• DocumentCode
    715422
  • Title

    Unique factorization and controllability of tail-biting trellis realizations via controller granule decompositions

  • Author

    Forney, G. David

  • Author_Institution
    Lab. for Inf. & Decision Syst., Massachusetts Inst. of Technol., Cambridge, MA, USA
  • fYear
    2015
  • fDate
    April 26 2015-May 1 2015
  • Firstpage
    1
  • Lastpage
    5
  • Abstract
    The Conti-Boston factorization theorem (CBFT) for linear tail-biting trellis realizations is extended to group realizations with a new and simpler proof, based on a controller granule decomposition of the behavior and known controllability results for group realizations. Further controllability results are given; e.g., a trellis realization is controllable if and only if its top (controllability) granule is trivial.
  • Keywords
    matrix decomposition; trellis codes; Conti-Boston factorization theorem; controller granule decompositions; tail-biting trellis realizations; unique factorization; Aerospace electronics; Controllability; Indexes; Kernel; Legged locomotion; Trajectory; Zinc;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory Workshop (ITW), 2015 IEEE
  • Conference_Location
    Jerusalem
  • Print_ISBN
    978-1-4799-5524-4
  • Type

    conf

  • DOI
    10.1109/ITW.2015.7133082
  • Filename
    7133082
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=715422