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Author: G. David Forney
Publisher: Springer Science & Business Media
ISBN: 9780792376866
Category : Computers
Languages : en
Pages : 490
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Book Description
Foreword by James L. Massey. Codes, Graphs, and Systems is an excellent reference for both academic researchers and professional engineers working in the fields of communications and signal processing. A collection of contributions from world-renowned experts in coding theory, information theory, and signal processing, the book provides a broad perspective on contemporary research in these areas. Survey articles are also included. Specific topics covered include convolutional codes and turbo codes; detection and equalization; modems; physics and information theory; lattices and geometry; and behaviors and codes on graphs. Codes, Graphs, and Systems is a tribute to the leadership and profound influence of G. David Forney, Jr. The 35 contributors to the volume have assembled their work in his honor.
Author: G. David Forney
Publisher: Springer Science & Business Media
ISBN: 9780792376866
Category : Computers
Languages : en
Pages : 490
Get Book Here
Book Description
Foreword by James L. Massey. Codes, Graphs, and Systems is an excellent reference for both academic researchers and professional engineers working in the fields of communications and signal processing. A collection of contributions from world-renowned experts in coding theory, information theory, and signal processing, the book provides a broad perspective on contemporary research in these areas. Survey articles are also included. Specific topics covered include convolutional codes and turbo codes; detection and equalization; modems; physics and information theory; lattices and geometry; and behaviors and codes on graphs. Codes, Graphs, and Systems is a tribute to the leadership and profound influence of G. David Forney, Jr. The 35 contributors to the volume have assembled their work in his honor.
Author: Richard E. Blahut
Publisher: Springer Science & Business Media
ISBN: 1461508959
Category : Technology & Engineering
Languages : en
Pages : 458
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Book Description
Foreword by James L. Massey. Codes, Graphs, and Systems is an excellent reference for both academic researchers and professional engineers working in the fields of communications and signal processing. A collection of contributions from world-renowned experts in coding theory, information theory, and signal processing, the book provides a broad perspective on contemporary research in these areas. Survey articles are also included. Specific topics covered include convolutional codes and turbo codes; detection and equalization; modems; physics and information theory; lattices and geometry; and behaviors and codes on graphs. Codes, Graphs, and Systems is a tribute to the leadership and profound influence of G. David Forney, Jr. The 35 contributors to the volume have assembled their work in his honor.
Author: Richard E. Blahut
Publisher: Springer
ISBN: 9781461352921
Category : Technology & Engineering
Languages : en
Pages : 455
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Book Description
Foreword by James L. Massey. Codes, Graphs, and Systems is an excellent reference for both academic researchers and professional engineers working in the fields of communications and signal processing. A collection of contributions from world-renowned experts in coding theory, information theory, and signal processing, the book provides a broad perspective on contemporary research in these areas. Survey articles are also included. Specific topics covered include convolutional codes and turbo codes; detection and equalization; modems; physics and information theory; lattices and geometry; and behaviors and codes on graphs. Codes, Graphs, and Systems is a tribute to the leadership and profound influence of G. David Forney, Jr. The 35 contributors to the volume have assembled their work in his honor.
Author: Stephen B. Wicker
Publisher: Springer Science & Business Media
ISBN: 1402072643
Category : Technology & Engineering
Languages : en
Pages : 241
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Book Description
Fundamentals of Codes, Graphs, and Iterative Decoding is an explanation of how to introduce local connectivity, and how to exploit simple structural descriptions. Chapter 1 provides an overview of Shannon theory and the basic tools of complexity theory, communication theory, and bounds on code construction. Chapters 2 - 4 provide an overview of "classical" error control coding, with an introduction to abstract algebra, and block and convolutional codes. Chapters 5 - 9 then proceed to systematically develop the key research results of the 1990s and early 2000s with an introduction to graph theory, followed by chapters on algorithms on graphs, turbo error control, low density parity check codes, and low density generator codes.
Author: P. J. Cameron
Publisher: Cambridge University Press
ISBN: 0521231418
Category : Mathematics
Languages : en
Pages : 157
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Book Description
This book is concerned with the relations between graphs, error-correcting codes and designs, in particular how techniques of graph theory and coding theory can give information about designs. A major revision and expansion of a previous volume in this series, this account includes many examples and new results as well as improved treatments of older material. So that non-specialists will find the treatment accessible the authors have included short introductions to the three main topics. This book will be welcomed by graduate students and research mathematicians and be valuable for advanced courses in finite combinatorics.
Author: Christian B. Schlegel
Publisher: John Wiley & Sons
ISBN: 111910632X
Category : Science
Languages : en
Pages : 518
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Book Description
This new edition has been extensively revised to reflect the progress in error control coding over the past few years. Over 60% of the material has been completely reworked, and 30% of the material is original. Convolutional, turbo, and low density parity-check (LDPC) coding and polar codes in a unified framework Advanced research-related developments such as spatial coupling A focus on algorithmic and implementation aspects of error control coding
Author: P. J. Cameron
Publisher: Cambridge University Press
ISBN: 9780521423854
Category : Mathematics
Languages : en
Pages : 256
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Book Description
Although graph theory, design theory, and coding theory had their origins in various areas of applied mathematics, today they are to be found under the umbrella of discrete mathematics. Here the authors have considerably reworked and expanded their earlier successful books on graphs, codes and designs, into an invaluable textbook. They do not seek to consider each of these three topics individually, but rather to stress the many and varied connections between them. The discrete mathematics needed is developed in the text, making this book accessible to any student with a background of undergraduate algebra. Many exercises and useful hints are included througout, and a large number of references are given.
Author: Samuel Hopstock
Publisher: GRIN Verlag
ISBN: 3346540707
Category : Computers
Languages : en
Pages : 60
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Book Description
Master's Thesis from the year 2021 in the subject Computer Science - IT-Security, grade: 2,0, Technical University of Munich (Department of Informatics), language: English, abstract: This thesis extends a modified CPG approach that is able to operate on multiple programming languages, i.e. C/C++, Java, Python and Golang, available on GitHub3 [Fra21a]. Graph-based code analysis systems are versatile tools for reasoning about the correctness of complex software projects. One area in which they are widely used is in source code auditing: Security vulnerabilities, for example using cryptographic functions with insecure algorithms, can be introduced by coding patterns that spread over the boundaries of several methods, classes or even files in the project. This is where graph-based analysis makes finding these vulnerabilities easier, by creating a framework where the source code can be represented as a graph and vulnerable
Author: Stephen B. Wicker
Publisher: Springer Science & Business Media
ISBN: 0306477947
Category : Technology & Engineering
Languages : en
Pages : 241
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Book Description
Fundamentals of Codes, Graphs, and Iterative Decoding is an explanation of how to introduce local connectivity, and how to exploit simple structural descriptions. Chapter 1 provides an overview of Shannon theory and the basic tools of complexity theory, communication theory, and bounds on code construction. Chapters 2 - 4 provide an overview of "classical" error control coding, with an introduction to abstract algebra, and block and convolutional codes. Chapters 5 - 9 then proceed to systematically develop the key research results of the 1990s and early 2000s with an introduction to graph theory, followed by chapters on algorithms on graphs, turbo error control, low density parity check codes, and low density generator codes.
Author: Jing Sun
Publisher:
ISBN:
Category : Coding theory
Languages : en
Pages :
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Book Description
Abstract: To make full use of the valuable radio spectrum, one of the targets of communications system design is to convey as much information as possible through the spectrum (the channel) allocated for the purpose. For a given channel, the amount of information that can be passed through it is upper bounded by the well-known Shannon channel capacity. The invention of turbo codes in 1993 was a key step in the 50-year effort to design good coding schemes achieving the Shannon capacity. Since then, other coding schemes with similar performance, such as Low Density Parity Check (LDPC) codes and turbo product codes, have been re-discovered or invented. The common characteristics of these codes are that they all can be represented by a large (pseudo- )random graph, and iteratively decoded. In this dissertation, we treat three topics in the design and analysis of the two most important graph-based coding schemes: turbo codes and LDPC codes. Together with two component convolutional codes, an interleaver is a key component of a turbo code. We introduce a class of deterministic interleavers for turbo codes based on permutation polynomials over Z (sub)N . It is observed that the performance of a turbo code using these permutation polynomial-based interleavers is usually dominated by a subset of input weight 2m error events. Due to the structure of these interleavers, we derive a simple method to find the weight spectrum of those error events. Therefore good permutation polynomials can be searched for a given component code to achieve better performance. LDPC codes can be constructed using an interleaver. In a previous work, the use of maximum length linear congruential sequences (MLLCS) has been proposed for the construction of interleavers for regular LDPC codes with data node degree 3. Since the smallest loop size (girth) is a key characteristic of the graph of the LDPC code, a sufficient condition on the parameters of the MLLCS to generate a graph with girth larger than 4 is given. We extend the sufficient condition to general irregular LDPC codes and also provide sufficient conditions to guarantee even larger girth. It is observed that the error floor of LDPC code (bit error performance at high signal-to-noise ratios) is usually caused by trapping sets, which are sets of data nodes that cannot be corrected by the iterative decoder. We develop an approximated linear system model for the iterative decoding process in a trapping set. Then the probability that the trapping set can be corrected can be estimated by observing the response of the linear system. Using the idea from the analysis of the linear system, the iterative decoder for regular LDPC codes can be slightly modified to greatly decrease the error floor.
