An Introduction to Arithmetic Coding

Introduction to Arithmetic Coding - Theory and Practice

entropy coding, compression, complexity This introduction to arithmetic coding is divided in two parts. The first explains how and why arithmetic coding works. We start presenting it in very general terms, so that its simplicity is not lost under layers of implementation details. Next, we show some of its basic properties, which are later used in the computational techniques required for a prac...

ENTROPY OF GEODESIC FLOWS ON SUBSPACES OF HECKE SURFACE WITH ARITHMETIC CODE

There are dierent ways to code the geodesic flows on surfaces with negative curvature. Such code spaces give a useful tool to verify the dynamical properties of geodesic flows. Here we consider special subspaces of geodesic flows on Hecke surface whose arithmetic codings varies on a set with innite alphabet. Then we will compare the topological complexity of them by computing their topological ...

Error-Correcting Codes for Semiconductor Memory Applications: A State-of-the-Art Review An Introduction to Arithmetic Coding A Universal Reed-Solomon Decoder

Introduction to Data Compression

3 Probability Coding 10 3.1 Prefix Codes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 3.1.1 Relationship to Entropy . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 3.2 Huffman Codes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 3.2.1 Combining Messages . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 3.2.2 Minim...

Generalized Kraft Inequality and Arithmetic Coding

Algorithms for encoding and decoding finite strings over a finite alphabet are described. The coding operations are arithmetic involving rational numbers li as parameters such that Zi2"i 5 2". This coding technique requires no blocking, and the per-symbol length of the encoded string approaches the associated entropy within E . The coding speed is comparable to that of conventional coding metho...