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Volumn 54, Issue 11, 2006, Pages 4091-4104

The Gaussian mixture probability hypothesis density filter

Author keywords

Intensity function; Multiple target tracking; Optimal filtering; Point processes; Random sets

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; KALMAN FILTERING; MATHEMATICAL MODELS; PROBABILITY; SET THEORY; TRACKING (POSITION);

EID: 33747343251     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2006.881190     Document Type: Article
Times cited : (1992)

References (50)
  • 3
    • 0036475725 scopus 로고    scopus 로고
    • "Sequential Monte Carlo methods for multiple target tracking and data fusion"
    • C. Hue, J. P. Lecadre, and P. Perez, "Sequential Monte Carlo methods for multiple target tracking and data fusion," IEEE Trans. Trans. Signal Process., vol. 50, no. 2, pp. 309-325, 2002.
    • (2002) IEEE Trans. Trans. Signal Process , vol.50 , Issue.2 , pp. 309-325
    • Hue, C.1    Lecadre, J.P.2    Perez, P.3
  • 4
    • 0036662623 scopus 로고    scopus 로고
    • "Tracking multiple objects with particle filtering"
    • C. Hue, J. P. Lecadre, and P. Perez, "Tracking multiple objects with particle filtering," IEEE Trans. Aerosp. Electron. Syst., vol. 38, no. 3, pp. 791-812, 2002.
    • (2002) IEEE Trans. Aerosp. Electron. Syst. , vol.38 , Issue.3 , pp. 791-812
    • Hue, C.1    Lecadre, J.P.2    Perez, P.3
  • 5
    • 1642401353 scopus 로고    scopus 로고
    • "Multi-target Bayes filtering via first-order multi-target moments"
    • R. Mahler, "Multi-target Bayes filtering via first-order multi-target moments," IEEE Trans. Aerosp. Electron. Syst., vol. 39, no. 4, pp. 1152-1178, 2003.
    • (2003) IEEE Trans. Aerosp. Electron. Syst. , vol.39 , Issue.4 , pp. 1152-1178
    • Mahler, R.1
  • 6
    • 0018689571 scopus 로고
    • "An algorithm for tracking multiple targets"
    • D. Reid, "An algorithm for tracking multiple targets," IEEE Trans. Autom. Control, vol. AC-24, no. 6, pp. 843-854, 1979.
    • (1979) IEEE Trans. Autom. Control , vol.AC-24 , Issue.6 , pp. 843-854
    • Reid, D.1
  • 7
    • 1442313954 scopus 로고    scopus 로고
    • "Multiple hypothesis tracking for multiple target tracking"
    • S. Blackman, "Multiple hypothesis tracking for multiple target tracking," IEEE Aerosp. Electron. Syst. Mag., vol. 19, no. 1, pt. 2, pp. 5-18, 2004.
    • (2004) IEEE Aerosp. Electron. Syst. Mag. , vol.19 , Issue.1 PART 2 , pp. 5-18
    • Blackman, S.1
  • 8
    • 0020782180 scopus 로고
    • "Sonar tracking of multiple targets using joint probabilistic data association"
    • Jul
    • T. E. Fortmann, Y. Bar-Shalom, and M. Scheffe, "Sonar tracking of multiple targets using joint probabilistic data association," IEEE J. Ocean. Eng., vol. OE-8, pp. 173-184, Jul. 1983.
    • (1983) IEEE J. Ocean. Eng. , vol.OE-8 , pp. 173-184
    • Fortmann, T.E.1    Bar-Shalom, Y.2    Scheffe, M.3
  • 9
    • 84991640025 scopus 로고
    • "Maximum likelihood method for probabilistic multi-hypothesis tracking"
    • R. L. Streit and T. E. Luginbuhl, "Maximum likelihood method for probabilistic multi-hypothesis tracking," in Proc. SPIE, 1994, vol. 2235, pp. 5-7.
    • (1994) Proc. SPIE , vol.2235 , pp. 5-7
    • Streit, R.L.1    Luginbuhl, T.E.2
  • 10
    • 0026835810 scopus 로고
    • "Multiple target tracking based on symmetric measurement equations"
    • E. W. Kamen, "Multiple target tracking based on symmetric measurement equations," IEEE Trans. Autom. Control, vol. AC-37, pp. 371-374, 1992.
    • (1992) IEEE Trans. Autom. Control , vol.AC-37 , pp. 371-374
    • Kamen, E.W.1
  • 12
    • 0010558666 scopus 로고    scopus 로고
    • "Random sets in information fusion: An overview"
    • in J. Goutsias, Ed. Berlin, Germany: Springer-Verlag
    • R. Mahler, "Random sets in information fusion: An overview," in Random Sets: Theory and Applications, J. Goutsias, Ed. Berlin, Germany: Springer-Verlag, 1997, pp. 129-164.
    • (1997) Random Sets: Theory and Applications , pp. 129-164
    • Mahler, R.1
  • 13
    • 0002465335 scopus 로고    scopus 로고
    • "Multi-target moments and their application to multi-target tracking"
    • in Monterey, CA, A tribute to Yaakov Bar-Shalom
    • R. Mahler, "Multi-target moments and their application to multi-target tracking," in Proc. Workshop Estimation, Tracking Fusion, Monterey, CA, 2001, A tribute to Yaakov Bar-Shalom, pp. 134-166.
    • (2001) Proc. Workshop Estimation, Tracking Fusion , pp. 134-166
    • Mahler, R.1
  • 14
    • 77956536967 scopus 로고    scopus 로고
    • "Random set theory for target tracking and identification"
    • in D. Hall and J. Llinas, Eds. Boca Raton, FL: CRC Press
    • R. Mahler, "Random set theory for target tracking and identification," in Data Fusion Hand Book, D. Hall and J. Llinas, Eds. Boca Raton, FL: CRC Press, 2001, pp. 14/1-14/33.
    • (2001) Data Fusion Hand Book
    • Mahler, R.1
  • 15
    • 0003772893 scopus 로고    scopus 로고
    • "An introduction to multisource-multitarget statistics and applications"
    • R. Mahler, "An introduction to multisource-multitarget statistics and applications," in Lockheed Martin Technical Monograph, 2000.
    • (2000) Lockheed Martin Technical Monograph
    • Mahler, R.1
  • 16
    • 6344245353 scopus 로고    scopus 로고
    • "Sequential Monte Carlo implementation of the PHD filter for multi-target tracking"
    • in Cairns, Australia
    • B. Vo, S. Singh, and A. Doucet, "Sequential Monte Carlo implementation of the PHD filter for multi-target tracking," in Proc. Int. Conf. Inf. Fusion, Cairns, Australia, 2003, pp. 792-799.
    • (2003) Proc. Int. Conf. Inf. Fusion , pp. 792-799
    • Vo, B.1    Singh, S.2    Doucet, A.3
  • 17
    • 27544460134 scopus 로고    scopus 로고
    • "Sequential Monte Carlo methods for multi-target filtering with random finite sets"
    • B. Vo, S. Singh, and A. Doucet, "Sequential Monte Carlo methods for multi-target filtering with random finite sets," IEEE Trans. Aerosp. Electron. Syst., vol. 41, no. 4, pp. 1224-1245, 2005.
    • (2005) IEEE Trans. Aerosp. Electron. Syst. , vol.41 , Issue.4 , pp. 1224-1245
    • Vo, B.1    Singh, S.2    Doucet, A.3
  • 18
    • 0002474743 scopus 로고    scopus 로고
    • "A theoretical foundation for the Stein-Winter probability hypothesis density (PHD) multi-target tracking approach"
    • in San Antonio, TX
    • R. Mahler, "A theoretical foundation for the Stein-Winter probability hypothesis density (PHD) multi-target tracking approach," in Proc. 2002 MSS Nat. Symp. Sensor Data Fusion, San Antonio, TX, 2000, vol. 1.
    • (2000) Proc. 2002 MSS Nat. Symp. Sensor Data Fusion , pp. 1
    • Mahler, R.1
  • 19
    • 33750390953 scopus 로고    scopus 로고
    • "Tracking an unknown time-varying number of speakers using TDOA measurements: A random finite set approach"
    • Sep
    • W.-K. Ma, B. Vo, S. Singh, and A. Baddeley, "Tracking an unknown time-varying number of speakers using TDOA measurements: A random finite set approach," IEEE Trans. Signal Process., vol. 54, no. 9, pp. 3291-3304, Sep. 2006.
    • (2006) IEEE Trans. Signal Process , vol.54 , Issue.9 , pp. 3291-3304
    • Ma, W.-K.1    Vo, B.2    Singh, S.3    Baddeley, A.4
  • 21
    • 1642275518 scopus 로고    scopus 로고
    • "Multi-target particle filtering for the probability hypothesis density"
    • in Cairns, Australia
    • H. Sidenbladh, "Multi-target particle filtering for the probability hypothesis density," in Proc. Int. Conf. Information Fusion, Cairns, Australia, 2003, pp. 800-806.
    • (2003) Proc. Int. Conf. Information Fusion , pp. 800-806
    • Sidenbladh, H.1
  • 22
  • 23
    • 27544500834 scopus 로고    scopus 로고
    • "Random Sets for Multitarget Tracking and Data Association"
    • Licentiate, Dept. Inf. Tech. Inst. Math., Tampere Univ. Technology, Tampere, Finland
    • M. Vihola, "Random Sets for Multitarget Tracking and Data Association," Licentiate, Dept. Inf. Tech. Inst. Math., Tampere Univ. Technology, Tampere, Finland, 2004.
    • (2004)
    • Vihola, M.1
  • 24
    • 33747053988 scopus 로고    scopus 로고
    • "Convergence of the sequential Monte Carlo implementation of the PHD filter"
    • A. Johansen, S. Singh, A. Doucet, and B. Vo, "Convergence of the sequential Monte Carlo implementation of the PHD filter," Method. Comput. Appl. Probab., vol. 8, no. 2, pp. 265-291, 2006.
    • (2006) Method. Comput. Appl. Probab. , vol.8 , Issue.2 , pp. 265-291
    • Johansen, A.1    Singh, S.2    Doucet, A.3    Vo, B.4
  • 25
    • 33745684755 scopus 로고    scopus 로고
    • "Convergence results for the particle-PHD filter"
    • Jul
    • D. Clark and J. Bell, "Convergence results for the particle-PHD filter," IEEE Trans. Signal Process., vol. 54, no. 7, pp. 2652-2661, Jul. 2006.
    • (2006) IEEE Trans. Signal Process. , vol.54 , Issue.7 , pp. 2652-2661
    • Clark, D.1    Bell, J.2
  • 26
    • 8844281651 scopus 로고    scopus 로고
    • "Probability hypothesis density filter versus multiple hypothesis tracking"
    • K. Panta, B. Vo, S. Singh, and A. Doucet, I. Kadar, Ed., in
    • K. Panta, B. Vo, S. Singh, and A. Doucet, I. Kadar, Ed., "Probability hypothesis density filter versus multiple hypothesis tracking," in Proc. SPIE Signal Process. Sensor Fusion, Target Recognit. XIII, 2004, vol. 5429, pp. 284-295.
    • (2004) Proc. SPIE Signal Process. Sensor Fusion, Target Recognit. XIII , vol.5429 , pp. 284-295
  • 27
    • 8844248695 scopus 로고    scopus 로고
    • "Data association combined with the probability hypothesis density filter for multitarget tracking"
    • L. Lin, Y. Bar-Shalom, and T. Kirubarajan, O. E. Drummond, Ed., in
    • L. Lin, Y. Bar-Shalom, and T. Kirubarajan, O. E. Drummond, Ed., "Data association combined with the probability hypothesis density filter for multitarget tracking," in Proc. SPIE Signal Data Process. Small Targets, 2004, vol. 5428, pp. 464-475.
    • (2004) Proc. SPIE Signal Data Process. Small Targets , vol.5428 , pp. 464-475
  • 28
    • 8844282733 scopus 로고    scopus 로고
    • "A multiple model probability hypothesis density filter for tracking maneuvering targets"
    • K. Punithakumar, T. Kirubarajan, and A. Sinha, O. E. Drummond, Ed., in
    • K. Punithakumar, T. Kirubarajan, and A. Sinha, O. E. Drummond, Ed., "A multiple model probability hypothesis density filter for tracking maneuvering targets," in Proc. SPIE Signal Data Process. Small Targets, 2004, vol. 5428, pp. 113-121.
    • (2004) Proc. SPIE Signal Data Process. Small Targets , vol.5428 , pp. 113-121
  • 29
    • 8844261968 scopus 로고    scopus 로고
    • "A particle filter algorithm for the multitarget probability hypothesis density"
    • P. Shoenfeld, I. Kadar, Ed., in
    • P. Shoenfeld, I. Kadar, Ed., "A particle filter algorithm for the multitarget probability hypothesis density," in Proc. SPIE Signal Processing, Sensor Fusion, Target Recognit. XIII, 2004, vol. 5429, pp. 315-325.
    • (2004) Proc. SPIE Signal Processing, Sensor Fusion, Target Recognit. XIII , vol.5429 , pp. 315-325
  • 30
    • 22544480339 scopus 로고    scopus 로고
    • "Probability hypothesis density-based multitarget tracking with bistatic range and Doppler observations"
    • M. Tobias and A. D. Lanterman, "Probability hypothesis density-based multitarget tracking with bistatic range and Doppler observations," Proc. Inst. Elect. Eng. Radar Sonar Navig., vol. 152, no. 3, pp. 195-205, 2005.
    • (2005) Proc. Inst. Elect. Eng. Radar Sonar Navig. , vol.152 , Issue.3 , pp. 195-205
    • Tobias, M.1    Lanterman, A.D.2
  • 31
    • 27144462075 scopus 로고    scopus 로고
    • "Bayesian multiple target tracking in forward scan sonar images using the PHD filter"
    • D. Clark and J. Bell, "Bayesian multiple target tracking in forward scan sonar images using the PHD filter," Proc. Inst. Elect. Eng. Radar Sonar Navig., vol. 152, no. 5, pp. 327-334, 2005.
    • (2005) Proc. Inst. Elect. Eng. Radar Sonar Navig. , vol.152 , Issue.5 , pp. 327-334
    • Clark, D.1    Bell, J.2
  • 32
    • 0000007140 scopus 로고
    • "Recursive Bayesian estimation using Gaussian sum"
    • H. W. Sorenson and D. L. Alspach, "Recursive Bayesian estimation using Gaussian sum," Automatica, vol. 7, pp. 465-479, 1971.
    • (1971) Automatica , vol.7 , pp. 465-479
    • Sorenson, H.W.1    Alspach, D.L.2
  • 33
    • 0015385037 scopus 로고
    • "Nonlinear Bayesian estimation using Gaussian sum approximations"
    • D. L. Alspach and H. W. Sorenson, "Nonlinear Bayesian estimation using Gaussian sum approximations," IEEE Trans. Autom. Control, vol. AC-17, no. 4, pp. 439-448, 1972.
    • (1972) IEEE Trans. Autom. Control , vol.AC-17 , Issue.4 , pp. 439-448
    • Alspach, D.L.1    Sorenson, H.W.2
  • 34
    • 33847128509 scopus 로고    scopus 로고
    • "A closed-form solution to the probability hypothesis density filter"
    • in Philadelphia, PA
    • B. Vo and W.-K. Ma, "A closed-form solution to the probability hypothesis density filter," in Proc. Int. Conf. Information Fusion, Philadelphia, PA, 2005.
    • (2005) Proc. Int. Conf. Information Fusion
    • Vo, B.1    Ma, W.-K.2
  • 37
    • 33750414652 scopus 로고    scopus 로고
    • "Technical aspects of the probability hypothesis density recursion"
    • EEE Dept., Univ. of Melbourne Australia, 2005, Tech. Rep. TR05-006
    • B. Vo and S. Singh, "Technical aspects of the probability hypothesis density recursion," EEE Dept., Univ. of Melbourne, Australia, 2005, Tech. Rep. TR05-006.
    • Vo, B.1    Singh, S.2
  • 38
    • 0022723742 scopus 로고
    • "Tracking and identifying multiple targets without apriori identifications"
    • S. Mori, C. Chong, E. Tse, and R. Wishner, "Tracking and identifying multiple targets without apriori identifications," IEEE Trans. Autom. Control, vol. AC-21, pp. 401-409, 1986.
    • (1986) IEEE Trans. Autom. Control , vol.AC-21 , pp. 401-409
    • Mori, S.1    Chong, C.2    Tse, E.3    Wishner, R.4
  • 39
    • 0023537449 scopus 로고
    • "A random point process approach to multi-object tracking"
    • R. Washburn, "A random point process approach to multi-object tracking," in Proc. Amer. Contr. Conf., 1987, vol. 3, pp. 1846-1852.
    • (1987) Proc. Amer. Contr. Conf. , vol.3 , pp. 1846-1852
    • Washburn, R.1
  • 40
    • 0000917410 scopus 로고    scopus 로고
    • "On optimal filtering of multitarget systems based on point process observations"
    • N. Portenko, H. Salehi, and A. Skorokhod, "On optimal filtering of multitarget systems based on point process observations," Random Oper. Stochastic Equations, vol. 5, no. 1, pp. 1-34, 1997.
    • (1997) Random Oper. Stochastic Equations , vol.5 , Issue.1 , pp. 1-34
    • Portenko, N.1    Salehi, H.2    Skorokhod, A.3
  • 41
    • 29844434499 scopus 로고
    • "An adaptive theory of probabilistic evidence accrual"
    • Los Alamos National Laboratories Rep. LA-UR-93-3336
    • M. C. Stein and C. L. Winter, "An adaptive theory of probabilistic evidence accrual," Los Alamos National Laboratories Rep., 1993, LA-UR-93-3336.
    • (1993)
    • Stein, M.C.1    Winter, C.L.2
  • 42
    • 0015399967 scopus 로고
    • "Finite-dimensional sensor orbits and optimal non-linear filtering"
    • J. T.-H. Lo, "Finite-dimensional sensor orbits and optimal non-linear filtering," IEEE Trans. Inf. Theory, vol. IT-18, no. 5, pp. 583-588, 1972.
    • (1972) IEEE Trans. Inf. Theory , vol.IT-18 , Issue.5 , pp. 583-588
    • Lo, J.T.-H.1
  • 43
    • 84916593381 scopus 로고
    • "A Bayesian approach to problems in stochastic estimation and control"
    • Y. C. Ho and R. C. K. Lee, "A Bayesian approach to problems in stochastic estimation and control," IEEE Trans. Autom. Control, vol. AC-9, pp. 333-339, 1964.
    • (1964) IEEE Trans. Autom. Control , vol.AC-9 , pp. 333-339
    • Ho, Y.C.1    Lee, R.C.K.2
  • 49
    • 21244437999 scopus 로고    scopus 로고
    • "Unscented filtering and nonlinear estimation"
    • S. J. Julier and J. K. Uhlmann, "Unscented filtering and nonlinear estimation," Proc. IEEE, vol. 92, pp. 401-422, 2004.
    • (2004) Proc. IEEE , vol.92 , pp. 401-422
    • Julier, S.J.1    Uhlmann, J.K.2
  • 50
    • 1642354326 scopus 로고    scopus 로고
    • "Survey of maneuvering target tracking"
    • X.-R. Li and V. Jilkov, "Survey of maneuvering target tracking," IEEE Trans. Aerosp. Electron. Syst., vol. 39, no. 4, pp. 1333-1364, 2003.
    • (2003) IEEE Trans. Aerosp. Electron. Syst. , vol.39 , Issue.4 , pp. 1333-1364
    • Li, X.-R.1    Jilkov, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.