(Ebook PDF) Error Control Coding 2nd Edition by Shu Lin, Daniel Costello 0130426725 9780130426727 Full chapter
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ISBN 10: 0130426725
ISBN 13: 978-0130426727
Author: Shu Lin, Daniel Costello
For a first course on coding theory at the senior or beginning graduate level.
A reorganized and comprehensive major revision of a classic textbook. This text provides a bridge between introductory courses in digital communications and more advanced courses in information theory. Completely updated to cover the latest developments. It presents state-of-the-art error control techniques.
Error Control Coding 2nd Table of contents:
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Chapter 1: Fundamentals of Error Control
- Basic concepts: errors, noise, and the need for error control
- Types of errors: bit errors, burst errors
- Types of codes: block codes, convolutional codes
- Performance measures: error probability, coding gain, and the Shannon limit
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Chapter 2: Linear Block Codes
- Introduction to linear block codes
- Hamming codes, Cyclic codes, and their properties
- Generator matrices and parity check matrices
- Encoding and decoding procedures
- Error detection and error correction capabilities of linear block codes
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Chapter 3: Cyclic Codes
- Detailed study of cyclic codes and their mathematical foundations
- Generator polynomials and their properties
- Encoding and decoding algorithms for cyclic codes
- Applications of cyclic codes in communication systems
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Chapter 4: Convolutional Codes
- Introduction to convolutional codes and their structure
- Code rate, memory, and state diagram representation
- Encoding techniques for convolutional codes
- Viterbi algorithm for decoding convolutional codes
- Performance analysis of convolutional codes
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Chapter 5: Turbo Codes
- Introduction to turbo codes and their significance in modern communication systems
- Structure and decoding of turbo codes
- Interleaving and the use of multiple component codes
- The iterative decoding process and its performance benefits
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Chapter 6: Low-Density Parity-Check (LDPC) Codes
- Introduction to LDPC codes and their construction
- Tanner graphs and the decoding process
- Belief propagation and message-passing algorithms for LDPC decoding
- Applications and performance of LDPC codes in modern communications
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Chapter 7: Coding for the BSC and the BEC
- Error control coding for Binary Symmetric Channels (BSC) and Binary Erasure Channels (BEC)
- Capacity of these channels and optimal coding strategies
- Coding techniques for achieving near-optimal performance
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Chapter 8: Performance Bounds
- Introduction to performance bounds in error control coding
- The Hamming bound, Singleton bound, and Plotkin bound
- The Gilbert-Varshamov bound and the Sphere Packing bound
- Code design and trade-offs in achieving good error correction performance
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Chapter 9: Syndrome Decoding and Error Detection
- Syndrome decoding methods and their applications
- Error detection algorithms and their efficiency
- Burst error correction and error patterns
- Using syndrome decoding for various types of codes (e.g., BCH, Reed-Solomon)
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Chapter 10: Error Control Coding in Communication Systems
- Practical applications of error control codes in modern communication systems
- Coding schemes for wireless, satellite, and optical communication systems
- Coding in deep-space communications and high-speed networks
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Chapter 11: Applications in Data Storage and Retrieval
- Error control coding in hard disk drives, CDs, and DVDs
- Coding techniques for error correction in data storage media
- The importance of coding in digital video and audio storage
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Chapter 12: Advanced Topics in Error Control Coding
- Theoretical foundations of network coding
- Turbo product codes and space-time codes
- Polar codes and their applications
- Coding for non-binary channels and multiple access systems
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Chapter 13: Future Trends in Error Control Coding
- Emerging trends in coding theory and its applications
- Quantum error correction codes and their significance in quantum computing
- Next-generation error correction for 5G and beyond
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