【MIMO通信学习笔记】Foundations of MIMO Communication

本文是Foundations of MIMO Communication(Robert W. Heath Jr. and Angel Lozano, 2018)笔记的总结帖。总算是在答辩完后三天看完了，没拖到研究生，

之前想过看好几本无线通信、MIMO的书，但都没能看完。。

Wireless communications (Andrea Goldsmith, 2005)

Fundamentals of wireless communication (David Tse and Pramod Viswanath)

先甩出笔记的链接：https://levitate.lanzouq.com/b0dg6sdli 密码:levitate

看的不算特别仔细，错误肯定很多，欢迎批评指正。

一些材料可以在这边下：Foundations of MIMO Communication (cambridge.org)，Foundations mimo communication | Wireless communications | Cambridge University Press

Part I: Wireless Communication Theory（第一部分：无线通信原理） 1
1 A primer on information theory and MMSE estimation（信息论与MMSE估计初步） 3
1.1 Introduction 3
1.2 Signal distributions 4
1.3 Information content 6
1.4 Information dependence 11
1.5 Reliable communication 17
1.6 MMSE estimation 39
1.7 LMMSE estimation 47
1.8 Summary 51
Problems 51
2 A signal processing perspective（信号处理的角度） 57
2.1 Introduction 57
2.2 Signal, channel, and noise representations 58
2.3 Signal, channel, and noise representations: extension to MIMO 77
2.4 Linear channel equalization 87
2.5 Single-carrier frequency-domain equalization 98
2.6 OFDM 104
2.7 Channel estimation 110
2.8 Summary and outlook 122
Problems 124
3 Channel modeling（信道建模） 131
3.1 Introduction 131
3.2 Preliminaries 132
3.3 Large-scale phenomena 135
3.4 Small-scale fading 143
3.5 Interlude: essential notions of antenna arrays 170
3.6 Modeling of MIMO channels 175
3.7 Channel estimation revisited 192
3.8 MIMO channel models in standards 199
3.9 Summary and outlook 202
Problems 205
4 Single-user SISO（单用户SISO） 209
4.1 Introduction 209
4.2 Interplay of bit rate, power, and bandwidth 209
4.3 AWGN channel 220
4.4 Frequency-selective channel 228
4.5 Frequency-flat fading channel 244
4.6 Frequency-selective fading channel 267
4.7 Which fading setting applies? 268
4.8 Pilot-assisted communication 271
4.9 Channels with interference 279
4.10 Summary and outlook 284
Problems 287

Part II: Single-user MIMO（单用户MIMO系统） 295
5 SU-MIMO with optimum receivers（最佳接收机的单用户MIMO系统） 297
5.1 Introduction 297
5.2 Initial considerations 298
5.3 CSIR and CSIT 301
5.4 No CSIT 311
5.5 No CSI 338
5.6 Pilot-assisted communication 341
5.7 Channels with interference 345
5.8 Optimum transmitter and receiver structures 348
5.9 Link adaptation 358
5.10 Reciprocity and CSI feedback 361
5.11 Summary and outlook 374
Problems 378
6 SU-MIMO with linear receivers（线性接收机的单用户MIMO系统） 386
6.1 Introduction 386
6.2 General characteristics of linear MIMO receivers 387
6.3 Linear ZF receiver 388
6.4 LMMSE receiver 396
6.5 Relationship between the LMMSE and the optimum receiver 407
6.6 Summary and outlook 408
Problems 410

Part III: Multiuser MIMO（多用户MIMO系统） 413
7 Multiuser communication prelude（多用户通信序曲） 415
7.1 Introduction 415
7.2 Spectral efficiency region 416
7.3 Orthogonal channel sharing 418
7.4 Non-orthogonal channel sharing 420
7.5 Scalar metrics 422
7.6 User selection and resource allocation 426
7.7 Low-SNR regime 429
7.8 Summary and outlook 431
Problems 433
8 MU-MIMO with optimum transceivers（最佳收发信机的多用户MIMO系统） 436
8.1 Introduction 436
8.2 The multiple-access channel 437
8.3 Multiple-access channel with CSIR and CSIT 440
8.4 Multiple-access channel with no CSIT 457
8.5 Multiple-access channel with no CSI 460
8.6 Pilot-assisted multiple-access channel 461
8.7 Duality between the multiple access and broadcast channels 462
8.8 The broadcast channel 467
8.9 Broadcast channel with CSIR and CSIT 469
8.10 Broadcast channel with no CSIT 487
8.11 Summary and outlook 490
Problems 490
9 MU-MIMO with linear transceivers（线性收发信机的多用户MIMO系统） 497
9.1 Introduction 497
9.2 Linear receivers for the multiple-access channel 498
9.3 Linear ZF receiver for the multiple-access channel 500
9.4 LMMSE receiver for the multiple-access channel 507
9.5 Duality with linear transceivers 514
9.6 Linear transmitters for the broadcast channel 516
9.7 Linear ZF transmitter for the MU-MISO broadcast channel 517
9.8 Block-diagonalization for the broadcast channel 554
9.9 Regularized ZF transmitter for the broadcast channel 562
9.10 Summary and outlook 571
Problems 574
10 Massive MIMO（大规模MIMO系统） 578
10.1 Introduction 578
10.2 Going massive 579
10.3 Reverse-link channel estimation 582
10.4 Reverse-link data transmission 587
10.5 Forward-link data transmission 615
10.6 Mitigation of pilot contamination 623
10.7 Practical considerations 628
10.8 Summary and outlook 631
Problems 636
11 Afterword 643
11.1 Beyond cellular 643
11.2 Beyond wireless 644

Appendices 647
Appendix A: Transforms 649
Appendix B: Matrix algebra 653
Appendix C: Random variables and processes 661
Appendix D: Gradient operator 674
Appendix E: Special functions 676
Appendix F: Landau symbols 680
Appendix G: Convex optimization 681
References 685
Index 752