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Codes, Systems, and Graphical Models
Overview of attention for book
Table of Contents
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Book Overview
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Chapter 1
An Introduction to the Analysis of Iterative Coding Systems
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Chapter 2
Connections Between Linear Systems and Convolutional Codes
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Chapter 3
Multi-Dimensional Symbolic Dynamical Systems
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Chapter 4
Linear-Congruence Constructions of Low-Density Parity-Check Codes
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Chapter 5
On the Effective Weights of Pseudocodewords for Codes Defined on Graphs with Cycles
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Chapter 6
Evaluation of Gallager Codes for Short Block Length and High Rate Applications
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Chapter 7
Two Small Gallager Codes
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Chapter 8
Mildly Non-Linear Codes
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Chapter 9
Capacity-Achieving Sequences
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Chapter 10
Hypertrellis: A Generalization of Trellis and Factor Graph
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Chapter 11
BSC Thresholds for Code Ensembles Based on “Typical Pairs” Decoding
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Chapter 12
Properties of the Tailbiting BCJR Decoder
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Chapter 13
Iterative Decoding of Tail-Biting Trellises and Connections with Symbolic Dynamics
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Chapter 14
Algorithms for Decoding and Interpolation
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Chapter 15
An Algebraic Description of Iterative Decoding Schemes
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Chapter 16
Recursive Construction of GrÖbner Bases for the Solution of Polynomial Congruences
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Chapter 17
On Iterative Decoding of Cycle Codes of Graphs
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Chapter 18
Convolutional Codes Over Finite Abelian Groups: Some Basic Results
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Chapter 19
Symbolic Dynamics and Convolutional Codes
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Chapter 20
Linear Codes and Their Duals Over Artinian Rings
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Chapter 21
Unit Memory Convolutional Codes with Maximum Distance
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Chapter 22
Basic Properties of Multidimensional Convolutional Codes
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Chapter 23
Length Distributions and Regular Sequences
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Chapter 24
Handelman’s Theorem on Polynomials with Positive Multiples
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Chapter 25
Topological Dynamics of Cellular Automata
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Chapter 26
A Spanning Tree Invariant for Markov Shifts
Overall attention for this book and its chapters
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Book overview
1. An Introduction to the Analysis of Iterative Coding Systems
2. Connections Between Linear Systems and Convolutional Codes
3. Multi-Dimensional Symbolic Dynamical Systems
4. Linear-Congruence Constructions of Low-Density Parity-Check Codes
5. On the Effective Weights of Pseudocodewords for Codes Defined on Graphs with Cycles
6. Evaluation of Gallager Codes for Short Block Length and High Rate Applications
7. Two Small Gallager Codes
8. Mildly Non-Linear Codes
9. Capacity-Achieving Sequences
10. Hypertrellis: A Generalization of Trellis and Factor Graph
11. BSC Thresholds for Code Ensembles Based on “Typical Pairs” Decoding
12. Properties of the Tailbiting BCJR Decoder
13. Iterative Decoding of Tail-Biting Trellises and Connections with Symbolic Dynamics
14. Algorithms for Decoding and Interpolation
15. An Algebraic Description of Iterative Decoding Schemes
16. Recursive Construction of GrÖbner Bases for the Solution of Polynomial Congruences
17. On Iterative Decoding of Cycle Codes of Graphs
18. Convolutional Codes Over Finite Abelian Groups: Some Basic Results
19. Symbolic Dynamics and Convolutional Codes
20. Linear Codes and Their Duals Over Artinian Rings
21. Unit Memory Convolutional Codes with Maximum Distance
22. Basic Properties of Multidimensional Convolutional Codes
23. Length Distributions and Regular Sequences
24. Handelman’s Theorem on Polynomials with Positive Multiples
25. Topological Dynamics of Cellular Automata
26. A Spanning Tree Invariant for Markov Shifts
Summary
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So far, Altmetric has seen this research output assigned in
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University of Notre Dame
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Engineering, Biology, Medicine, Economics, Chemistry