• DocumentCode
    2805193
  • Title

    Time-frequency scaling property of Discrete Fourier Transform (DFT)

  • Author

    Talwalkar, Sumit A. ; Marple, S. Lawrence, Jr.

  • Author_Institution
    Motorola, Inc., IL, USA
  • fYear
    2010
  • fDate
    14-19 March 2010
  • Firstpage
    3658
  • Lastpage
    3661
  • Abstract
    This paper presents the analogue of the time or frequency scaling theorem of continuous time/frequency Fourier Transform (FT) to the realm of Discrete Fourier Transform (DFT). The scaling property applies to scaling by integers which are relatively prime to the length of the DFT. The time reversal property of DFT is identified as a special case of this theorem.
  • Keywords
    discrete Fourier transforms; time-frequency analysis; DFT; discrete Fourier transform; time reversal property; time-frequency scaling property; Arithmetic; Convolution; Discrete Fourier transforms; Discrete transforms; Fourier transforms; H infinity control; Interpolation; Linear systems; Linearity; Time frequency analysis; DFT; Time/Frequency Scaling;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Acoustics Speech and Signal Processing (ICASSP), 2010 IEEE International Conference on
  • Conference_Location
    Dallas, TX
  • ISSN
    1520-6149
  • Print_ISBN
    978-1-4244-4295-9
  • Electronic_ISBN
    1520-6149
  • Type

    conf

  • DOI
    10.1109/ICASSP.2010.5495902
  • Filename
    5495902