Abstract
Ziv-Lempel (ZL) codes and Bayes codes are typical universal codes. An improved algorithm of the ZL code is widely used in compression software. On the other hand, practical use of Bayes codes is difficult due to the large amount of computation needed. However, a realizable algorithm in terms of computation effort has been constructed for the FSMX model group [9]. In this paper, an information source generating a sequence by word units is assumed as a model that can represent the probabilistic structure of actual data such as text data. The asymptotic compression performance of both codes is analyzed and evaluated for the information source class (information source for the block unit) with a constant (fixed) word length. As a result, it is found that Bayes code cannot directly be universal as a coding algorithm for symbol units. On the other hand, the ZL78 code can be directly universal. Also, a configuration method for the Bayes coding method is given for an information source with a block unit.
| Original language | English |
|---|---|
| Pages (from-to) | 58-69 |
| Number of pages | 12 |
| Journal | Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi) |
| Volume | 86 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2003 |
Keywords
- Bayes code
- Information source with a word unit
- Universal code
- Ziv-Lempel code
ASJC Scopus subject areas
- Electrical and Electronic Engineering
Cite this
On universality of both Bayes codes and Ziv-Lempel codes for sources which emit data sequence by block unit. / Ishida, Takashi; Goto, Masayuki; Hirasawa, Shigeichi.
In: Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi), Vol. 86, No. 1, 2003, p. 58-69.Research output: Contribution to journal › Article
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TY - JOUR
T1 - On universality of both Bayes codes and Ziv-Lempel codes for sources which emit data sequence by block unit
AU - Ishida, Takashi
AU - Goto, Masayuki
AU - Hirasawa, Shigeichi
PY - 2003
Y1 - 2003
N2 - Ziv-Lempel (ZL) codes and Bayes codes are typical universal codes. An improved algorithm of the ZL code is widely used in compression software. On the other hand, practical use of Bayes codes is difficult due to the large amount of computation needed. However, a realizable algorithm in terms of computation effort has been constructed for the FSMX model group [9]. In this paper, an information source generating a sequence by word units is assumed as a model that can represent the probabilistic structure of actual data such as text data. The asymptotic compression performance of both codes is analyzed and evaluated for the information source class (information source for the block unit) with a constant (fixed) word length. As a result, it is found that Bayes code cannot directly be universal as a coding algorithm for symbol units. On the other hand, the ZL78 code can be directly universal. Also, a configuration method for the Bayes coding method is given for an information source with a block unit.
AB - Ziv-Lempel (ZL) codes and Bayes codes are typical universal codes. An improved algorithm of the ZL code is widely used in compression software. On the other hand, practical use of Bayes codes is difficult due to the large amount of computation needed. However, a realizable algorithm in terms of computation effort has been constructed for the FSMX model group [9]. In this paper, an information source generating a sequence by word units is assumed as a model that can represent the probabilistic structure of actual data such as text data. The asymptotic compression performance of both codes is analyzed and evaluated for the information source class (information source for the block unit) with a constant (fixed) word length. As a result, it is found that Bayes code cannot directly be universal as a coding algorithm for symbol units. On the other hand, the ZL78 code can be directly universal. Also, a configuration method for the Bayes coding method is given for an information source with a block unit.
KW - Bayes code
KW - Information source with a word unit
KW - Universal code
KW - Ziv-Lempel code
UR - http://www.scopus.com/inward/record.url?scp=0037210036&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0037210036&partnerID=8YFLogxK
U2 - 10.1002/ecjc.10017
DO - 10.1002/ecjc.10017
M3 - Article
AN - SCOPUS:0037210036
VL - 86
SP - 58
EP - 69
JO - Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
JF - Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
SN - 1042-0967
IS - 1
ER -