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Abstract: .23> , en , and an accurate assessment of the probability distribution P of the events, Shannon [1] proved that the the smallest possible expected number of bits needed to encode an event is the entropy of P , denoted by H(P ) = n X k=1 \Gammapfe k g log 2 pfekg; where pfekg is the probability that event ek occurs. An optimal code outputs \Gamma log 2 p bits to encode an event whose probability of occurrence is p. Pure arithmetic codes supplied with accurate probabilities provides optimal... (Update)
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BibTeX entry: (Update)
P. G. Howard and J. S. Vitter, "Arithmetic coding for data compression," Proc. of the IEEE, Vol. 82, No. 6, pp. 857-865, June 1994. http://citeseer.ist.psu.edu/howard94arithmetic.html More
@techreport{ howard94arithmetic,
author = "Paul G. Howard and Jeffery Scott Vitter",
title = "Arithmetic Coding for Data Compression",
number = "Technical report DUKE--TR--1994--09",
year = "1994",
url = "citeseer.ist.psu.edu/howard94arithmetic.html" }
Citations (may not include all citations):
1447
A Mathematical Theory of Communication (context) - Shannon - 1948
458
A Universal Algorithm for Sequential Data Compression
- Ziv, Lempel - 1977
368
Text Compression (context) - Bell, Cleary et al. - 1990
344
Arithmetic Coding for Data Compression (context) - Witten, Neal et al. - 1987
338
A Method for the Construction of Minimum RedundancyCodes (context) - Huffman - 1952
148
Data Compression Using Adaptive Coding and Partial String Ma..
- Cleary, Witten - 1984
137
Universal Codeword Sets and Representations of Integers (context) - Elias - 1975
95
The Zero Frequency Problem: Estimating the Probabilities of .. (context) - Witten, Bell - 1991
60
Run-LengthEncodings (context) - Golomb - 1966
50
An Overview of the Basic Principles of the Q-Coder Adaptive .. (context) - Pennebaker, Mitchell et al. - 1988
47
Arithmetic Coding (context) - Rissanen, Langdon - 1979
33
Optimal Computer-Search Trees and Variable-Length Alphabetic.. (context) - Hu, Tucker - 1971
32
Generalized Kraft Inequality and Arithmetic Coding (context) - Rissanen - 1976
28
Some Practical Universal Noiseless Coding Techniques (context) - Rice - 1979
27
Analysis of Arithmetic Coding for Data Compression
- Howard, Vitter - 1992
23
Practical Implementations of Arithmetic Coding
- Howard, Vitter - 1992
22
Source Coding Algorithms for Fast Data Compression (context) - Pasco - 1976
20
Application of Splay Trees to Data Compression (context) - Jones - 1988
15
Arithmetic Stream Coding Using Fixed Precision Registers (context) - Rubin - 1979
9
An Empirical Evaluation of Coding Methods for Multi-Symbol A.. (context) - Moffat, Sharman et al. - 1993
9
A General Minimum-Redundancy Source-Coding Algorithm (context) - Guazzo - 1980
9
IEEE Trans (context) - Individual, Variable et al. - 1978
4
Fast Arithmetic Coding Using Low-Precision Division (context) - Neal - 1987
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