• DocumentCode
    934606
  • Title

    Multidimensional asymptotic quantization theory with r th power distortion measures

  • Author

    Bucklew, James A. ; Wise, Gary L.

  • Volume
    28
  • Issue
    2
  • fYear
    1982
  • fDate
    3/1/1982 12:00:00 AM
  • Firstpage
    239
  • Lastpage
    247
  • Abstract
    Asymptotic properties of the r th power distortion measure associated with quantized k -dimensional random variables are considered. Subject only to a moment condition, it is shown that the infimum over all N level quantizers of the quantity N^{r/k} times the r th power average distortion converges to a finite constant as N \\rightarrow \\infty .
  • Keywords
    Multidimensional signal processing; Quantization (signal); Signal quantization; Algorithm design and analysis; Bibliographies; Distortion measurement; Distribution functions; Extraterrestrial measurements; Mathematics; Multidimensional systems; Power measurement; Quantization; Random variables;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1982.1056486
  • Filename
    1056486