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MIMO RADAR SIGNAL PROCESSING
Edited by JIAN LI PETRE STOICA
CONTENTS
PREFACE xiii
CONTRIBUTORS xvii
1 MIMO Radar — Diversity Means Superiority 1
Jian Li and Petre Stoica
1.1 Introduction 1
1.2 Problem Formulation 4
1.3 Parameter Identifiability 5
1.3.1 Preliminary Analysis 5
1.3.2 Sufficient and Necessary Conditions 7
1.3.3 Numerical Examples 8
1.4 Nonparametric Adaptive Techniques for Parameter Estimation 11
1.4.1 Absence of Array Calibration Errors 12
1.4.2 Presence of Array Calibration Errors 15
1.4.3 Numerical Examples 18
1.5 Parametric Techniques for Parameter Estimation 28
1.5.1 ML and BIC 28
1.5.2 Numerical Examples 34
1.6 Transmit Beampattern Designs 35
1.6.1 Beampattern Matching Design 35
1.6.2 Minimum Sidelobe Beampattern Design 38
1.6.3 Phased-Array Beampattern Design 39
2.6.5 SNR Loss and Waveform Optimization 107
2.6.6 Area Search Rates 109
2.6.7 Some Examples 109
2.7 Summary 111
Appendix 2A A Localization Principle 111
Appendix 2B Bounds on R(N) 114
Appendix 2C An Operator Norm Inequality 115
Appendix 2D Negligible Terms 115
Appendix 2E Bound on Eigenvalues 115
Appendix 2F Some Inner Products 116
Appendix 2G An Invariant Inner Product 117
Appendix 2H Kro¨necker and Tensor Products 118
2H.1 Lexicographical Ordering 118
2H.2 Tensor and Kro¨necker Products 118
2H.3 Properties 119
Acknowledgments 119
References 120
3 Generalized MIMO Radar Ambiguity Functions 123
Geoffrey San Antonio, Daniel R. Fuhrmann, and Frank C. Robey
3.1 Introduction 123
3.2 Background 124
3.3 MIMO Signal Model 127
3.4 MIMO Parametric Channel Model 131
3.4.1 Transmit Signal Model 131
3.4.2 Channel and Target Models 132
3.4.3 Received Signal Parametric Model 133
3.5 MIMO Ambiguity Function 134
3.5.1 MIMO Ambiguity
Function Composition 137
3.5.2 Cross-Correlation Function under
Model Simplifications 138
3.5.3 Autocorrelation Function and Transmit
Beampatterns 141
3.6 Results and Examples 143
3.6.1 Orthogonal Signals 143
3.6.2 Coherent Signals 147
3.7 Conclusion 149
References 150 |
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