带反馈的多天线系统中的资源分配（博士论文）

liuwei_0613

Contents
Contents v
1 Introduction 1
1.1 Digital Communication over Wireless Channels . . . . . . . . . . . . 4
1.2 Channel Quality Measures and Performance Limits . . . . . . . . . . 7
1.3 Scheduling in Multiuser Systems . . . . . . . . . . . . . . . . . . . . 8
1.4 Digital Communication using Multiple Antennas . . . . . . . . . . . 9
1.5 Multiuser Techniques for Wideband Channels . . . . . . . . . . . . . 12
1.6 Statistical Modeling of the Wireless Channel . . . . . . . . . . . . . 17
1.7 Statistical Channel Knowledge at the Transmitter . . . . . . . . . . 18
1.8 Feedback of Channel-State Information . . . . . . . . . . . . . . . . 19
1.9 SINR Estimation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
1.10 Outline and Contributions . . . . . . . . . . . . . . . . . . . . . . . . 21
1.11 Contributions Outside the Scope of the Thesis . . . . . . . . . . . . 27
2 Optimal Beamforming with Side Constraints 29
2.1 Introduction to Optimal Beamforming . . . . . . . . . . . . . . . . . 29
2.2 Problem Formulation . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
2.3 Beamforming Using Semidefinite Programming . . . . . . . . . . . . 37
2.4 Beamforming Using the Virtual-Uplink Domain . . . . . . . . . . . . 39
2.5 Optimized Weighted Sum-Rate Beamforming . . . . . . . . . . . . . 44
2.A Lemmas for Proof of Strong Duality for P . . . . . . . . . . . . . . . 46
2.B Proof of Strong Duality for G . . . . . . . . . . . . . . . . . . . . . . 48
2.C Proof of Theorem 2.8 . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
3 Applications for Constrained Beamforming 53
3.1 Path Diversity in DS-CDMA . . . . . . . . . . . . . . . . . . . . . . 53
3.2 Interference Constraints . . . . . . . . . . . . . . . . . . . . . . . . . 57
4 User Selection with MMSE SINR Estimation 63
4.1 System Assumptions . . . . . . . . . . . . . . . . . . . . . . . . . . . 64
4.2 System Design with MMSE SINR Estimation . . . . . . . . . . . . . 65
5 Low-Complexity Beamforming 71
5.1 Generalized Zero Forcing . . . . . . . . . . . . . . . . . . . . . . . . . 71
5.2 Virtual-UplinkMVDR Beamforming . . . . . . . . . . . . . . . . . . 76
5.3 One-Shot Beamforming . . . . . . . . . . . . . . . . . . . . . . . . . 77
6 MMSE SINR Estimation with CGI Feedback 81
6.1 Channel Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82
6.2 The Conditional Channel Distribution . . . . . . . . . . . . . . . . . 83
6.3 Zero-Mean Channels . . . . . . . . . . . . . . . . . . . . . . . . . . . 88
6.4 Asymptotic Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . 92
6.5 Channels with Non-Zero Mean . . . . . . . . . . . . . . . . . . . . . 95
6.A Lemmas for Proof of Theorem 6.4 . . . . . . . . . . . . . . . . . . . 98
6.B Generating Realizations of the Conditional Distribution . . . . . . . 101
6.C Lemmas for the Derivations of Conditional PDFs . . . . . . . . . . . 102
6.D Proof of Theorem 6.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . 104
6.E Proofs of Corollaries . . . . . . . . . . . . . . . . . . . . . . . . . . . 105
6.F Proof of Theorem 6.10 . . . . . . . . . . . . . . . . . . . . . . . . . . 107
7 Performance Evaluation 113
7.1 Comparison of GZF and MVDR Beamforming . . . . . . . . . . . . 114
7.2 System Evaluation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117
7.3 Finite Rate Feedback . . . . . . . . . . . . . . . . . . . . . . . . . . . 125
8 Generalization of the CGI Parameter 129
8.1 Computing the Conditional Moments . . . . . . . . . . . . . . . . . . 130
8.2 Performance Evaluation of Pilot Signaling on Selected Antennas . . 133
8.3 Approximation for Reduced Complexity . . . . . . . . . . . . . . . . 134
8.A Proof of Theorem 8.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . 137
8.B Proof of Corollary 8.2 . . . . . . . . . . . . . . . . . . . . . . . . . . 138
8.C Proof of Corollary 8.3 . . . . . . . . . . . . . . . . . . . . . . . . . . 139
9 Thesis Conclusions 141
A Nomenclature 143
A.1 Notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143
A.2 Thesis Specific Symbols and Functions . . . . . . . . . . . . . . . . . 146
A.3 Abbreviations and Acronyms . . . . . . . . . . . . . . . . . . . . . . 148
B Matrix Relations 151
C DS-CDMA Model 153
C.1 Descrambling and RAKE Combining . . . . . . . . . . . . . . . . . . 153
C.2 Long-Term SINR in DS-CDMA systems . . . . . . . . . . . . . . . . 155
Bibliography 157

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