• DocumentCode
    767668
  • Title

    Stability Conditions for DPCM Coders

  • Author

    Pirsch, Peter

  • Author_Institution
    Universität Hannover, West Germany
  • Volume
    30
  • Issue
    5
  • fYear
    1982
  • fDate
    5/1/1982 12:00:00 AM
  • Firstpage
    1174
  • Lastpage
    1184
  • Abstract
    Differential pulse code modulation (DPCM) systems, used for encoding signals, are recursive and exhibit instability under certain conditions. In this paper, sufficient conditions for asymptotic stability of multidimensional DPCM systems are obtained both in the signal domain and the transform domain. In the case of instability, certain kinds of limit cycles, necessary conditions for their suppression are derived. The stability conditions are evaluated for one-, two-, and three-dimensional predictors.
  • Keywords
    filtering and prediction theory; pulse code modulation; asymptotic stability; differential pulse code modulation; multidimensional DPCM systems; signal domain; transform domain; Decoding; Digital filters; Frequency; Limit-cycles; Low pass filters; Modulation coding; Pulse modulation; Quantization; Stability; Testing;
  • fLanguage
    English
  • Journal_Title
    Communications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0090-6778
  • Type

    jour

  • DOI
    10.1109/TCOM.1982.1095562
  • Filename
    1095562