- 低密度奇偶校验码(设计构造与统一框架英文版香农信息科学经典)
- - 作者：李娟娥//(美)林舒//哈立德·阿卜杜勒·加法尔//威廉·瑞安//丹尼尔·科斯特洛|责编:陈亮
  - 出版社：世图出版公司
  - ISBN：9787519285111
  - 出版日期：2022/06/01
  - 页数：247
- 售价：31.6

内容大纲
这本由低密度奇偶校验（LDPC）码研究领域顶级专家撰写的教材系统讲解了LDPC码及其构造技术，并将基于代数和基于图的方法统一到一个理论框架。低密度奇偶校验（LDPC）码，当采用和积算法迭代译码时，拥有接近Shannon极限的译码性能，因此具有良好和广泛的应用前景。它包括二进制LDPC码和多进制LDPC码，本书对这两类LDPC码的译码原理，算法和应用进行了深入的研究。在中国数字电视地面传输系统标准和广电总局发布的移动多媒体广播行业推荐性标准中采用的信道编码技术，本文介绍LDPC码的基本原理。
本书适合作为高等院校低年级研究生或高年级本科生编码理论课程的教材或参考书，也可供相关技术人员参考。
作者介绍
目录
Preface
1 Introduction
2 Definitions, Concepts, and Fundamental Characteristics of LDPC Codes
  2.1  Matrices and Matrix Dispersions of Finite Field Elements
  2.2  Fundamental Structural Properties and Performance Characteristics of LDPC Codes
  2.3  Discussion and Remarks
3 A Review of PTG-Based Construction of LDPC Codes
  3.1  PTG-LDPC Code Construction
  3.2  Conclusion and Remarks
4 An Algebraic Method for Constructing QC-PTG-LDPC Codes and Code Ensembles
  4.1  Construction of QC-PTG-LDPC Codes by Decomposing Base Matrices
  4.2  Construction of RC-Constrained PTG Parity-Check Matrices
  4.3  Examples
  4.4  Construction of the Ensemble of PTG-LDPC Codes from an Algebraic Point of View
  4.5  Discussion and Remarks
5 Superposition Construction of LDPC Codes
  5.1  SP-Construction of LDPC Codes and Its Graphical Interpretation
  5.2  Ensembles of SP-LDPC Codes
  5.3  Constraints on the Construction of SP-LDPC Codes Free of Cycles of Length 4
  5.4  SP-Construction of QC-LDPC Codes
  5.5  SP-Base Matrices over Nonnegative Integers
  5.6  Discussion and Remarks
6 Construction of Base Matrices and RC-Constrained Replacement Sets for SP-Construction
  6.1  RC-Constrained Base Matrices
  6.2  Construction of RC-Constrained Replacement Sets Based on Hamming Codes
  6.3  Construction of RC-Constrained Replacement Sets Based on m-dimensional Euclidean Geometry EG(m, 2) over GF(2)
  6.4  Construction of RC-Constrained Replacement Sets Based on RC-Constrained Arrays of CPMs
  6.5  Discussion and Remarks
7 SP-Construction of QC-LDPC Codes Using Matrix Dispersion and Masking
  7.1  A Deterministic SP-Construction of QC-LDPC Codes
  7.2  Conditions on Girth of CPM-QC-SP-LDPC Codes
  7.3  A Finite Field Construction of 2 x 2 SM-Constrained SP-Base Matrices and Their Associated CPM-QC-SP-LDPC Codes
  7.4  Masking
  7.5  Design of Masking Matrices
  7.6  Construction of CPM-QC-SP-LDPC Codes for Correcting Bursts of Erasures by Masking
  7.7  Discussion and Remarks
8 Doubly QC-LDPC Codes
  8.1  Base Matrices with Cyclic Structure
  8.2  CPM-D-SP-Construction of Doubly QC-LDPC Codes
  8.3  Masking and Variations
  8.4  SP-Construction of CPM-QC-SP-LDPC Codes
  8.5  Discussion and Remarks
9 SP-Construction of Spatially Coupled QC-LDPC Codes
  9.1  Base Matrices and Their Structural Properties
  9.2  Type-1 QC-SC-LDPC Codes
  9.3  Type-2 QC-SC-LDPC Codes
  9.4  Terminated and Tailbiting CPM-QC-SC-LDPC Codes
  9.5  A More General Construction of Type-1 CPM-QC-SC-LDPC Codes
  9.6  A More General Construction of Type-2 CPM-QC-SC-LDPC Codes
  9.7  Discussion and Remarks

10 Globally Coupled QC-LDPC Codes
  10.1  Construction of CN-Based QC-GC-LDPC Codes: Method-1
  10.2  A Local/Global Two-Phase Decoding of CN-Based CPM-QC-GC-LDPC Codes
  10.3  Construction of CN-Based GC-LDPC Codes: Method-2
  10.4  CPM-Dispersion Construction of CN-Based Product QC-GC-LDPC Codes
  10.5  Discussion and Remarks
11 SP-Construction of Nonbinary LDPC Codes
  11.1  General SP-Construction of NB LDPC Codes Using Binary Base Matrices
  11.2  SP-Construction of NB QC-LDPC Codes
  11.3  Construction of NB QC-SP-LDPC Codes Using q-ary CPM-Dispersion
  11.4  CPM-D Construction of NB CPM-QC-SP-LDPC Codes Using Binary-to-Nonbinary Replacement
  11.5  Algebraic Construction of NB QC-PTG-LDPC Codes
  11.6  Construction of NB LDPC Codes from Reed-Solomon Codes
  11.7  Construction of NB QC-SP-LDPC Codes based on RS Codes
  11.8  Discussion and Remarks
12 Conclusion and Remarks
Appendices
A RC-Constrained Arrays of CPMs Constructed Based on Partial Geometries
  A.1  RC-Constrained Arrays of CPMs Constructed Based on Two-Dimensional Euclidean Geometries over Finite Fields
  A.2  RC-Constrained Arrays of CPMs Based on Partial Geometries Constructed from Prime Fields
B An Algorithm for Searching Compatible Masking and Base Matrices for the CPM-Dispersion Construction of QC-LDPC Codes
C Iterative Decoding Algorithm for NB LDPC Codes
  C.1  Introduction
  C.2  Algorithm Derivation
  C.3  The NB LDPC Decoding Algorithm
References
Index

内容大纲

作者介绍

目录

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