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Preface
8
Contents
10
Acronyms
14
1 Relaying: An Overview
16
1.1 Half-Duplex Relaying
16
1.2 Full-Duplex Relaying
18
1.3 Relay Functions
19
1.4 Organization of this Brief
20
1.5 Notation
21
References
22
2 Relay Protocols
25
2.1 General System Model
25
2.2 HD Protocols
26
2.2.1 NAF Protocol
26
2.2.2 DT Protocol
28
2.2.3 OAF Protocol
28
2.2.4 DHAF Protocol
29
2.2.5 TWAF Protocol
29
2.3 FD Protocols
30
2.3.1 LR Protocol
30
2.3.2 DHAF Protocol
32
2.4 Concluding Remarks
33
References
33
3 Half-Duplex AF Relaying: Capacity and Power Allocation Over Static Channels
35
3.1 Problem Formulation
36
3.2 Capacity Under Individual Power Constraints
37
3.3 Capacity Under Joint Power Constraints
42
3.4 High and Low Power Regions
45
3.4.1 Per-Node Power Constraints
45
3.4.1.1 High Source Power, Fixed Relay Power
45
3.4.1.2 High Relay Power, Fixed Source Power
45
3.4.1.3 High Source and Relay Power
46
3.4.1.4 Low Source and Relay Power
46
3.4.2 Global Power Constraint
46
3.4.2.1 High Global Power
47
3.4.2.2 Low Global Power
47
3.5 Illustrative Examples
47
3.5.1 Symmetric Network Model
48
3.5.2 Linear Network Model
49
3.6 Concluding Remarks
52
References
52
4 Half-Duplex AF Relaying: Achievable Rate and Power Allocation Over Fading Channels
54
4.1 Problem Formulation
55
4.2 Achievable Rates and Closed-Form Approximations
57
4.2.1 OW DHAF Systems
58
4.2.2 OW Cooperative Systems
60
4.2.3 TW Systems
62
4.2.4 Remarks
63
4.3 Optimal Power Allocation
64
4.3.1 DHAF Systems
65
4.3.2 Cooperative Systems
65
4.3.3 TW Systems
66
4.4 Closed-Form Solution for DHAF System with CI Coefficient
67
4.5 Illustrative Examples
68
4.5.1 Tightness of the Proposed Approximations
69
4.5.2 Optimal Power Allocation
70
4.6 Concluding Remarks
74
References
74
5 Half-Duplex AF Relaying: Adaptation Policies
76
5.1 Problem Formulation
77
5.2 Optimal Power Adaptation Schemes
78
5.2.1 OAF System
79
5.2.2 NAF System
80
5.2.3 TW System
83
5.3 Illustrative Examples
84
5.4 Concluding Remarks
86
References
86
6 Half-Duplex AF Relaying: Error Performance and Precoding
88
6.1 System Model
89
6.2 Performance Analysis
91
6.3 Diversity Benefits in Error-Floor Regions
94
6.3.1 Diversity and Coding Gain Functions
94
6.3.2 Optimal Class of Precoders
96
6.3.3 Design of Superposition Angles for IndependentMappings
98
6.4 Near-Capacity Design in Turbo Pinch-Off Areas
99
6.4.1 Multi-D Mapping in Precoded Multiple Cooperative Frames
100
6.4.2 EXIT Chart Analysis
101
6.5 Illustrative Examples
103
6.6 Concluding Remarks
105
References
106
7 Full-Duplex AF Relaying: Capacity Under ResidualSelf-Interference
107
7.1 Problem Formulation
108
7.2 Capacity and Optimal Power Allocation
109
7.3 Asymptotic Analysis
110
7.3.1 Large Source Power, Fixed Relay Power
110
7.3.2 Large Relay Power, Fixed Source Power
111
7.3.3 Large Source and Relay Power
111
7.3.4 Large Global Power
111
7.4 Illustrative Examples and Comparisons to HD Schemes
112
7.5 Concluding Remarks
114
References
114
8 Full-Duplex AF Relaying: Error Performance Under Residual Self-Interference
116
8.1 System Model
117
8.2 PEP Analysis and Tight BER Bounds
118
8.2.1 PEP for the LR System
119
8.2.2 PEP for the DH System
121
8.2.3 Tight BER Bounds of BICM-ID Systems
122
8.3 Diversity and Coding Gain Analysis
123
8.3.1 LR Analysis
123
8.3.1.1 Uncoded System
123
8.3.1.2 Coded System
125
8.3.2 DH Analysis
126
8.3.2.1 Uncoded System
127
8.3.2.2 Coded System
128
8.4 Illustrative Examples
128
8.4.1 LR Examples
128
8.4.2 DH Examples
130
8.5 Concluding Remarks
131
References
132
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