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Analysis of Arithmetic Coding for Data Compression (1992)  (Make Corrections)  (27 citations)
Paul G. Howard, Jeffrey Scott Vitter
Information Processing and Management



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Abstract: Arithmetic coding, in conjunction with a suitable probabilistic model, can provide nearly optimal data compression. In this article we analyze the effect that the model and the particular implementation of arithmetic coding have on the code length obtained. Periodic scaling is often used in arithmetic coding implementations to reduce time and storage requirements; it also introduces a recency effect which can further affect compression. Our main contribution is introducing the concept of... (Update)

Context of citations to this paper:   More

...so that the image video can be displayed on the y while downloading. We implement our own arithmetic encoder based on the ideas discussed in [12], hence we refrain from describing it in detail. B. Distortion Measures The process of lossy compression can be viewed as adding...

.... Gamma1 i=0 (i 2ffi) This definition corresponds, algorithmically, to the use of a one pass arithmetic coder without modelling [1] . The time required to do one pass arithmetic coding on binary data is linear, and, hence, will be disregarded in our proof of linearity. The...

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BibTeX entry:   (Update)

P. G. Howard and J. S. Vitter, "Analysis of Arithmetic Coding for Data Compression," Information Processing and Management 28 (1992), 749--763, invited paper in Special Issue on Data Compression for Images and Texts. http://citeseer.ist.psu.edu/howard92analysis.html   More

@article{ howard92analysis,
    author = "Paul G. Howard and Jeffrey Scott Vitter",
    title = "Analysis of Arithmetic Coding for Data Compression",
    journal = "Information Processing and Management",
    volume = "28",
    number = "6",
    pages = "749-764",
    year = "1992",
    url = "citeseer.ist.psu.edu/howard92analysis.html" }
Citations (may not include all citations):
1447   A Mathematical Theory of Communication (context) - Shannon - 1948
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 Redundancy Codes (context) - Huffman - 1952
148   Data Compression Using Adaptive Coding and Partial String Ma.. - Cleary, Witten - 1984
139   Stochastic Complexity and Modeling (context) - Rissanen - 1986
137   Universal Codeword Sets and Representations of Integers (context) - Elias - 1975
95   The Zero Frequency Problem: Estimating the Probabilities of .. (context) - Witten, Bell - 1991
78   Universal Coding, Information, Prediction, and Estimation (context) - Rissanen - 1984
75   Stochastic Complexity (context) - Rissanen - 1987
72   A Locally Adaptive Data Compression Scheme (context) - Bentley, Sleator et al. - 1986
50   An Overview of the Basic Principles of the Q-Coder Adaptive .. (context) - Pennebaker, Mitchell et al. - 1988
48   An Introduction to Arithmetic Coding (context) - Langdon - 1984
45   Dynamic Huffman Coding (context) - Knuth - 1985
44   Compression of Black-White Images with Arithmetic Coding (context) - Langdon, Rissanen - 1981
35   Modeling for Text Compression (context) - Bell, Witten et al. - 1989
35   Data Compression Using Dynamic Markov Modelling - Cormack, Horspool - 1987
32   Generalized Kraft Inequality and Arithmetic Coding (context) - Rissanen - 1976
23   Practical Implementations of Arithmetic Coding - Howard, Vitter - 1992
22   Source Coding Algorithms for Fast Data Compression (context) - Pasco - 1976
15   Arithmetic Stream Coding Using Fixed Precision Registers (context) - Rubin - 1979
15   Interval and Recency Rank Source Coding: Two On-line Adaptiv.. - Elias - 1987
14   A Multiplication-Free Multialphabet Arithmetic Code (context) - Rissanen, Mohiuddin - 1989
13   Algorithms for Adaptive Huffman Codes (context) - Cormack, Horspool - 1984
7   A Comparison of Enumerative and Adaptive Codes (context) - Cleary, Witten - 1984
5   High Efficiency, Multiplication Free Approximation of Arithm.. (context) - Chevion, Karnin et al. - 1991
5   Data Compression by Means of a Book Stack (context) - Ryabko - 1980
3   Adaptive Model for Nonstationary Sources (context) - Mohiuddin, Rissanen et al. - 1986
2   Almost Asymptotically Optimal Flag Encoding of the Integers (context) - Wang - 1988
2   Method for Adaptively Initializing a Source Model for Symbol.. (context) - Arps, Langdon et al. - 1984
2   Robust Universal Complete Codes as Alternatives to Huffman C.. (context) - Fraenkel, Klein - 1985
2   Probabilistic and Q-Coder Algorithms for Binary Source Adapt.. (context) - Langdon - 1991
2   On Encoding of Commas Between Strings (context) - Stone - 1979



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