文件名称：Cyclic Division Algebras: A Tool for Space–Time Coding
文件大小：632KB
文件格式：PDF
更新时间：2013-07-11 08:19:09
Cyclic Division Algebras: A Tool
Contents 1 Introduction 1 1.1 Division Algebra Based Codes 2 1.2 Organization 3 2 The MIMO System Model 5 2.1 Introduction 5 2.2 Design Criteria for Space–Time Codes 7 2.3 Modulations and Full-Rate Codes 10 2.4 Decoding 13 2.5 Constellation Shaping 14 3 An Information Theoretic Perspective 21 3.1 Mutual Information of a Gaussian MIMO Channel 22 3.2 The Outage Probability 23 3.3 Diversity-Multiplexing Gain Trade-off of MIMO Channels 27 3.4 Trade-off Achieving Codes 32 3.5 Non-Vanishing Determinant Codes 37 3.6 Information Preserving Codes 39 4 Cyclic Division Algebras 41 4.1 Fields and Algebras 42 4.2 Algebras on Number Fields 45 4.3 Norm and Ring of Integers 55 4.4 Shaping, Lattices and Discriminant 61 5 Perfect Space–Time Block Codes 69 5.1 Definition of Perfect Space–Time Codes 69 5.2 The Golden Code 72 5.3 A Perfect STBC for 3 Antennas 75 5.4 A Perfect STBC for 4 Antennas 77 5.5 A Perfect STBC for 5 Antennas 79 5.6 A Perfect STBC for 6 Antennas 81 5.7 Optimality of Perfect STBCs 83 6 New Applications and Conclusion 85 6.1 Coding for Wireless Networks 85 6.2 Trellis/Block Coded Modulations 87 6.3 Other Issues 88 6.4 Conclusion 89 Acknowledgments 91 References 93