• DocumentCode
    1465108
  • Title

    Critical behavior in lossy source coding

  • Author

    Dembo, Amir ; Kontoyiannis, Ioannis

  • Author_Institution
    Dept. of Math., Stanford Univ., CA, USA
  • Volume
    47
  • Issue
    3
  • fYear
    2001
  • fDate
    3/1/2001 12:00:00 AM
  • Firstpage
    1230
  • Lastpage
    1236
  • Abstract
    The following critical phenomenon was recently discovered. When a memoryless source is compressed using a variable-length fixed-distortion code, the fastest convergence rate of the (pointwise) compression ratio to R(D) is either O(√n) or O(log n). We show it is always O(√n), except for discrete, uniformly distributed sources
  • Keywords
    convergence of numerical methods; memoryless systems; rate distortion theory; source coding; variable length codes; convergence rate; critical phenomenon; data compression; discrete uniformly distributed sources; lossy source coding; memoryless source; pointwise compression ratio; variable-length fixed-distortion code; Block codes; Convergence; Data compression; Distortion measurement; Mathematics; Random variables; Rate-distortion; Source coding; Statistics;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.915693
  • Filename
    915693