| Preface | xiii |
| References | xv |
| Acknowledgments | xvii |
| 1 | Radar and Sonar | 1 |
| 1.1 | Summary | 1 |
| 1.2 | Introduction | 2 |
| 1.3 | The Active Radar or Sonar Signal | 4 |
| 1.4 | Physical Interpretation | 8 |
| 1.5 | Passive Listening | 10 |
| 2 | Optimum Reception in White Noise | 13 |
| 2.1 | Summary | 13 |
| 2.2 | Principle | 17 |
| 2.2.1 | Estimation of a Parameter | 18 |
| 2.2.2 | Simultaneous Estimation of Several Parameters | 19 |
| 2.2.3 | Optimum Detection | 20 |
| 2.3 | Optimum Receiver | 22 |
| 2.3.1 | Optimum Estimator | 22 |
| 2.3.2 | Optimum Detector | 25 |
| 2.3.3 | Estimation Performance: The Ambiguity Function | 28 |
| 2.3.4 | Detection Performance | 31 |
| 2.3.5 | Conclusion | 34 |
| References | 36 |
| Appendix 2A | Cramer-Rao Equality | 36 |
| 3 | Application to Radar | 39 |
| 3.1 | Summary | 39 |
| 3.2 | Doppler-Range Ambiguity | 45 |
| 3.2.1 | Definitions: Time, Duration, Frequency, and Bandwidth Modulation | 46 |
| 3.2.2 | Measurement of the Time Delay or of the Frequency of Signal | 48 |
| 3.2.3 | Simultaneous Measurement of the Time Delay and the Doppler Shift | 50 |
| 3.2.4 | Doppler-Range Ambiguity Function | 53 |
| 3.3 | Examples of Doppler-Range Ambiguity Functions | 54 |
| 3.3.1 | Gaussian Pulse | 55 |
| 3.3.2 | Pulse with Linear Frequency Modulation (Chirp) | 56 |
| 3.3.3 | Pulse Compression | 59 |
| 3.3.4 | Encoded Pulse Sequence | 60 |
| 3.3.5 | Pulse Train | 62 |
| 3.3.6 | Reception of a Pulse Train | 66 |
| 3.3.7 | Range and Velocity Ambiguities | 69 |
| 3.3.8 | Constant False Alarm Rate Detection | 70 |
| 3.4 | Radar Mapping: Synthetic Aperture Radar | 72 |
| 3.5 | Angular Location | 77 |
| 3.5.1 | Angle-Range-Doppler Optimum Receiver | 78 |
| 3.5.2 | Angular Tracking Sum Channel, Difference Channel | 82 |
| 3.5.3 | Radar Angle-Error Detection | 87 |
| 3.5.4 | Comments | 89 |
| 3.6 | Implementation | 90 |
| 3.6.1 | General Approach | 90 |
| 3.6.2 | Functional Design | 92 |
| 3.6.3 | Architecture Design | 92 |
| 3.6.4 | Hardware and Software Development | 93 |
| 3.7 | Systematic Signal Processing | 94 |
| References | 95 |
| Appendix 3A | Relation Between the Duration and Bandwidth of a Signal | 96 |
| Appendix 3B | Radar Range Equation | 97 |
| 3B.1 | Thermal Noise | 97 |
| 3B.2 | Signal-to-Noise Ratio | 98 |
| 3B.3 | Performance | 100 |
| Appendix 3C | Spectral Purity | 101 |
| 3C.1 | Phase and Amplitude Noise | 102 |
| 3C.2 | Reception | 102 |
| 3C.3 | Example: Pulse Radar with High Repetition Frequency | 105 |
| 3C.4 | Application | 106 |
| References | 106 |
| 4 | Optimum Reception in Colored Noise | 107 |
| 4.1 | Summary | 107 |
| 4.2 | Introduction | 109 |
| 4.2.1 | Background | 109 |
| 4.2.2 | Method | 109 |
| 4.3 | Receiver Structure | 110 |
| 4.3.1 | Reception by Whitening | 110 |
| 4.3.2 | Reception by Subtraction of the Colored Part of the Noise | 114 |
| 4.4 | Application to Spurious Echoes (or Jammers) | 115 |
| 4.5 | Stationary Colored Noise and Infinite Observation Time | 118 |
| 4.5.1 | Whitening | 119 |
| 4.5.2 | Subtraction of the Colored Part of the Noise | 120 |
| 4.5.3 | Optimum Processing Gain | 122 |
| 4.6 | Discussion | 123 |
| Appendix 4A | Karhunen-Loeve Expansion | 124 |
| 4A.1 | The Problem | 124 |
| 4A.2 | Properties of the Integral Equation | 126 |
| Appendix 4B | Optimum Receiver in Colored Noise | 126 |
| Appendix 4C | Estimation of a Random Signal in the Presence of White Noise--Wiener-Hopf Equation | 129 |
| 5 | Adaptive Processing | 133 |
| 5.1 | Summary | 133 |
| 5.2 | Introduction | 139 |
| 5.3 | Adaptive Noise Suppression | 139 |
| 5.3.1 | Receiver Structure | 139 |
| 5.3.2 | Adaptive Filtering Using a Transversal Filter | 144 |
| 5.3.3 | Convergence | 148 |
| 5.3.4 | Application | 150 |
| 5.4 | Adaptive Whitening | 152 |
| 5.4.1 | Receiver Structure | 152 |
| 5.4.2 | Adaptive Whitening by Lattice Filter | 157 |
| 5.4.3 | Application | 157 |
| 5.5 | Sensor Arrays | 160 |
| 5.5.1 | Problem Statement | 160 |
| 5.5.2 | Application to Jammer Cancellation | 163 |
| 5.5.3 | Adaptive Digital Beamforming with Noise-Only Reference | 169 |
| 5.5.4 | Processing Without Noise-Only Reference | 170 |
| 5.5.5 | Radar Angle-Error Measurement in the Presence of External Interference | 172 |
| 5.5.6 | Capon's Adaptive Processing by Constrained Minimization | 174 |
| 5.5.7 | Application: Space-Time Processing | 177 |
| 5.5.8 | Equivalence Between Adaptive Suppression and Constrained Minimization | 180 |
| 5.5.9 | Calibration | 181 |
| 5.5.10 | Coherent Targets | 186 |
| 5.5.11 | Sidelobe Blanking | 189 |
| 5.6 | Discussion | 190 |
| 5.7 | Passive Listening | 191 |
| 5.7.1 | Problem Statement | 191 |
| 5.7.2 | Maximum Likelihood (Signal + Noise) | 193 |
| 5.7.3 | Spectral Decomposition (Multiple Sources + Noise): MUSIC | 194 |
| 5.7.4 | Comparison | 197 |
| 5.7.5 | Generalized Correlation | 200 |
| 5.7.6 | Discussion | 202 |
| 5.8 | Conclusion | 202 |
| References | 204 |
| Appendix 5A | Matrix Inversion Lemma | 205 |
| 6 | Target and Background Signatures | 207 |
| 6.1 | Summary | 207 |
| 6.2 | Radar or Sonar Reflection | 212 |
| 6.2.1 | Polarization | 213 |
| 6.2.2 | RCS | 217 |
| 6.2.3 | Simple Examples | 219 |
| 6.2.4 | Sonar Reflection | 223 |
| 6.3 | Modeling of Nondeformable Targets | 224 |
| 6.3.1 | Analytical Models of RCS or Sonar Target Strength | 224 |
| 6.3.2 | Multiple Scatterers Target Model: Radar Holography | 242 |
| 6.3.3 | Stochastic Models | 248 |
| 6.3.4 | Conclusion | 252 |
| 6.3.5 | Examples: Impulse Response and Transverse Response | 253 |
| 6.4 | Deformable Targets | 258 |
| 6.4.1 | Helicopter Signatures | 258 |
| 6.4.2 | Jet Engine Signatures | 260 |
| 6.4.3 | Vehicle Signatures | 261 |
| 6.5 | Background Signatures | 263 |
| 6.5.1 | Direct Echoes from Backgrounds: Clutter | 264 |
| 6.5.2 | Multiple Paths | 269 |
| 6.5.3 | Propagation | 272 |
| 6.6 | Passive Listening | 273 |
| References | 275 |
| Appendix 6A | A Multifrequency Ground Clutter Model | 277 |
| 6A.1 | Weibull Ground Clutter | 277 |
| 6A.2 | Three-Component Ground Clutter Spectrum | 278 |
| 7 | Signature Adapted Processing | 283 |
| 7.1 | Summary | 283 |
| 7.1.1 | Radar Target Recognition | 284 |
| 7.1.2 | Tracking of Extended Targets | 286 |
| 7.1.3 | Detection in Clutter | 286 |
| 7.1.4 | Low-Frequency Radars | 288 |
| 7.1.5 | Wideband Radars | 288 |
| 7.1.6 | Passive Systems | 289 |
| 7.1.7 | Objectives | 289 |
| 7.2 | Radar Target Recognition | 290 |
| 7.2.1 | Approaches | 290 |
| 7.2.2 | Radar Imaging of Moving Targets: Inverse Synthetic Aperture Radar | 290 |
| 7.2.3 | Automatic Classification of Targets | 292 |
| 7.3 | Extended Target Tracking | 306 |
| 7.3.1 | The Glint Phenomenon | 306 |
| 7.3.2 | Glint Modeling | 315 |
| 7.3.3 | Antiglint Processing | 317 |
| 7.4 | Target Extraction from Clutter | 319 |
| 7.4.1 | Use of Frequency Agility After Detection | 320 |
| 7.4.2 | Use of Polarimetry | 323 |
| 7.4.3 | Ambiguous Airborne Radars | 330 |
| 7.4.4 | Airborne Detection of Slow Moving Targets | 337 |
| 7.5 | Low-Frequency Radars | 347 |
| 7.5.1 | Scope | 347 |
| 7.5.2 | Targets | 347 |
| 7.5.3 | Propagation | 353 |
| 7.5.4 | Clutter and Interference | 358 |
| 7.5.5 | Target Recognition | 359 |
| 7.5.6 | System Aspects | 362 |
| 7.6 | Wideband Radars | 365 |
| 7.6.1 | Wideband and Ultra-Wideband Radars | 366 |
| 7.6.2 | Wideband Radar Processing | 368 |
| 7.7 | Periodic Signal Passive Listening | 371 |
| References | 375 |
| Appendix 7A | Variance of a Rayleigh Variable at the Output of a Logarithmic Amplifier | 377 |
| Appendix 7B | Probability Density of the Instantaneous Frequency of a Gaussian Random Process | 378 |
| About the Author | 381 |
| Index | 383 |