• DocumentCode
    936169
  • Title

    A note on optimal multidimensional companders (Corresp.)

  • Author

    Bucklew, James

  • Volume
    29
  • Issue
    2
  • fYear
    1983
  • fDate
    3/1/1983 12:00:00 AM
  • Firstpage
    279
  • Lastpage
    279
  • Abstract
    Companding is a widely used method of implementing nonuniform quantizers. There are, however, problems in extending this technique to the multidimensional case. It is known, for example, that not all input probability densities can be quantized optimally in this fashion. In this note we characterize the class of probability density functions that can be optimally quantized with a multidimensional companding-type implementation.
  • Keywords
    Companding; Multidimensional signal processing; Quantization (signal); Signal quantization; Jacobian matrices; Measurement units; Multidimensional systems; Probability density function; Rate distortion theory; Reflection;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1983.1056643
  • Filename
    1056643