LDPC Coded Modulations (eBook)

Contents 7
Preface 10
Preliminary Concepts 12
1.1 Introduction 12
1.2 Modeling a Communication System 12
1.3 Modulation 15
1.4 Error Correcting Codes 16
1.5 Information Theory Basics 19
1.6 The Following Chapters 26
Trellis-based Detection Techniques 28
2.1 Introduction 28
2.2 Hard-Output and Soft-Output Detection 28
2.3 Optimal Detection Strategies for Channels with Memory 39
2.4 Detection of Encoded Data 41
2.5 Concluding Remarks 45
Low-Density Parity-Check Codes 46
3.1 Introduction 46
3.2 Description of LDPC Codes 46
3.3 Statistical Description of LDPC Codes 49
3.4 Decoding Algorithms for LDPC Codes 51
3.5 Practical LDPC Code Design from Statistical Description 62
3.6 Encoding Techniques for LDPC Codes 65
3.7 Concluding Remarks 68
Performance Analysis Techniques 69
4.1 Introduction 69
4.2 Monte Carlo System Simulation 70
4.3 Density Evolution 76
4.4 EXIT Charts 79
4.5 EXIT Charts for LDPC Codes 86
4.6 Concluding Remarks 89
LDPC Coded Modulations: Analysis and Design 90
5.1 Introduction 90
5.2 LDPC Coded Modulation Schemes: Basics 92
5.3 Communication System Model 94
5.4 EXIT Chart-Based Performance Analysis 97
5.5 Upper and Lower Bounds on the BER 100
5.6 Code Design for LDPC Coded Modulations 102
5.7 Code Design for Fast Decoding Convergence 108
5.8 Code Design for a Target BER 117
5.9 Channels Code Design for Dispersive and Partial Response 127
5.10 Concluding Remarks 134
Memoryless Channels and LDPC Codes 136
6.1 Introduction 136
6.2 Performance of LDPC Codes on Binary-Input Memoryless Channels 137
6.3 Multilevel Code Design 144
6.4 Concluding Remarks 151
LDPC Codes and Differential Modulations 153
7.1 Introduction 153
7.2 Serial Concatenation of LDPC Codes with PSK and DE-PSK 154
7.3 Optimized LDPC Codes for PSK 158
7.4 LDPC Codes for DE-QAM 163
7.5 LDPC Codes for DE-PSK with Noncoherent Detection 165
7.6 Detection by Multiple Trellises 166
7.7 LDPC Coded Schemes with Detection by Mul-tiple Trellises 176
7.8 Concluding Remarks 184
Final Remarks 185
Bibliography 187
List of Acronyms 198
Index 200