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

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2 Author(s)
En-hui Yang ; Dept. of Math., Nankai Univ., Tianjin, China ; Kieffer, J.C.

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

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Information Theory, IEEE Transactions on  (Volume:42 ,  Issue: 1 )