MetaCart Sign in to MyCiteSeerX

Include Citations | Advanced Search | Help

Disambiguated Search | Include Citations | Advanced Search | Help

Arithmetic Coding for Data Compression (1994) [44 citations — 8 self]

by Jeffrey Scott Vitter ,  Paul G. Howard ,  Paul G. Howard ,  Jeffrey Scott Vitter
Information Processing and Management
Add To MetaCart

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