• DocumentCode
    80656
  • Title

    Discretized Gabor Frames of Totally Positive Functions

  • Author

    Bannert, Severin ; Grochenig, Karlheinz ; Stockler, Joachim

  • Author_Institution
    Dept. of Math., Univ. of Vienna, Vienna, Austria
  • Volume
    60
  • Issue
    1
  • fYear
    2014
  • fDate
    Jan. 2014
  • Firstpage
    159
  • Lastpage
    169
  • Abstract
    In this paper, a large class of universal windows for Gabor frames (Weyl-Heisenberg frames) is constructed. These windows have the fundamental property that every overcritical rectangular lattice generates a Gabor frame. Likewise, every undercritical rectangular lattice generates a Riesz sequence.
  • Keywords
    OFDM modulation; signal processing; Riesz sequence; Weyl-Heisenberg frame; discretized Gabor frame; totally positive function; undercritical rectangular lattice; Fourier transforms; Lattices; OFDM; Shape; Time-frequency analysis; Wireless communication; Dual window; Gabor frame; Riesz sequence; Weyl-Heisenberg frame; totally positive function; window function;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2013.2288640
  • Filename
    6655889
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=80656