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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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