            <idno type="stamp" n="GIPSA-DIS" corresp="GIPSA">Département Image et Signal</idno>
            <idno type="stamp" n="GIPSA-CICS" corresp="GIPSA-DIS">CICS</idno>
            <idno type="stamp" n="UGA-TEST-BIS">UGA-TEST-BIS</idno>
            <idno type="stamp" n="UGA-TEST-TER">UGA-TEST-TER</idno>
            <idno type="stamp" n="UGA-TEST-QUATER">UGA-TEST-QUATER</idno>
            <idno type="stamp" n="TEST-UGA">TEST-UGA</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">On the Use of First-order Autoregressive Modeling for Rayleigh Flat Fading Channel Estimation with Kalman Filter</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Soukayna</forename>
                    <surname>Ghandour - Haidar</surname>
                  </persName>
                  <email type="md5">32d1b49e2d502d7ffca0954073b59747</email>
                  <email type="domain">gipsa-lab.grenoble-inp.fr</email>
                  <idno type="idhal" notation="string">soukayna-ghandour-haidar</idno>
                  <idno type="idhal" notation="numeric">3098</idno>
                  <idno type="halauthorid" notation="string">12193-3098</idno>
                  <idno type="IDREF">https://www.idref.fr/189486562</idno>
                  <affiliation ref="#struct-389423"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Laurent</forename>
                    <surname>Ros</surname>
                  </persName>
                  <email type="md5">a5a3e869991165b4d4e5adc8b8518145</email>
                  <email type="domain">gipsa-lab.grenoble-inp.fr</email>
                  <idno type="idhal" notation="string">laurent-ros</idno>
                  <idno type="idhal" notation="numeric">20600</idno>
                  <idno type="halauthorid" notation="string">2336-20600</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-5938-8244</idno>
                  <idno type="IDREF">https://www.idref.fr/060237465</idno>
                  <idno type="VIAF">https://viaf.org/viaf/192711530</idno>
                  <idno type="ISNI">http://isni.org/isni/0000000139448089</idno>
                  <affiliation ref="#struct-389423"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Jean-Marc</forename>
                    <surname>Brossier</surname>
                  </persName>
                  <email type="md5">6e0edb6160fb581779d8d533564683a6</email>
                  <email type="domain">gipsa-lab.grenoble-inp.fr</email>
                  <ptr type="url" target="http://www.gipsa-lab.grenoble-inp.fr/page_pro.php?vid=109"/>
                  <idno type="idhal" notation="string">jean-marc-brossier</idno>
                  <idno type="idhal" notation="numeric">928837</idno>
                  <idno type="halauthorid" notation="string">137354-928837</idno>
                  <idno type="IDREF">https://www.idref.fr/034993509</idno>
                  <idno type="VIAF">https://viaf.org/viaf/17339963</idno>
                  <idno type="ISNI">http://isni.org/isni/0000000006916758</idno>
                  <idno type="ORCID">https://orcid.org/0000-0001-9040-6255</idno>
                  <affiliation ref="#struct-389423"/>
                </author>
              </analytic>
              <monogr>
                <idno type="localRef">Département Images et Signal</idno>
                <idno type="halJournalId" status="VALID">8489</idno>
                <idno type="issn">0165-1684</idno>
                <idno type="eissn">1872-7557</idno>
                <title level="j">Signal Processing</title>
                <imprint>
                  <publisher>Elsevier</publisher>
                  <biblScope unit="volume">92</biblScope>
                  <biblScope unit="issue">2</biblScope>
                  <biblScope unit="pp">601-606</biblScope>
                  <date type="datePub">2012-02</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1016/j.sigpro.2011.08.014</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">Bayesian Cramér-Rao Bounds BCRB</term>
                <term xml:lang="en">Channel estimation</term>
                <term xml:lang="en">Autoregressive model</term>
                <term xml:lang="en">Kalman Filter</term>
                <term xml:lang="en">Jakes's spectrum</term>
                <term xml:lang="en">Rayleigh channel</term>
                <term xml:lang="en">Flat fading</term>
                <term xml:lang="en">Bayesian Cramér-Rao Bounds BCRB.</term>
              </keywords>
              <classCode scheme="halDomain" n="spi.signal">Engineering Sciences [physics]/Signal and Image processing</classCode>
              <classCode scheme="halDomain" n="info.info-ts">Computer Science [cs]/Signal and Image Processing</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>This letter deals with the estimation of a flat fading Rayleigh channel with Jakes's spectrum. The channel is approximated by a first-order autoregressive (AR(1)) model and tracked by a Kalman Filter (KF). The common method used in the literature to estimate the parameter of the AR(1) model is based on a Correlation Matching (CM) criterion. However, for slow fading variations, another criterion based on the Minimization of the Asymptotic Variance (MAV) of the KF is more appropriate, as already observed in few works [1]. This letter gives analytic justification by providing approximated closed-form expressions of the estimation variance for the CM and MAV criteria, and of the optimal AR(1) parameter.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="researchteam" xml:id="struct-389423" status="OLD">
          <orgName>GIPSA - Communication Information and Complex Systems</orgName>
          <orgName type="acronym">GIPSA-CICS</orgName>
          <date type="start">2010-01-01</date>
          <date type="end">2015-12-31</date>
          <desc>
            <address>
              <addrLine>GIPSA-lab, 11 rue des Mathématiques, Grenoble Campus BP46, F-38402 SAINT MARTIN D'HERES CEDEX</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.gipsa-lab.fr/cics.php</ref>
          </desc>
          <listRelation>
            <relation active="#struct-408340" type="direct"/>
            <relation active="#struct-24470" type="indirect"/>
            <relation active="#struct-3886" type="indirect"/>
            <relation active="#struct-5485" type="indirect"/>
            <relation active="#struct-51016" type="indirect"/>
            <relation active="#struct-89889" type="indirect"/>
            <relation name="UMR5216" active="#struct-441569" type="indirect"/>
          </listRelation>
        </org>
        <org type="department" xml:id="struct-408340" status="OLD">
          <orgName>Département Images et Signal</orgName>
          <orgName type="acronym">GIPSA-DIS</orgName>
          <date type="start">2007-01-01</date>
          <date type="end">2015-12-31</date>
          <desc>
            <address>
              <addrLine>11 rue des Mathématiques, Grenoble Campus BP46, 38402 SAINT MARTIN D'HERES</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.gipsa-lab.fr/recherche/departement-images-signal.php</ref>
          </desc>
          <listRelation>
            <relation active="#struct-24470" type="direct"/>
            <relation active="#struct-3886" type="indirect"/>
            <relation active="#struct-5485" type="indirect"/>
            <relation active="#struct-51016" type="indirect"/>
            <relation active="#struct-89889" type="indirect"/>
            <relation name="UMR5216" active="#struct-441569" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-24470" status="OLD">
          <idno type="IdRef">137251122</idno>
          <idno type="ISNI">0000000118823396 </idno>
          <idno type="RNSR">200711885T</idno>
          <idno type="ROR">https://ror.org/02wrme198</idno>
          <orgName>Grenoble Images Parole Signal Automatique</orgName>
          <orgName type="acronym">GIPSA-lab</orgName>
          <date type="start">2007-01-01</date>
          <date type="end">2015-12-31</date>
          <desc>
            <address>
              <addrLine>GIPSA-lab 11 rue des Mathématiques, Grenoble Campus BP46F-38402 SAINT MARTIN D'HERES CEDEX</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.gipsa-lab.inpg.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-3886" type="direct"/>
            <relation active="#struct-5485" type="direct"/>
            <relation active="#struct-51016" type="direct"/>
            <relation active="#struct-89889" type="direct"/>
            <relation name="UMR5216" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-3886" status="OLD">
          <idno type="IdRef">02640432X</idno>
          <idno type="ROR">https://ror.org/02f7wz369</idno>
          <orgName>Université Pierre Mendès France - Grenoble 2</orgName>
          <orgName type="acronym">UPMF</orgName>
          <date type="end">2015-12-31</date>
          <desc>
            <address>
              <addrLine>BP 47 - 38040 Grenoble Cedex 9</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.upmf-grenoble.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-5485" status="OLD">
          <idno type="IdRef">026404125</idno>
          <orgName>Université Stendhal - Grenoble 3</orgName>
          <date type="end">2015-12-31</date>
          <desc>
            <address>
              <addrLine>BP 25 38040 Grenoble Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.u-grenoble3.fr/stendhal/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-51016" status="OLD">
          <idno type="IdRef">026404796</idno>
          <idno type="ROR">https://ror.org/02aj0kh94</idno>
          <orgName>Université Joseph Fourier - Grenoble 1</orgName>
          <orgName type="acronym">UJF</orgName>
          <date type="end">2015-12-31</date>
          <desc>
            <address>
              <addrLine>BP 53 - 38041 Grenoble Cedex 9</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ujf-grenoble.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-89889" status="OLD">
          <idno type="IdRef">026388804</idno>
          <idno type="ROR">https://ror.org/05sbt2524</idno>
          <orgName>Institut polytechnique de Grenoble - Grenoble Institute of Technology</orgName>
          <orgName type="acronym">Grenoble INP</orgName>
          <date type="start">2007-01-01</date>
          <date type="end">2019-12-31</date>
          <desc>
            <address>
              <addrLine>46 avenue Félix Viallet 38031 Grenoble Cedex 1</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.grenoble-inp.fr/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>