- 现代编码理论(英文版香农信息科学经典)
- - 作者：(美)汤姆·理查森//(奥)鲁迪格·厄本克|责编:陈亮
  - 出版社：世图出版公司
  - ISBN：9787519285104
  - 出版日期：2022/06/01
  - 页数：572
- 售价：55.6

内容大纲
本书是一本关于迭代编码技术的前沿著作，书中着重于基础理论，并提出了分析和设计实际迭代编码系统的技术。书中还有专门关于因子图（Factor Graph）的一章，将一些信息论，编码和通信理论的重要主题予以统一处理。本书内容清晰易懂，内容深入浅出，既保持理论的完整性、系统性，又概念清楚、易读好懂，同时注重编码理论与应用的新发展。为经典和现代编码技术提供了一站式资源，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
  §1.1  Why You Should Read This Book
  §1.2  Communications Problem
  §1.3  Coding: Trial and Error
  §1.4  Codes and Ensembles
  §1.5  MAP and ML Decoding and APP Processing
  §1.6  Channel Coding Theorem
  §1.7  Linear Codes and Complexity
  §1.8  Rate, Probability, Complexity, and Length
  §1.9  Tour of Iterative Decoding
  §1.10  Notation, Conventions, and Useful Facts
  Notes
  Problems
  References
2  FACTOR GRAPHS . page
  §2.1  Distributive Law
  §2.2  Graphical Representation ofFactorizations
  §2.3  Recursive Determination of Marginals
  §2.4  Marginalization via Message Passing
  §2.5  Decoding via Message Passing
  §2.6  Limitations of Cycle-Free Codes
  §2.7  Message Passing on Codes with Cycles
  Notes
  Problems
  References
3  BINARY ERASURE CHANNEL
  §3.1  ChannelModel
  §3.2  Transmission via Linear Codes
  §3.3  Tanner Graphs
  §3.4  Low-DensityParity-Check Codes
  §3.5  Message-PassingDecoder
  §3.6  Two Basic Simplifications
  §3.7  Computation Graph and Tree Ensemble
  §3.8  Tree Channel and Convergence to Tree Channel
  §3.9  Density Evolution
  §3.10  Monotonicity
  §3.11  Xhreshold
  §3.12  Fixed Point Characterization of Threshold
  §3.13  Stability
  §3.14  EXIT Charts
  §3.15  Capacity-Achieving Degree Distributions
  §3.16  Gallager's Lower Bound on Density
  §3.17  Optimally Sparse Degree Distribution Pairs
  §3.18  Degree Distributions with Given Maximum Degree
  §3.19  Peeling Decoder and Order of Limits
  §3.20  EXIT Function and MAP Performance
  §3.21  Maxwell Decoder
  §3.22  Exact Finite-Length Analysis
  §3.23  Finite-Length Scaling

  §3.24  Weight Distribution and Error Floor
  Notes
  Problems
  References
4  BINARY MEMORYLESS SYMMETRIC CHANNELS
  §4.1  Basic Definitions and Examples
  §4.2  Message-PassingDecoder
  §4.3  Two Basic Simplifications
  §4.4  Tree Channel and Convergence to Tree Channel
  §4.5  Density Evolution
  §4.6  Monotonicity
  §4.7  Threshold
  §4.8  Fixed Point Characterization of Threshold
  §4.9  Stability
  §4.1  o EXIT Charts
  §4.11  Gallager's Lower Bound on Density
  §4.12  GEXIT Function and MAP Performance
  §4.13  Finite-Length Scaling
  §4.14  Error Floor under MAP Decoding
  Notes
  Problems
  References
5  GENERAL CHANNELS
  §5.1  Fading Channel
  §5.2  Z Channel
  §5.3  Channels with Memory
  §5.4  Coding for High Spectral Efficiency
  §5.5  Multiple-Access Channel
  Notes
  Problems
  References
6  TURBO CODES
  §6.1  Convolutional Codes
  §6.2  Structure and Encoding
  §6.3  Decoding
  §6.4  Basic Simplifications
  §6.5  Density Evolution
  §6.6  Stability Condition
  §6.7  EXIT Charts
  §6.8  GEXlT Function and MAP Performance
  §6.9  Weight Distribution and Error Floor
  §6.1  o Variations on the Theme
  Notes
  Problems
  References
7  GENERAL ENSEMBLES
  §7.1  Multi-Edge-Type LDPC Code Ensembles
  §7.2  Multi-Edge-Type LDPC Codes: Analysis
  §7.3  Structured Codes
  §7.4  Non-BinaryCodes

  §7.5  Low-Density Generator Codes and Rateless Codes
  Notes
  Problems
  References
8  EXPANDER CODES AND FLIPPING ALGORITHM
  §8.1  Building Codes from Expanders
  §8.2  Flipping Algorithm
  §8.3  Bound on Expansion of a Graph
  §8.4  Expansion of a Random Graph
  Notes
  Problems
  References
A ENCODING Low-DENSITY PARITY-CHECK CODES
  §A.1  Encoding Generic LDPC Codes
  §A.2  Greedy Upper Triangulation
  §A.3  Linear Encoding Complexity
  §A.4  Analysis of Asymptotic Gap
  Notes
  Problems
  References
EFFICIENT IMPLEMENTATION OF DENSITY EVOLUTION
  §B.1  Quantization
  §B.2  Variable-Node Update via Fourier Transform
  §B.3  Check-Node Update via Table Method
  §B.4  Check-Node Update via Fourier Method
  Notes
  Problems
  References
C CONCENTRATION INEQUALITIES
  §C.1  First and Second Moment Method
  §C.2  Bernstein's Inequality
  §C.3  Martingales
  §C.4  Wormald's Differential Equation Approach
  §C.5  Convergence to Poisson Distribution
  Notes
  Problems
  References
D FORMAL POWER SUMS
  §D.1  Definition
  §D.2  Basic Properties
  §D.3  Summation of Subsequences
  §D.4  Coefficient Growth of Powers of Polynomials
  §D.5  Unimodality
  Notes
  Problems
  References
E  CONVEXITY, DEGRADATION, AND STABILITY
AUTHORS
INDEX

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