目录 1 Introduction 11.1 Background 11.2 Related Works 41.2.1 Detection Methods for Jointly Sparse Signals 41.2.2 Recovery Methods for Jointly Sparse Signals 51.3 Main Content and Organization 9References 122 Detection of Jointly Sparse Signals via Locally Most Powerful Tests with Gaussian Noise 172.1 Introduction 172.2 Signal Model for Jointly Sparse Signal Detection 182.3 LMPT Detection Based on Analog Data 202.3.1 Detection Method 202.3.2 Theoretical Analysis of Detection Performance 232.4 LMPT Detection Based on Coarsely Quantized Data 252.4.1 Detection Method 262.4.2 Quantizer Design and the Effect of Quantization on Detection Performance 282.5 Simulation Results 332.5.1 Simulation Results of the LMPT Detector with Analog Data 332.5.2 Simulation Results of the LMPT Detector with Quantized Data 352.6 Conclusion 40References 403 Detection of Jointly Sparse Signals via Locally Most Powerful Tests with Generalized Gaussian Model 433.1 Introduction 433.2 The LMPT Detector Based on Generalized Gaussian Model and Its Detection Performance 433.2.1 Generalized Gaussian Model 443.2.2 Signal Detection Method 463.2.3 Theoretical Analysis of Detection Performance 493.3 Quantizer Design and Analysis of Asymptotic Relative Efficiency 503.3.1 Quantizer Design 503.3.2 Asymptotic Relative Ef?ciency 533.4 Simulation Results 543.5 Conclusion 59References 594 Jointly Sparse Signal Recovery Method Based on Look-Ahead-Atom-Selection 614.1 Introduction 614.2 Background of Recovery of Jointly Sparse Signals 624.3 Signal Recovery Method Based on Look-Ahead-Atom-Selection and Its Performance Analysis 644.3.1 Signal Recovery Method 654.3.2 Performance Analysis 674.4 Experimental Results 694.5 Conclusion 75References 755 Signal Recovery Methods Based on Two-Level Block Sparsity 775.1 Introduction 775.2 Signal Recovery Method Based on Two-Level Block Sparsity with Analog Measurements 795.2.1 PGM-Based Two-Level Block Sparsity 795.2.2 Two-Level Block Matching Pursuit 835.3 Signal Recovery Method Based on Two-Level Block Sparsity with 1-Bit Measurements 865.3.1 Background of Sparse Signal Recovery Based on 1-Bit Measurements 875.3.2 Enhanced-Binary Iterative Hard Thresholding 895.4 Simulated and Experimental Results 945.4.1 Simulated and Experimental Results Based on Analog Data 945.4.2 Simulated and Experimental Results Based on 1-Bit Data 995.5 Conclusion 104References 1056 Summary and Perspectives 1076.1 Summary 1076.2 Perspectives 109References 110Appendix A: Proof of (2.61) 111Appendix B: Proof of Lemma 1 113Appendix C: Proof of (3.6) 115Appendix D: Proof of Theorem 1 117Appendix E: Proof of Lemma 2 119About the Author 121 作者介绍 王学谦,2020年毕业于清华大学信息与通信工程专业,导师为李刚教授。现在清华大学从事博士后研究,导师为何友院士,研究方向为稀疏信号处理、信息融合、遥感图像处理、雷达成像、目标检测。近5年以作者发表SCI期刊文章10篇(其中包括8篇IEEE长文),以作者发表EI国际会议文章4篇,已授权专利4项。获北京市毕业生、清华大学水木学者、清华大学博士毕业论文等荣誉,主持国家博士后创新人才支持计划、博士后面上基金项目。 序言
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