| |
| Preface | p. xi |
| Introduction | p. xiii |
| Design of a Tracking Algorithm for an Advanced ATC System | p. 1 |
| Introduction | p. 1 |
| The Hadamard Project | p. 1 |
| Characteristics of the New ATC System | p. 2 |
| Tracking Accuracy Requirements | p. 3 |
| Aircraft Motion Modeling | p. 5 |
| Modeling Influence on Estimation Quality | p. 5 |
| Aircraft Maneuver Modeling | p. 7 |
| Tracking Algorithm | p. 10 |
| Multiple Model Formulation of Aircraft Trajectory | p. 10 |
| The Interacting Multiple Model Algorithm | p. 14 |
| Evaluation of the IMM for Air Traffic Simulations | p. 16 |
| Algorithms Based on Exact Maneuver Modeling | p. 17 |
| Algorithms Based on Approximate Maneuver Modeling | p. 21 |
| Algorithm Selection for Hadamard Tracking System | p. 26 |
| Conclusion | p. 28 |
| References | p. 28 |
| Design of a Multisensor Tracking System for Advanced Air Traffic Control | p. 31 |
| Introduction | p. 31 |
| Multisensor Tracking Modules | p. 32 |
| Coordinate Transformation | p. 33 |
| Track Maintenance (Continuation) | p. 33 |
| Track Deletion | p. 33 |
| Measurement Memorization | p. 34 |
| Track Formation (Initiation) | p. 34 |
| Track Merging | p. 34 |
| Systematic Error Estimation | p. 34 |
| Aircraft Track Selection | p. 35 |
| Synchronization | p. 35 |
| Bayesian Track Continuation | p. 35 |
| Systematic Error Estimation | p. 38 |
| Evaluation of the Tracking Performance | p. 41 |
| Summary and Conclusions | p. 48 |
| Jumpdif Track Maintenance Equations in the Horizontal Direction | p. 48 |
| Interaction Step of Generalized IMM | p. 49 |
| EKF Time Extrapolation Equations | p. 51 |
| PDA-Based Measurement Update Equations | p. 53 |
| Output Calculations | p. 56 |
| Joint Tracking and Sensors' Systematic Error Estimation | p. 56 |
| Extended Kalman Filter | p. 58 |
| The Single-Sensor Situation | p. 59 |
| The Multisensor Situation | p. 59 |
| Systematic Error Estimation After Convergence | p. 60 |
| References | p. 62 |
| Passive Sensor Data Fusion and Maneuvering Target Tracking | p. 65 |
| Introduction | p. 65 |
| The Application: Passive Sensor Data Fusion | p. 66 |
| A Hybrid Model Based Algorithm: The IMMPDA Filter | p. 69 |
| Hybrid Systems | p. 69 |
| Hybrid Filters | p. 70 |
| Target Motion Models | p. 75 |
| First Set of Models | p. 75 |
| Second Set of Models | p. 76 |
| Third Set of Models | p. 78 |
| Simulation Results | p. 79 |
| Parameter Values | p. 81 |
| Single Model Reference | p. 82 |
| Peformance Analysis | p. 82 |
| Summary and Conclusion | p. 91 |
| References | p. 91 |
| Tracking Splitting Targets in Clutter by Using an Interacting Multiple Model Joint Probabilistic Data Association Filter | p. 93 |
| Introduction | p. 93 |
| The Approach | p. 94 |
| The Models for the Splitting and Their State Estimation | p. 96 |
| The Transitions Between the Models | p. 96 |
| The "Just Split" Model | p. 97 |
| The "Split" Model | p. 99 |
| The Interaction Between the Models | p. 102 |
| Simulation Results | p. 103 |
| Conclusion | p. 110 |
| References | p. 110 |
| Precision Tracking of Small Extended Targets with Imaging Sensors | p. 111 |
| Introduction | p. 111 |
| Extraction of Measurements from an Imaging Sensor | p. 113 |
| Modeling the Image | p. 114 |
| Estimation of the Centroid | p. 115 |
| The Offset Measurement from Image Correlation | p. 117 |
| Application to a Gaussian Plume Target | p. 118 |
| Precision Target Tracking of the Image Centroid | p. 120 |
| Filter with White Measurement Noise Model | p. 121 |
| Filter with Autocorrelated Noise Model | p. 122 |
| Simulation Results | p. 124 |
| Tracking Crossing Targets with FLIR Sensors | p. 125 |
| Background | p. 125 |
| Problem Formulation | p. 126 |
| The State Estimation | p. 130 |
| Simulation Results for Crossing Targets | p. 137 |
| Derivations for the Centroid Estimate | p. 140 |
| The Offset Measurement from Image Correlation | p. 143 |
| Evaluation of the "Image-Mixing" Parameter | p. 146 |
| References | p. 147 |
| A System Approach to Multiple Target Tracking | p. 149 |
| Introduction | p. 149 |
| Measurement Pattern Optimization | p. 152 |
| Waveform Optimization | p. 160 |
| Resolution | p. 165 |
| Fundamental Limits in Multiple Target Tracking | p. 173 |
| Probabilities of Resolution and Data Association | p. 179 |
| References | p. 180 |
| Performance Analysis of Optimal Data Association with Applications to Multiple Target Tracking | p. 183 |
| Introduction | p. 183 |
| Problem Statement | p. 187 |
| Probability of Correct Association | p. 190 |
| Effects of Misassociation | p. 194 |
| Effects of Extraneous Objects | p. 213 |
| Application to Multitarget Tracking | p. 218 |
| Conclusions | p. 227 |
| Some Spherical Integrals | p. 228 |
| Conditional Gaussian Distributions | p. 230 |
| References | p. 233 |
| Mutitarget Tracking with an Agile Beam Radar | p. 237 |
| Introduction | p. 237 |
| Performance Prediction | p. 238 |
| Analytic Methods for Predicting Track Accuracy | p. 239 |
| Analytic Methods for Predicting Correlation (Association) Performance | p. 240 |
| Monte Carlo Simulation | p. 241 |
| Detection: Observation Generation and Processing | p. 242 |
| Enhancing Detection and Measurement Peformance | p. 242 |
| Reducing the Effects of Jet Engine Modulation | p. 243 |
| Radar Resource Allocation | p. 244 |
| Choice of Optimal TOT | p. 245 |
| Global Allocation Strategy | p. 249 |
| Determining Task Figures of Merit | p. 250 |
| Utility Theory Allocation | p. 251 |
| Expert System Allocation | p. 254 |
| Other Allocation Issues | p. 257 |
| Typical Allocation Example | p. 258 |
| Filtering and Prediction | p. 260 |
| Choice of Tracking Coordinates and States | p. 260 |
| Target Maneuver Modeling and Detection | p. 261 |
| Modified Spherical Coordinates | p. 261 |
| Data Association | p. 262 |
| Conventional Data Association | p. 262 |
| Multiple Hypothesis Tracking | p. 263 |
| Joint Probabilistic Data Association | p. 264 |
| Group Tracking | p. 264 |
| Other Implementation Issues | p. 265 |
| Other Future System Issues | p. 265 |
| Track Confirmation for Low-Observable Targets | p. 265 |
| Radar as Part of Multiple Sensor System | p. 266 |
| Conclusion | p. 267 |
| References | p. 267 |
| Autonomous Navigation with Uncertain Reference Points Using the PDAF | p. 271 |
| Introduction | p. 271 |
| Autonomous Navigation Without Landmark Recognition | p. 272 |
| Discrete-Time State and Observation Models | p. 272 |
| Notation | p. 276 |
| Measurement Validation Test | p. 277 |
| Formulation of the Autonomous Navigation Filter | p. 278 |
| Autonomous Navigation with landmark Recognition | p. 282 |
| Inclusion of Bayesian Recognition Information | p. 282 |
| Use of Uncertain Recognition Information | p. 286 |
| Inclusion of a Detected Landmark Identity Classification | p. 302 |
| Simulation Results | p. 314 |
| Summary and Conclusions | p. 317 |
| Calculation of the Association Probabilities for a Filter Using a Classifier | p. 319 |
| References | p. 323 |
| The Sensor Management Imperative | p. 325 |
| Introduction | p. 325 |
| Establishing the Sensor Management Imperative | p. 327 |
| General Discussion | p. 328 |
| Effective Use of Limited System Resources | p. 330 |
| Track Maintenance | p. 332 |
| Sensor Fusion and Synergism | p. 333 |
| Situation Assessment | p. 334 |
| Support of Specific Goals | p. 335 |
| Adaptive Behavior in Varying Sensing Environments | p. 336 |
| Summary | p. 336 |
| Sensor Management Approaches | p. 336 |
| Architectures for Sensor Management | p. 337 |
| The Macro-Micro Architecture | p. 337 |
| Scheduling Techniques | p. 343 |
| Decision-Making Techniques | p. 347 |
| Demonstrations of Sensor Management | p. 363 |
| Demonstration 1 | p. 365 |
| Demonstration 2 | p. 372 |
| Demonstration 3 | p. 376 |
| Demonstration 4 | p. 378 |
| Demonstration 5 | p. 385 |
| Conclusion | p. 389 |
| References | p. 391 |
| Attribute Fusion and Situation Assessment with a Many-Valued Logic Approach | p. 393 |
| Introduction | p. 393 |
| Aggregation Operators | p. 395 |
| Conjunction and Propagation Using Triangular Norms | p. 395 |
| Disjunction Using Triangular Conorms | p. 396 |
| Relationships Between T-Norms and T-Conorms | p. 397 |
| Negation Operators and Calculi of Uncertainty | p. 398 |
| Families of T-Norms and T-Conorms | p. 400 |
| Linguistic Variables Defined on the Interval [0, 1] | p. 402 |
| Example of a Term Set of Linguistic Probabilities | p. 403 |
| Description of the Experiments and Required Techniques | p. 404 |
| The First Experiment | p. 404 |
| The Second Experiment | p. 407 |
| Computational Techniques | p. 408 |
| Conclusions on the Theory Section | p. 411 |
| Summary of the Results | p. 411 |
| Impact of the Results on Expert System Technology | p. 412 |
| Reasoning with Uncertainty--RUM and RUMrunner | p. 413 |
| Introduction | p. 413 |
| Applications of the RUM Technology | p. 415 |
| Tactical and Surveillance Platform Applications | p. 416 |
| The Airborne Fighter Problem | p. 416 |
| The Surveillance Mission Problem | p. 419 |
| Summary and Conclusions | p. 419 |
| Properties of T-Norm Operators | p. 429 |
| References | p. 432 |
| Index | p. 435 |
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