• DocumentCode
    929492
  • Title

    Asymptotic rate-distortion functions for coding precedence relations (Corresp.)

  • Author

    Crolotte, Alain ; Pearl, Judea

  • Volume
    25
  • Issue
    1
  • fYear
    1979
  • fDate
    1/1/1979 12:00:00 AM
  • Firstpage
    80
  • Lastpage
    82
  • Abstract
    An improved analysis for an information system is described in which the input and output alphabets consist of (equiprobable) ordered lists of m items, with two distortion criteria: 1) the fraction of item-pairs found out of order and 2) the fraction of items found in wrong positions. For the former it is shown that, as m \\rightarrow \\infty , the rate-distortion function R_{1} (D) is equivalent to mG(D) with, for small D , G(D)=\\log (2/D)-2+ O(D) . For the latter, R_{2} (D) = m \\log m(1 - D) + m(l - D)[\\log (1 - D) - 1] + o(m) .
  • Keywords
    Permutations; Rate-distortion theory; Decoding; Equations; Helium; Information analysis; Information systems; Out of order; Rate-distortion;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1979.1055982
  • Filename
    1055982
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=929492