Error Correction Coding and Decoding Bounds Codes Decoders Analysis and Applications 1st Edition Martin Tomlinson 3319511025 9783319511023

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Product details:

• ISBN-10 ‏ : ‎ 3319511025
• ISBN-13 ‏ : ‎ 9783319511023
• Author: Martin Tomlinson

This book discusses both the theory and practical applications of self-correcting data, commonly known as error-correcting codes. The applications included demonstrate the importance of these codes in a wide range of everyday technologies, from smartphones to secure communications and transactions. Written in a readily understandable style, the book presents the authors’ twenty-five years of research organized into five parts:

Part I is concerned with the theoretical performance attainable by using error correcting codes to achieve communications efficiency in digital communications systems.

Table of contents:

Part I: Introduction and Foundations

Chapter 1: A Context for Error Correction Coding

Part II: Block Codes

Chapter 2: Groups and Vector Spaces

Chapter 3: Linear Block Codes

Chapter 4: Cyclic Codes, Rings, and Polynomials

Chapter 5: Rudiments of Number Theory and Algebra

Chapter 6: BCH and Reed–Solomon Codes: Designer Cyclic Codes

Chapter 7: Alternate Decoding Algorithms for Reed–Solomon Codes

Chapter 8: Other Important Block Codes

Chapter 9: Bounds on Codes

Chapter 10: Bursty Channels, Interleavers, and Concatenation

Chapter 11: Soft‐Decision Decoding Algorithms

Part III: Codes on Graphs

Chapter 12: Convolutional Codes

Chapter 13: Trellis‐Coded Modulation

Chapter 14: Turbo Codes

Chapter 15: Low‐Density Parity‐Check Codes: Introduction, Decoding, and Analysis

Chapter 16: Low‐Density Parity‐Check Codes: Designs and Variations

Part V: Polar Codes

Chapter 17: Polar Codes

Part VI: Applications

Chapter 18: Some Applications of Error Correction in Modern Communication Systems

Part VII: Space-Time Coding

Chapter 19: Fading Channels and Space‐Time Codes

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