Fundamentals of Classical and Modern Error-Correcting Codes
eBook - PDF

Fundamentals of Classical and Modern Error-Correcting Codes

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Fundamentals of Classical and Modern Error-Correcting Codes

About this book

Using easy-to-follow mathematics, this textbook provides comprehensive coverage of block codes and techniques for reliable communications and data storage. It covers major code designs and constructions from geometric, algebraic, and graph-theoretic points of view, decoding algorithms, error control additive white Gaussian noise (AWGN) and erasure, and dataless recovery. It simplifies a highly mathematical subject to a level that can be understood and applied with a minimum background in mathematics, provides step-by-step explanation of all covered topics, both fundamental and advanced, and includes plenty of practical illustrative examples to assist understanding. Numerous homework problems are included to strengthen student comprehension of new and abstract concepts, and a solutions manual is available online for instructors. Modern developments, including polar codes, are also covered. An essential textbook for senior undergraduates and graduates taking introductory coding courses, students taking advanced full-year graduate coding courses, and professionals working on coding for communications and data storage.

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Yes, you can access Fundamentals of Classical and Modern Error-Correcting Codes by Shu Lin,Juane Li in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Signals & Signal Processing. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Title page
  4. Copyright information
  5. Contents
  6. List of Figures
  7. List of Tables
  8. Preface
  9. Acknowledgments
  10. 1 Coding for Reliable Digital Information Transmission and Storage
  11. 2 Some Elements of Modern Algebra and Graphs
  12. 3 Linear Block Codes
  13. 4 Binary Cyclic Codes
  14. 5 BCH Codes
  15. 6 Nonbinary BCH Codes and Reedā€“Solomon Codes
  16. 7 Finite Geometries, Cyclic Finite-Geometry Codes, and Majority-Logic Decoding
  17. 8 Reedā€“Muller Codes
  18. 9 Some Coding Techniques
  19. 10 Correction of Error-Bursts and Erasures
  20. 11 Introduction to Low-Density Parity-Check Codes
  21. 12 Cyclic and Quasi-cyclic LDPC Codes on Finite Geometries
  22. 13 Partial Geometries and Their Associated QC-LDPC Codes
  23. 14 Quasi-cyclic LDPC Codes Based on Finite Fields
  24. 15 Graph-Theoretic LDPC Codes
  25. 16 Collective Encoding and Soft-Decision Decoding of Cyclic Codes of Prime Lengths in Galois Fourier Transform Domain
  26. 17 Polar Codes
  27. Appendix A Factorization of X[sup(n)] +1 over GF(2)
  28. Appendix B A 2 2/3 3 SM-Constrained Masked Matrix Search Algorithm
  29. Appendix C Proof of Theorem 14.4
  30. Appendix D The 2 Ɨ 2 CPM-Array Cycle Structure of the Tanner Graph of C[sub(RS,n)](2,n)
  31. Appendix E Iterative Decoding Algorithm for Nonbinary LDPC Codes
  32. Index