Brian Marcus / Joachim Rosenthal (eds.)

Codes, Systems, and Graphical Models

Mitwirkender: Rosenthal, Joachim; Marcus, Brian

• Gebundenes Buch

Produktbeschreibung

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.

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Produktdetails

• The IMA Volumes in Mathematics and its Applications
• Verlag: Springer, Berlin
• 2001 edition
• Seitenzahl: 513
• Erscheinungstermin: 1. März 2001
• Englisch
• Abmessung: 242mm x 164mm x 29mm
• Gewicht: 874g
• ISBN-13: 9780387951737
• ISBN-10: 0387951733
• Artikelnr.: 09670397

Inhaltsangabe

From the contents: From the contents: Part I: Overviews. An introduction to the analysis of iterative coding. Connections between linear systems and convolutional codes. Multi-dimensional symbolic dynamical systems.- Part II: Codes on Graphs. Linear-congruence constructions of low-density parity-check codes. On the effective weights of pseudocode words 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.- Part III: Decoding techniques. SC 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.