Channel coding lies at the heart of digital communication and data storage, and this detailed introduction describes the core theory as well as decoding algorithms, implementation details, and performance analyses. In this book, Professors Ryan and Lin provide clear information on modern channel codes, including turbo and low-density parity-check (LDPC) codes. They also present detailed coverage of BCH codes, Reed-Solomon codes, convolutional codes, finite geometry codes, and product codes, providing a one-stop resource for both classical and modern coding techniques. Assuming no prior knowledge in the field of channel coding, the opening chapters begin with basic theory to introduce newcomers to the subject. Later chapters then extend to advanced topics such as code ensemble performance analyses and algebraic code design. 250 varied and stimulating end-of-chapter problems are also included to test and enhance learning, making this an essential resource for students and practitioners alike.
• Provides one-stop resource for both classical and modern coding techniques • Includes 250 varied and stimulating end-of-chapter problems, both routine calculations and computer simulations, to test and enhance learning • Starts with the basic theory before moving on to advanced topics, making it perfect for newcomers to the field of channel coding
Preface; 1. Coding and capacity; 2. Finite fields, vector spaces, finite geometries and graphs; 3. Linear block codes; 4. Convolutional codes; 5. Low-density parity-check codes; 6. Computer-based design of LDPC codes; 7. Turbo codes; 8. Ensemble enumerators for turbo and LDPC codes; 9. Ensemble decoding thresholds for LDPC and turbo codes; 10. Finite geometry LDPC codes; 11. Constructions of LDPC codes; 12. LDPC codes based on combinatorial designs, graphs, and superposition; 13. LDPC codes for binary erasure channels; 14. Non-binary LDPC codes; 15. LDPC code applications and advanced topics; Index.
'If you are teaching about coding now or looking for a complete reference on coding, this is a safe bet.' Alfy Riddle, IEEE Microwave Magazine