Technical Book: Low-Density Parity Check Codes and Their Decoding Methods
WS222 *Available for preview.
Technical Book [Low-Density Parity Check Codes and Their Decoding Methods - LDPC Codes / Sum-Product Decoding Method] *Available for preview.
Masaru Wadayama, Assistant, Department of Information and Communication Engineering, Okayama Prefectural University *Author's Biography Graduated from the Department of Electronic Engineering, Kyoto Institute of Technology in 1991. Completed the Master's program at the Graduate School of Kyoto Institute of Technology in 1993. Withdrew from the Doctoral program at the same graduate school in 1995. Received a Doctorate (Engineering, by thesis submission) from Kyoto Institute of Technology in 1997. Visiting researcher at the Institute for Experimental Mathematics, University of Essen (Germany) for one year in 1999. Assistant at the Department of Information Engineering, Okayama Prefectural University from 1995 to present. <Publication Date> June 5, 2002 <Format> B5 size, 177 pages <Price> 52,290 yen (including tax)
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Chapter 1: Channel Coding 1. Framework of Channel Coding Problems 2. Linear Codes 3. Channel Capacity and Shannon Limit 4. Literature Guide Chapter 2: Low-Density Parity-Check Codes 1. LDPC Codes 2. Construction Methods for Check Matrices 3. Decoding of LDPC Codes 4. Encoding of LDPC Codes 5. Randomness and Low Density 6. Trends in Research on LDPC Codes 7. Literature Guide Chapter 3: Bayesian Inference and Bayesian Networks 1. Bayes' Theorem and Marginalization 2. Maximum A Posteriori Decoding Method 3. Efficient Calculation Methods for Marginal Distributions 4. Factor Graphs and Sum-Product Algorithm 5. Literature Guide Chapter 4: Sum-Product Decoding Method 1. BCJR Algorithm 2. Tanner Graphs 3. Probability Domain Sum-Product Decoding Method 4. Logarithmic Domain Sum-Product Decoding Method 5. Computational Complexity of Sum-Product Decoding Method
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Chapter 5 Advanced Topics on LDPC Codes 1 Design of Non-Regular LDPC Codes Based on Iterative Threshold 2 Algebraic Construction Methods for LDPC Codes 3 Construction of LDPC Codes Based on Combinatorial Design 4 LDPC Codes Based on Expander Graphs 5 Convergence of Sum-Product Decoding 6 Relation to Information Theory Chapter 6 Applications to Coded Modulation 1 Channel Models 2 Decoding Methods for LDPC Coded Modulation Schemes 3 Signal Point Mapping and Decoding Characteristics 4 Decoding Performance of LDPC Coded 8PSK and 16QAM Chapter 7 Applications to Memory Channels 1 Design Principles for Decoding Algorithms 2 Iterative Decoding Methods Suitable for Hidden Markov Channels Appendix A Validity of the BCJR Algorithm Appendix B Implementation of the BCJR Algorithm 1 BCJR Algorithm with Normalization Operations 2 Log-Domain BCJR Algorithm Appendix C Equivalence of Probability Domain and Log-Domain Sum-Product Decoding 1 Preparation 2 Equivalence of Row Processing 3 Equivalence of Column Processing 4 Update Formulas Using tanh Appendix D Example MATLAB Programs for Log-Domain Sum-Product Decoding
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