Title :
Asymptotical optimality of two variations of Lempel-Ziv codes for sources with countably infinite alphabet
Author :
Uyematsu, Tomohiko ; Kanaya, Fumio
Author_Institution :
Tokyo Inst. of Technol., Japan
Abstract :
This paper considers the problem of universally coding stationary ergodic sources with countably infinite alphabet. Especially, we show a sufficient condition for both of Lempel-Ziv ´78 and ´77 (LZ78 and LZ77) coding algorithms to achieve asymptotically the entropy rate of those sources.
Keywords :
data compression; entropy; source coding; Lempel-Ziv codes; asymptotical optimality; countably infinite alphabet; entropy rate; stationary ergodic sources; Code standards; Data compression; Decoding; Entropy; Information theory; Sufficient conditions;
Conference_Titel :
Information Theory, 2002. Proceedings. 2002 IEEE International Symposium on
Print_ISBN :
0-7803-7501-7
DOI :
10.1109/ISIT.2002.1023394