Simple universal lossy data compression schemes derived from the Lempel-Ziv algorithm

  • Authors:
  • En-hui Yang;J. C. Kieffer

  • Affiliations:
  • Dept. of Math., Nankai Univ., Tianjin;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

Two universal lossy data compression schemes, one with fixed rate and the other with fixed distortion, are presented, based on the well-known Lempel-Ziv algorithm. In the case of fixed rate R, the universal lossy data compression scheme works as follows: first pick a codebook Bn consisting of all reproduction sequences of length n whose Lempel-Ziv codeword length is ⩽nR, and then use Bn to encode the entire source sequence n-block by n-block. This fixed-rate data compression scheme is universal in the sense that for any stationary, ergodic source or for any individual sequence, the sample distortion performance as n→∞ is given almost surely by the distortion rate function. A similar result is shown in the context of fixed distortion lossy source coding