Redundancy estimates for the Lempel–Ziv algorithm of data compression
The problem of non-distorting compression (or coding) of sequences of symbols is considered. For sequences of asymptotically zero empirical entropy, a modification of the Lempel–Ziv coding rule is offered whose coding cost is at most a finite number of times worse than the optimum. A combinatorial p...
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| Veröffentlicht in: | Discrete Applied Mathematics Jg. 135; H. 1; S. 245 - 254 |
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| 1. Verfasser: | |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Elsevier B.V
15.01.2004
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| Schlagworte: | |
| ISSN: | 0166-218X, 1872-6771 |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | The problem of non-distorting compression (or coding) of sequences of symbols is considered. For sequences of asymptotically zero empirical entropy, a modification of the Lempel–Ziv coding rule is offered whose coding cost is at most a finite number of times worse than the optimum. A combinatorial proof is offered for the well-known redundancy estimate of the Lempel–Ziv coding algorithm for sequences having a positive entropy. |
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| ISSN: | 0166-218X 1872-6771 |
| DOI: | 10.1016/S0166-218X(02)00308-6 |