Principles of Modern Radar - Volume 2 1891121537

698 CHAPTER 15 Multitarget, Multisensor Tracking[29] Mahler, R., “PHD Filters of Higher Order in Target Number,” IEEE Transactions on Aerospaceand Electronic Systems, vol. 43, pp. 1523–1543, 2007.[30] Mallick, M., and La Scala, B., “IMM for Multisensor Ground Target Tracking with VariableMeasurement Sampling Intervals,” in Proceedings of the 2006 International Conference onInformation Fusion, 2006.[31] Mazor, E., Averbuch, A., Bar-Shalom, Y., and Dayan, J., “Interacting Multiple Model Methodsin Target Tracking: A Survey,” IEEE Transactions on Aerospace and Electronic Systems,vol. 34, pp. 103–123, 1998.[32] Moon, T., and Stirling, W., “The Kalman Filter,” Chapter 13 in Mathematical Methods andAlgorithms for Signal Processing, Prentice Hall, 2000.[33] Mori, S., et. al., “Tracking Performance Evaluation-Prediction of Track Purity,” in Signal andData Processing of Small Targets SPIE vol. 1089, 1989.[34] Papoulis, A., Probability, Random Variables, and Stochastic Processes, McGraw-Hill, 2002.[35] Poore, A., and Yan, X., “Use of K-Near Optimal Solutions to Improve Data Association inMulti-Frame Processing,” in Proceedings of SPIE, vol. 3809, 1999.[36] Poore, A., Robertson, A.J., and Shea, P., “A New Class of Lagrangian-Relaxation-BasedAlgorithms for Fast Data Association in Multiple Hypothesis Tracking Applications,” inProceedings of SPIE, vol., 2484, 1995.[37] Poore, A., Rijavec, N., Liggins, M., and Vannicola, V., “Data Association Problems Posedas Multidimensional Assignment Problems: Problem Formulation,” in Proceedings of SPIE,vol, 1954, 1993.[38] Reid, D., “An Algorithm for Tracking Multiple Targets,” IEEE Transactions on AutomaticControl, vol. 24, pp. 843–854, 1979.[39] Ristic, B., Arulampalam, S., and Gordon, N., Beyond the Kalman Filter: Particle Filters forTracking Applications, Artech House, 2004.[40] Rothrock, R., and Drummond, O., “Performance Metrics for Multiple-Sensor Multiple-TargetTracking,” in Signal and Data Processing of Small Targets SPIE vol. 4048, 1999.[41] Ruan, Y., and Hong, L., “Feature-Aided Tracking with GMTI and HRR Measurements viaMixture Density Estimation,” IEE Proceedings on Control Theory and Applications, vol. 153,pp. 342–356.[42] Sittler, R., “An Optimal Data Association Problem in Surveillance Theory,” IEEE Transactionson Military Electronics, vol. 8, pp. 125–139, 1964.[43] Waxman, M., and Drummond, O., “A Bibliography of Cluster (Group) Tracking,” in Signaland Data Processing of Small Targets SPIE vol. 5428, 2004.15.7 PROBLEMS1. Plot the covariance ellipses for the following (notional) 2-D covariance matrices. Dothe off-diagonal terms affect the results? Why or why not?[ ] 9 0a.0 16[ ] 9 10b.12 16