• DocumentCode
    1134360
  • Title

    Random Discrete Fractional Fourier Transform

  • Author

    Pei, Soo-Chang ; Hsue, Wen-Liang

  • Author_Institution
    Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan
  • Volume
    16
  • Issue
    12
  • fYear
    2009
  • Firstpage
    1015
  • Lastpage
    1018
  • Abstract
    In this letter, a new commuting matrix with random discrete Fourier transform (DFT) eigenvectors is first constructed. A random discrete fractional Fourier transform (RDFRFT) kernel matrix with random DFT eigenvectors and eigenvalues is then proposed. The RDFRFT has an important feature that the magnitude and phase of its transform output are both random. As an application example, a security-enhanced image encryption scheme based on the RDFRFT is illustrated.
  • Keywords
    cryptography; discrete Fourier transforms; eigenvalues and eigenfunctions; image processing; eigenvectors and eigenvalues; kernel matrix; random discrete fractional Fourier transform; security-enhanced image encryption scheme; Commuting matrix; discrete Fourier transform; discrete fractional Fourier transform; eigenvector;
  • fLanguage
    English
  • Journal_Title
    Signal Processing Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1070-9908
  • Type

    jour

  • DOI
    10.1109/LSP.2009.2027646
  • Filename
    5164994
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1134360