Preprint Open Access

Union Bound Evaluation for Non-Binary Turbo Coded Modulations

Klaimi, R.; Nour, C.; Douillard, C.; Farah, J.


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  <identifier identifierType="URL">https://zenodo.org/record/3971652</identifier>
  <creators>
    <creator>
      <creatorName>Klaimi, R.</creatorName>
      <givenName>R.</givenName>
      <familyName>Klaimi</familyName>
      <affiliation>IEEE</affiliation>
    </creator>
    <creator>
      <creatorName>Nour, C.</creatorName>
      <givenName>C.</givenName>
      <familyName>Nour</familyName>
      <affiliation>IEEE</affiliation>
    </creator>
    <creator>
      <creatorName>Douillard, C.</creatorName>
      <givenName>C.</givenName>
      <familyName>Douillard</familyName>
      <affiliation>IEEE</affiliation>
    </creator>
    <creator>
      <creatorName>Farah, J.</creatorName>
      <givenName>J.</givenName>
      <familyName>Farah</familyName>
      <affiliation>IEEE</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Union Bound Evaluation for Non-Binary Turbo Coded Modulations</title>
  </titles>
  <publisher>Zenodo</publisher>
  <publicationYear>2020</publicationYear>
  <subjects>
    <subject>Non-binary turbo codes</subject>
    <subject>Euclidean distance spectrum</subject>
    <subject>Union bound</subject>
    <subject>Coded modulation</subject>
  </subjects>
  <dates>
    <date dateType="Issued">2020-08-04</date>
  </dates>
  <language>en</language>
  <resourceType resourceTypeGeneral="Preprint"/>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://zenodo.org/record/3971652</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1109/LCOMM.2020.2980268</relatedIdentifier>
    <relatedIdentifier relatedIdentifierType="URL" relationType="IsPartOf">https://zenodo.org/communities/epic_h2020</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="https://creativecommons.org/licenses/by/4.0/legalcode">Creative Commons Attribution 4.0 International</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">&lt;p&gt;A method to compute the truncated union bound of non-binary turbo codes mapped to high order modulations is proposed in this letter. It calls for the estimate of the truncated Euclidean distance spectrum. To this end, we identify the error events that limit the Euclidean distance of non-binary turbo codes based on memory-1 convolutional codes defined over GF(q), q &amp;gt; 2. Application examples are elaborated for codes over GF(64). The resulting bounds are found to accurately predict the asymptotic performance of the coded modulation scheme.&lt;/p&gt;</description>
  </descriptions>
  <fundingReferences>
    <fundingReference>
      <funderName>European Commission</funderName>
      <funderIdentifier funderIdentifierType="Crossref Funder ID">10.13039/100010661</funderIdentifier>
      <awardNumber awardURI="info:eu-repo/grantAgreement/EC/H2020/760150/">760150</awardNumber>
      <awardTitle>Enabling Practical Wireless Tb/s Communications with Next Generation Channel Coding</awardTitle>
    </fundingReference>
  </fundingReferences>
</resource>
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