• DocumentCode
    1356007
  • Title

    Transform coding with backward adaptive updates

  • Author

    Goyal, Vivek K. ; Zhuang, Jun ; Veiterli, M.

  • Author_Institution
    Math. of Commun. Res. Dept., Lucent Technol. Bell Labs., Murray Hill, NJ, USA
  • Volume
    46
  • Issue
    4
  • fYear
    2000
  • fDate
    7/1/2000 12:00:00 AM
  • Firstpage
    1623
  • Lastpage
    1633
  • Abstract
    The Karhunen-Loeve transform (KLT) is optimal for transform coding of a Gaussian source. This is established for all scale-invariant quantizers, generalizing previous results. A backward adaptive technique for combating the data dependence of the KLT is proposed and analyzed. When the adapted transform converges to a KLT, the scheme is universal among transform coders. A variety of convergence results are proven
  • Keywords
    Gaussian processes; Karhunen-Loeve transforms; adaptive codes; convergence of numerical methods; source coding; transform coding; Gaussian source; Karhunen-Loeve transform; backward adaptive coding structure; backward adaptive updates; convergence results; data dependence; quantization; scale-invariant quantizers; transform coders; transform coding; Adaptive filters; Convergence; Data compression; Decoding; Discrete transforms; Karhunen-Loeve transforms; Quantization; Source coding; Transform coding; Vectors;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.850706
  • Filename
    850706