• DocumentCode
    1773143
  • Title

    Noncommutative algebra to signal processing

  • Author

    Glazunov, Nikolaj ; Yanovsky, Felix

  • Author_Institution
    Dept. of Electron., Nat. Aviation Univ., Kiev, Ukraine
  • fYear
    2014
  • fDate
    16-18 June 2014
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    In this paper we review mathematical models and methods to digital signal processing and investigate some new problems which are connected with noncommutativity of corresponding algebraic structures. Most considerations relate to the theory of digital signal processing from group theoretic perspective.
  • Keywords
    group theory; mathematical analysis; signal processing; algebraic structure noncommutativity; digital signal processing theory; group theoretic perspective; mathematical methods; mathematical models; Algebra; Convolution; Digital signal processing; Filtering theory; Finite element analysis; Fourier transforms; Radar; Pontryagin duality; character of the group; commutative group; convolution; digital signal processing; discrite Fourier transform; linear representation; noncommutative group;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Radar Symposium (IRS), 2014 15th International
  • Conference_Location
    Gdansk
  • Print_ISBN
    978-617-607-552-3
  • Type

    conf

  • DOI
    10.1109/IRS.2014.6869289
  • Filename
    6869289