• DocumentCode
    3607828
  • Title

    Translation on Graphs: An Isometric Shift Operator

  • Author

    Girault, Benjamin ; Goncalves, Paulo ; Fleury, Eric

  • Author_Institution
    Lab. de l´Inf. du Parallelisme, Univ. de Lyon, Lyon, France
  • Volume
    22
  • Issue
    12
  • fYear
    2015
  • Firstpage
    2416
  • Lastpage
    2420
  • Abstract
    In this letter, we propose a new shift operator for graph signals, enforcing that our operator is isometric. Doing so, we ensure that as many properties of the time shift as possible get carried over. Finally, we show that our operator behaves reasonably for graph signals.
  • Keywords
    graph theory; signal processing; graph signal processing; isometric shift operator; time shift properties; Eigenvalues and eigenfunctions; Fourier transforms; Laplace equations; Signal processing; Symmetric matrices; Time series analysis; Time-frequency analysis; Graph signal processing; graph translation;
  • fLanguage
    English
  • Journal_Title
    Signal Processing Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1070-9908
  • Type

    jour

  • DOI
    10.1109/LSP.2015.2488279
  • Filename
    7293613
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3607828