• DocumentCode
    912751
  • Title

    An extension of the theorem of Kac, Murdock and Szegö to N dimensions (Corresp.)

  • Author

    Sakrison, D.

  • Volume
    15
  • Issue
    5
  • fYear
    1969
  • fDate
    9/1/1969 12:00:00 AM
  • Firstpage
    608
  • Lastpage
    610
  • Abstract
    The theorem of Kac, Murdock, and Szegö is useful in evaluating the capacity of a time-continuous channel or the rate distortion function of a random process. Here we prove an N -dimensional version of the theorem which is useful for evaluating the rate distortion function of a random field.
  • Keywords
    Image coding; Rate-distortion theory; Distribution functions; Eigenvalues and eigenfunctions; Fourier transforms; Gaussian channels; Hypercubes; Integral equations; Polynomials; Random processes; Rate-distortion; Tin;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1969.1054348
  • Filename
    1054348
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=912751