Codes, Systems, and Graphical Models / edited by Brian Marcus, Joachim Rosenthal
(The IMA Volumes in Mathematics and its Applications ; 123)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | New York, NY : Springer New York |
| 出版年 | 2001 |
| 本文言語 | 英語 |
| 大きさ | XIII, 513 p. 18 illus : online resource |
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| 内容注記 | 1. Overviews An introduction to the analysis of iterative coding systems Connections between linear systems and convolutional codes Multi-dimensional symbolic dynamical systems 2. Codes on Graphs Linear-congruence constructions of low-density parity-check codes On the effective weights of pseudocodewords for codes defined on graphs with cycles Evaluation of Gallager codes for short block length and high rate applications Two small Gallager codes Mildly non-linear codes Capacity-achieving sequences Hypertrellis: A generalization of trellis and factor graph 3: Decoding Techniques BSC thresholds for code ensembles based on “typical pairs” decoding Properties of the tailbiting BCJR decoder Iterative decoding of tail-biting trellises and connections with symbolic dynamics Algorithms for decoding and interpolation An algebraic description of iterative decoding schemes Recursive construction of Gröbner bases for the solution of polynomial congruences On iterative decoding of cycle codes of graphs 4. Convolutional Codes and Codes Over Rings Convolutional codes over finite Abelian groups: Some basic results Symbolic dynamics and convolutional codes Linear codes and their duals over artinian rings Unit memory convolutional codes with maximum distance Basic properties of multidimensional convolutional codes 5. Symbolic Dynamics and Automata Theory Length distributions and regular sequences Handelman’s theorem on polynomials with positive multiples Topological dynamics of cellular automata A spanning tree invariant for Markov shifts List of workshop participants |
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| 一般注記 | Coding theory, system theory, and symbolic dynamics have much in common. Among the central themes in each of these subjects are the construction of state space representations, understanding of fundamental structural properties of sequence spaces, construction of input/output systems, and understanding the special role played by algebraic structure. A major new theme in this area of research is that of codes and systems based on graphical models. This volume contains survey and research articles from leading researchers at the interface of these subjects |
| 著者標目 | Marcus, Brian editor Rosenthal, Joachim editor SpringerLink (Online service) |
| 件 名 | LCSH:Computer science LCSH:Coding theory LCSH:Computers LCSH:Mathematics LCSH:Mathematical analysis LCSH:Analysis (Mathematics) LCSH:Applied mathematics LCSH:Engineering mathematics LCSH:Electrical engineering FREE:Computer Science FREE:Theory of Computation FREE:Mathematics, general FREE:Analysis FREE:Applications of Mathematics FREE:Coding and Information Theory FREE:Electrical Engineering |
| 分 類 | DC23:004.0151 |
| 巻冊次 | ISBN:9781461301653 
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| ISBN | 9781461301653 |
| URL | http://dx.doi.org/10.1007/978-1-4613-0165-3 |
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