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 compression. The older and better-known Huffman codes [2] are optimal only among instantaneous codes, that is, those in whi
Citations
|
3170
|
The mathematical theory of communication
– Shannon
- 1962
|
|
799
|
A universal algorithm for sequential data compression
– Ziv, Lempel
- 1977
|
|
517
|
Arithmetic coding for data compression
– Witten, Neal, et al.
- 1987
|
|
252
|
Data compression using adaptive coding and partial string matching
– Cleary, Witten
- 1984
|
|
229
|
Universal codeword sets and representation of the integers
– Elias
- 1975
|
|
166
|
Run-length encodings
– Golomb
- 1966
|
|
151
|
Arithmetic coding
– Langdon
- 1979
|
|
78
|
An Overview of the Basic Principles of the Q-Coder Adaptive Binary Arithmetic
– Pennebaker, Mitchell
- 1988
|
|
72
|
Generalized Kraft Inequality and Arithmetic Coding
– Rissanen
- 1976
|
|
49
|
Some practical universal noiseless coding techniques
– Rice
- 1979
|
|
41
|
Source Coding Algorithm for Fast Data Compression
– Pasco
- 1976
|
|
30
|
Analysis of Arithmetic Coding for Data Compression
– Howard, Vitter
- 1992
|
|
26
|
Application of Splay Trees to Data Compression
– Jones
- 1988
|
|
24
|
Arithmetic stream coding using fixed precision registers
– Rubin
- 1979
|
|
23
|
The zero frequency problem: Estimating the probabilities of novel events in adaptive text compression
– Witten, Bell
- 1991
|
|
19
|
Practical implementations of arithmetic coding
– Howard, Vitter
- 1992
|
|
15
|
An empirical evaluation of coding methods for multi-symbol alphabets
– Moffat, Sharman, et al.
- 1994
|
|
12
|
A general minimum-redundancy source-coding algorithm
– Guazzo
- 1980
|
|
9
|
Optimal computer-search trees and variable-length alphabetic codes
– Hu, Tucker
- 1971
|
|
8
|
A method for the construction of minimum-redundanc codes
– Huffman
- 1952
|
|
4
|
Fast Arithmetic Coding Using Low-Precision Division, " Unpublished manuscript
– Neal
- 1987
|
|
2
|
Efficient Lossless Image Compression
– Fast
|
|
2
|
Economical Inversion of Large Text Files," presented at Computing Systems
– Moffat
- 1992
|