• DocumentCode
    1115408
  • Title

    Asymptotic Properties of Discrete Unitary Transforms

  • Author

    Yemini, Yechiam ; Pearl, Judea

  • Author_Institution
    MEMBER, IEEE, Engineering and Applied Science, University of California, Los Angeles, CA 90024; Information Science Institute, Marina Del Rey, CA.
  • Issue
    4
  • fYear
    1979
  • Firstpage
    366
  • Lastpage
    371
  • Abstract
    A method for studying the asymptotic behavior of discrete transformations is developed using numerical quadrature theory. This method allows a more convenient examination of the correlation properties of common unitary transforms for large block sizes. As a practical result of this method it is shown that the discrete cosine transform is asymptotically optimal for all finite-order Markov signals.
  • Keywords
    Covariance matrix; Decorrelation; Degradation; Discrete Fourier transforms; Discrete cosine transforms; Discrete transforms; Fourier transforms; Karhunen-Loeve transforms; Signal processing; Statistics; Discrete cosine transform; discrete Fourier transform; signal processing; unitary transform;
  • fLanguage
    English
  • Journal_Title
    Pattern Analysis and Machine Intelligence, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0162-8828
  • Type

    jour

  • DOI
    10.1109/TPAMI.1979.4766945
  • Filename
    4766945
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1115408