<?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-00746636</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="2026-05-18T01:40:34+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">A Novel Construction of Multi-Group Decodable Space-Time Block Codes</title>
            <author role="aut">
              <persName>
                <forename type="first">Amr</forename>
                <surname>Ismail</surname>
              </persName>
              <idno type="halauthorid">421539-0</idno>
              <affiliation ref="#struct-123689"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Jocelyn</forename>
                <surname>Fiorina</surname>
              </persName>
              <email type="md5">2657ea244794c80fc4d00c9b6dd000dd</email>
              <email type="domain">supelec.fr</email>
              <idno type="idhal" notation="string">jocelyn-fiorina</idno>
              <idno type="idhal" notation="numeric">7109</idno>
              <idno type="halauthorid" notation="string">6624-7109</idno>
              <idno type="IDREF">https://www.idref.fr/094965757</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-1365-6207</idno>
              <affiliation ref="#struct-123689"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Hikmet</forename>
                <surname>Sari</surname>
              </persName>
              <email type="md5">df085daff3948eeb4fc04c966cb53402</email>
              <email type="domain">supelec.fr</email>
              <idno type="idhal" notation="numeric">846636</idno>
              <idno type="halauthorid" notation="string">286688-846636</idno>
              <affiliation ref="#struct-123689"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Catherine</forename>
                <surname>Magnet</surname>
              </persName>
              <email type="md5">1a20e967a8852c2b638b1a0ea87e8c73</email>
              <email type="domain">supelec.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2012-10-29 14:40:41</date>
              <date type="whenModified">2024-05-28 08:30:17</date>
              <date type="whenReleased">2012-10-29 15:25:32</date>
              <date type="whenProduced">2012-05</date>
              <ref type="externalLink" target="http://arxiv.org/pdf/1204.3388"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="124037">
                <persName>
                  <forename>Catherine</forename>
                  <surname>Magnet</surname>
                </persName>
                <email type="md5">1a20e967a8852c2b638b1a0ea87e8c73</email>
                <email type="domain">supelec.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-00746636</idno>
            <idno type="halUri">https://centralesupelec.hal.science/hal-00746636</idno>
            <idno type="halBibtex">ismail:hal-00746636</idno>
            <idno type="halRefHtml">&lt;i&gt;IEEE Transactions on Communications&lt;/i&gt;, 2012, 60 (5), pp.1260-1267. &lt;a target="_blank" href="https://dx.doi.org/10.1109/TCOMM.2012.032012.100731"&gt;&amp;#x27E8;10.1109/TCOMM.2012.032012.100731&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">IEEE Transactions on Communications, 2012, 60 (5), pp.1260-1267. &amp;#x27E8;10.1109/TCOMM.2012.032012.100731&amp;#x27E9;</idno>
            <availability status="restricted"/>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="SUPELEC">SUPELEC</idno>
            <idno type="stamp" n="SUP_TEL" corresp="SUPELEC">TEL - Département Télécommunications</idno>
            <idno type="stamp" n="SUP_E3S">E3S - Supélec Sciences des Systèmes</idno>
            <idno type="stamp" n="CENTRALESUPELEC">Ecole CentraleSupélec</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">A Novel Construction of Multi-Group Decodable Space-Time Block Codes</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Amr</forename>
                    <surname>Ismail</surname>
                  </persName>
                  <idno type="halauthorid">421539-0</idno>
                  <affiliation ref="#struct-123689"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Jocelyn</forename>
                    <surname>Fiorina</surname>
                  </persName>
                  <email type="md5">2657ea244794c80fc4d00c9b6dd000dd</email>
                  <email type="domain">supelec.fr</email>
                  <idno type="idhal" notation="string">jocelyn-fiorina</idno>
                  <idno type="idhal" notation="numeric">7109</idno>
                  <idno type="halauthorid" notation="string">6624-7109</idno>
                  <idno type="IDREF">https://www.idref.fr/094965757</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-1365-6207</idno>
                  <affiliation ref="#struct-123689"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Hikmet</forename>
                    <surname>Sari</surname>
                  </persName>
                  <email type="md5">df085daff3948eeb4fc04c966cb53402</email>
                  <email type="domain">supelec.fr</email>
                  <idno type="idhal" notation="numeric">846636</idno>
                  <idno type="halauthorid" notation="string">286688-846636</idno>
                  <affiliation ref="#struct-123689"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">5365</idno>
                <idno type="issn">0090-6778</idno>
                <title level="j">IEEE Transactions on Communications</title>
                <imprint>
                  <publisher>Institute of Electrical and Electronics Engineers</publisher>
                  <biblScope unit="volume">60</biblScope>
                  <biblScope unit="issue">5</biblScope>
                  <biblScope unit="pp">1260-1267</biblScope>
                  <date type="datePub">2012-05</date>
                </imprint>
              </monogr>
              <idno type="arxiv">1204.3388</idno>
              <idno type="doi">10.1109/TCOMM.2012.032012.100731</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <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>Complex Orthogonal Design (COD) codes are known to have the lowest detection complexity among Space-Time Block Codes (STBCs). However, the rate of square COD codes decreases exponentially with the number of transmit antennas. The Quasi-Orthogonal Design (QOD) codes emerged to provide a compromise between rate and complexity as they offer higher rates compared to COD codes at the expense of an increase of decoding complexity through partially relaxing the orthogonality conditions. The QOD codes were then generalized with the so called g-symbol and g-group decodable STBCs where the number of orthogonal groups of symbols is no longer restricted to two as in the QOD case. However, the adopted approach for the construction of such codes is based on sufficient but not necessary conditions which may limit the achievable rates for any number of orthogonal groups. In this paper, we limit ourselves to the case of Unitary Weight (UW)-g-group decodable STBCs for 2a transmit antennas where the weight matrices are required to be single thread matrices with non-zero entries ∈{± 1,± j} and address the problem of finding the highest achievable rate for any number of orthogonal groups. This special type of weight matrices guarantees full symbol-wise diversity and subsumes a wide range of existing codes in the literature. We show that in this case an exhaustive search can be applied to find the maximum achievable rates for UW-g-group decodable STBCs with g&gt;;1. For this purpose, we extend our previously proposed approach for constructing UW-2-group decodable STBCs based on necessary and sufficient conditions to the case of UW-g-group decodable STBCs in a recursive manner.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-123689" status="OLD">
          <orgName>Supélec Sciences des Systèmes</orgName>
          <orgName type="acronym">E3S</orgName>
          <desc>
            <address>
              <addrLine>Plateau du Moulon - 3 rue Joliot-Curie  -  91192 GIF-SUR-YVETTE CEDEX</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.supelec.fr/342_p_14975/e3s-equipe.html</ref>
          </desc>
          <listRelation>
            <relation name="EA4454" active="#struct-303397" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-303397" status="VALID">
          <orgName>Ecole Supérieure d'Electricité - SUPELEC (FRANCE)</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>