• DocumentCode
    2804923
  • Title

    The finite field fractional Fourier transform

  • Author

    Lima, Juliano B. ; de Souza, R.M.C.

  • Author_Institution
    Univ. of Pernambuco, Recife, Brazil
  • fYear
    2010
  • fDate
    14-19 March 2010
  • Firstpage
    3670
  • Lastpage
    3673
  • Abstract
    In this paper, a finite field version for the fractional Fourier transform is introduced. We show that, in some aspects, the finite field fractional Fourier transform (4FT) is in perfect analogy with the discrete fractional Fourier transform. On the other hand, we consider some definitions and properties from the finite field context which allow us to discuss particularities of the 4FT.
  • Keywords
    discrete Fourier transforms; 4FT particularity; discrete fractional Fourier transform; finite field fractional Fourier transform; Cryptography; Discrete Fourier transforms; Discrete transforms; Fourier transforms; Galois fields; Image sampling; Optical sensors; Optical signal processing; Signal sampling; Stimulated emission; Fractional Fourier transform; eigenstructure; finite fields;
  • 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.2010.5495888
  • Filename
    5495888