An overview of sequential bayesian filtering in ocean acoustics

IEEE Journal of Oceanic Engineering

Volumn 36, Issue 1, 2011, Pages 71-89

  Yardim, Caglar ^a   Michalopoulou, Zoi Heleni ^b   Gerstoft, Peter ^a  

^a UNIVERSITY OF CALIFORNIA SAN DIEGO   (United States)

^b NEW JERSEY INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Acoustic signal processing; acoustic tracking; ensemble Kalman filter; extended Kalman filter (EKF); ocean acoustics; particle filter (PF); sequential importance resampling SIR); sequential Monte Carlo methods; unscented Kalman filter (UKF)

Indexed keywords

ACOUSTIC SIGNAL PROCESSING; EXTENDED KALMAN FILTERS; FREQUENCY ESTIMATION; MONTE CARLO METHODS;

ACOUSTIC TRACKING; ENSEMBLE KALMAN FILTER; IMPORTANCE RE SAMPLINGS; OCEAN ACOUSTICS; PARTICLE FILTER; SEQUENTIAL MONTE CARLO METHODS; UNSCENTED KALMAN FILTER;

ACOUSTIC MEASURING INSTRUMENTS;

EID: 79952992262     PISSN: 03649059     EISSN: None     Source Type: Journal    
DOI: 10.1109/JOE.2010.2098810     Document Type: Review

References (98)

1. M. J. Hinich, "Maximum-likelihood signal processing for a vertical array," J. Acoust. Soc. Amer., vol. 54, no. 2, pp. 499-503, 1973.
2. H. P. Bucker, "Use of calculated sound fields and matched-field detection to locate sound sources in shallow water," J. Acoust. Soc. Amer., vol. 59, no. 2, pp. 368-373, 1976.
3. A. B. Baggeroer, W. A. Kuperman, and P. N. Mikhalevsky, "An overview of matched field methods in ocean acoustics," IEEE J. Ocean. Eng., vol. 18, no. 4, pp. 401-424, Oct. 1993.
4. A. Tolstoy, Matched Field Processing for Underwater Acoustics. Singapore: World Scientific, 1993.
5. S. D. Rajan, J. F. Lynch, and G. V. Frisk, "Perturbative inversion methods for obtaining bottom geoacoustic parameters in shallow water," J. Acoust. Soc. Amer., vol. 82, no. 3, pp. 998-1017, 1987.
6. M. D. Collins,W. A. Kuperman, and H. Schmidt, "Nonlinear inversion for ocean-bottom properties," J. Acoust. Soc. Amer., vol. 92, no. 5, pp. 2770-2783, 1992.
7. M. Siderius, P. L. Nielsen, and P. Gerstoft, "Range-dependent seabed characterization by inversion of acoustic data from a towed receiver array," J. Acoust. Soc. Amer., vol. 112, no. 4, pp. 1523-1535, 2002.
8. N. R. Chapman, S. Chin-Bing, D. King, and R. B. Evans, "Benchmarking geoacoustic inversion methods for range-dependent waveguides," IEEE J. Ocean. Eng., vol. 28, no. 3, pp. 320-330, Jul. 2003.
9. R. A. Koch and D. P. Knobles, "Geoacoustic inversion with ships as sources," J. Acoust. Soc. Amer., vol. 117, no. 2, pp. 626-637, 2005. (Pubitemid 40223423)
10. A. M. Thode, G. L. D'Spain, and W. A. Kuperman, "Matched-field processing, geoacoustic inversion, and source signature recovery of blue whale vocalizations," J. Acoust. Soc. Amer., vol. 107, no. 3, pp. 1286-1300, 2000. (Pubitemid 30141672)
11. A. M. Richardson and L. W. Nolte, "A posteriori probability source localization in an uncertain sound speed, deep ocean environment," J. Acoust. Soc. Amer., vol. 89, no. 5, pp. 2280-2284, May 1991.
12. S. L. Tantum and L. W. Nolte, "Tracking and localizing a moving source in an uncertain shallow water environment," J. Acoust. Soc. Amer., vol. 103, no. 1, pp. 362-373, Jan. 1998. (Pubitemid 28042410)
13. P. Gerstoft and C. F. Mecklenbräuker, "Ocean acoustic inversion with estimation of a posteriori probability distributions," J. Acoust. Soc. Amer., vol. 104, no. 2, pp. 808-819, 1998. (Pubitemid 28373166)
14. S. E. Dosso, "Quantifying uncertainty in geoacoustic inversion I. A fast Gibbs sampler approach," J. Acoust. Soc. Amer., vol. 111, no. 1, pp. 129-142, 2002. (Pubitemid 34093309)
15. D. Battle, P. Gerstoft, W. S. Hodgkiss, W. A. Kuperman, and P. L. Nielsen, "Bayesian model selection applied to self-noise geoacoustic inversion," J. Acoust. Soc. Amer., vol. 116, pp. 2043-2056, 2004. (Pubitemid 39391609)
16. R. L. Culver and W. S. Hodgkiss, "Comparison of Kalman and least squares filters for locating autonomous very low frequency acoustic sensors," IEEE J. Ocean. Eng., vol. 13, no. 4, pp. 282-290, Oct. 1988.
17. F. El-Hawary and G. A. N. Mbamalu, "Underwater target tracking via the IRWLS filtering approach," Inst. Electr. Eng. Proc. F-Radar Signal Process., vol. 138, pp. 459-469, 1991.
18. J. V. Candy and E. J. Sullivan, "Ocean acoustic signal processing: A model-based approach," J. Acoust. Soc. Amer., vol. 92, no. 6, pp. 3185-3201, 1992.
19. J. V. Candy and E. J. Sullivan, "Sound velocity profile estimation: A system theoretic approach," IEEE J. Ocean. Eng., vol. 18, no. 3, pp. 240-252, Jul. 1993.
20. J. V. Candy and E. J. Sullivan, "Model-based processor design for a shallow water ocean acoustic experiment," J. Acoust. Soc. Amer., vol. 95, no. 4, pp. 2038-2051, 1994. (Pubitemid 24113039)
21. J. V. Candy and E. J. Sullivan, "Passive localization in ocean acoustics: A model-based approach," J. Acoust. Soc. Amer., vol. 98, no. 3, pp. 1455-1471, 1995.
22. J. V. Candy and E. J. Sullivan, "Model-based identification: An adaptive approach to ocean-acoustic processing," IEEE J. Ocean. Eng., vol. 21, no. 3, pp. 273-289, Jul. 1996. (Pubitemid 126566722)
23. J. V. Candy and E. J. Sullivan, "Broadband model-based processing for shallow ocean environments," J. Acoust. Soc. Amer., vol. 104, no. 1, pp. 275-287, 1998. (Pubitemid 28321716)
24. J. V. Candy and D. H. Chambers, "Model-based dispersive wave processing: A recursive Bayesian solution," J. Acoust. Soc. Amer., vol. 105, no. 6, pp. 3364-3374, 1999. (Pubitemid 29270300)
25. E. J. Sullivan, J. D. Holmes, W. M. Carey, and J. F. Lynch, "Broadband passive synthetic aperture: Experimental results," J. Acoust. Soc. Amer., vol. 120, no. 4, pp. EL49-EL54, 2006. (Pubitemid 44536099)
26. C. He, J. E. Quijano, and L. M. Zurk, "Enhanced Kalman filter algorithm using the invariance principle," IEEE J. Ocean. Eng., vol. 34, no. 4, pp. 575-585, Oct. 2009.
27. O. Carrière, J.-P. Hermand, J.-C. Le Gac, and M. Rixen, "Full-field tomography and Kalman tracking of the range-dependent sound speed field in a coastal water environment," J. Mar. Syst., vol. 78, no. 4, pp. S382-S392, 2009.
28. O. Carrière, J. P. Hermand, M. Meyer, and J. V. Candy, "Dynamic estimation of the sound-speed profile from broadband acoustic measurements," in Proc. OCEANS Conf., 2007, DOI: 10.1109/OCEANSE. 2007.4302430.
29. C. Yardim, P. Gerstoft, and W. S. Hodgkiss, "Tracking of geoacoustic parameters using Kalman and particle filters," J. Acoust. Soc. Amer., vol. 125, no. 2, pp. 746-760, 2009.
30. O. Carrière, J.-P. Hermand, and J. V. Candy, "Inversion for time-evolving sound-speed field in a shallow ocean by ensemble Kalman filtering," IEEE J. Ocean. Eng., vol. 34, no. 4, pp. 586-602, Oct. 2009.
31. I. Zorych and Z.-H. Michalopoulou, "Particle filtering for dispersion curve tracking in ocean acoustics," J. Acoust. Soc. Amer., vol. 124, no. 2, pp. EL45-EL50, 2008.
32. R. Jain and Z.-H. Michalopoulou, "A particle filtering approach for multipath arrival time estimation from acoustic time series," J. Acoust. Soc. Amer., vol. 126, no. 4, pp. 2249-2249, 2009.
33. C. Yardim, P. Gerstoft, and W. S. Hodgkiss, "Geoacoustic and source tracking using particle filtering: Experimental results," J. Acoust. Soc. Amer., vol. 128, no. 1, pp. 75-87, 2010.
34. M. Arulampalam, S. Maskell, N. Gordon, and T. Clapp, "A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking," IEEE Trans. Signal Process., vol. 50, no. 2, pp. 174-188, Feb. 2002. (Pubitemid 34291500)
35. F. Gustafsson, F. Gunnarsson, N. Bergman, U. Forssell, J. Jansson, R. Karlsson, and P. J. Nordlund, "Particle filters for positioning, navigation, and tracking," IEEE Trans. Signal Process., vol. 50, no. 2, pp. 425-437, Feb. 2002. (Pubitemid 34291522)
36. P. M. Djuric, J. H. Kotecha, J. Zhang, Y. Huang, T. Ghirmai, M. F. Bugallo, and J. Miguez, "Particle filtering," IEEE Signal Process. Mag., vol. 20, no. 5, pp. 19-38, Sep. 2003.
37. O. Cappé, S. Godsill, and E. Moulines, "An overview of existing methods and recent advances in sequential Monte Carlo," Proc. IEEE, vol. 95, no. 5, pp. 899-924, May 2007.
38. J. V. Candy, "Bootstrap particle filtering," IEEE Signal Process. Mag., vol. 24, no. 4, pp. 73-85, Jul. 2007. (Pubitemid 47316169)
39. A. Doucet and A. Johansen, "A tutorial on particle filtering and smoothing: Fifteen years later," Dept. Comput. Sci., Univ. British Columbia, Vancouver, BC, Canada, 2008.
40. A. Doucet, N. de Freitas, and N. Gordon, Sequential Monte Carlo Methods in Practice. New York: Springer-Verlag, 2001, ch. 1.
41. B. Ristic, S. Arulampalam, and N. Gordon, Beyond the Kalman Filter: Particle Filters for Tracking Applications. Boston, MA: Artech House, 2004.
42. O. Cappe, E. Moulines, and T. Rydén, Inference in Hidden Markov Models. New York: Springer-Verlag, 2005.
43. J. V. Candy, Bayesian Signal Processing: Classical, Modern and Particle Filtering Methods. New York: Wiley, 2009.
44. C. Yardim, P. Gerstoft, and W. S. Hodgkiss, "Estimation of radio refractivity from radar clutter using Bayesian Monte Carlo analysis," IEEE Trans. Antennas Propag., vol. 54, no. 4, pp. 1318-1327, Apr. 2006.
45. S. M. Kay, Fundamentals of Statistical Signal Processing-Volume I: Estimation Theory. Englewood Cliffs, NJ: Prentice-Hall, 1993.
46. R. E. Kalman, "A new approach to linear filtering and prediction problems," Trans. ASME-J. Basic Eng., vol. 82, no. D, pp. 35-45, 1960.
47. H. L. van Trees, Detection, Estimation and Modulation Theory. New York: Wiley, 1968, vol. 1, pp. 66-74.
48. H. Cox, "On the estimation of state variables and parameters for noisy dynamic systems," IEEE Trans. Autom. Control, vol. AC-9, no. 1, pp. 5-12, Jan. 1964.
49. S. Julier, J. Uhlmann, and H. F. Durrant-White, "A new method for nonlinear transformation of means and covariances in filters and estimators," IEEE Trans. Autom. Control, vol. 45, no. 3, pp. 477-482, Mar. 2000.
50. E. A. Wan and R. van der Merve, "The unscented Kalman filter," in Kalman Filtering and Neural Networks, S. Haykin, Ed. New York: Wiley, 2001, pp. 221-277.
51. J. T. Ambadan and Y. Tang, "Sigma-point Kalman filter data assimilation methods for strongly nonlinear systems," J. Atmos. Sci., vol. 66, no. 2, pp. 261-285, 2009.
52. G. Evensen, "Sequential data assimilation with a nonlinear quasi-geostrophic model using Monte Carlo methods to forecast error statistics," J. Geophys. Res., vol. 99, pp. 101434-10162, 1994.
53. P. L. Houtekamer and H. L. Mitchell, "Ensemble Kalman filtering," Quart. J. R. Meteorol. Soc., vol. 131, no. 613, pp. 3269-3290, 2005.
54. P. J. van Leeuwen, "Particle filtering in geophysical systems," Monthly Weather Rev., vol. 137, pp. 4089-4114, 2009.
55. G. Evensen, "The ensemble Kalman filter: Theoretical formulation and practical implementation," Ocean Dynamics, vol. 53, no. 4, pp. 343-367, 2003.
56. J. J. K. Ó Ruanaidh and W. J. Fitzgerald, Numerical Bayesian Methods Applied to Signal Processing. New York: Springer-Verlag, 1996.
57. N. J. Gordon, D. J. Salmond, and A. F. M. Smith, "Novel approach to nonlinear/non-Gaussian Bayesian state estimation," Inst. Electr. Eng. Proc. F-Radar Signal Process., vol. 140, no. 2, pp. 107-113, 1993.
58. A. F. M. Smith and A. E. Gelfand, "Bayesian statistics without tears: A sampling-resampling perspective," Amer. Statistician, vol. 46, pp. 84-88, 1992.
59. A. Doucet, S. Godsill, and C. Andrieu, "On sequential Monte Carlo sampling methods for Bayesian filtering," Stat. Comput., vol. 10, no. 3, pp. 197-208, 2000.
60. W. R. Gilks and C. Berzuini, "Following a moving target-Monte Carlo inference for dynamic Bayesian models," J. R. Stat. Soc. B, vol. 63, pp. 127-146, 2001. (Pubitemid 33392467)
61. A. Kong, J. S. Liu, and W. H. Wong, "Sequential imputations and Bayesian missing data problems," J. Amer. Stat. Assoc., vol. 89, no. 425, pp. 278-288, 1994.
62. M. Bolic, P. M. Djuric, and S. Hong, "Resampling algorithms for particle filters: A computational complexity perspective," EURASIP J. Appl. Signal Process., vol. 2004, no. 15, pp. 2267-2277, 2004. (Pubitemid 40088500)
63. C. Musso, N. Oudjane, and F. LeGland, "Improving regularised particle filters," in Sequential Monte Carlo Methods in Practice, A. Doucet, N. de Freitas, and N. Gordon, Eds. New York: Springer-Verlag, 2001, pp. 247-269.
64. M. Pitt and N. Shephard, "Filtering via simulation: Auxiliary particle filter," J. Acoust. Soc. Amer., vol. 94, pp. 590-599, 1999.
65. J. S. Liu and R. Chen, "Sequential Monte Carlo methods for dynamic systems," J. Amer. Stat. Assoc., vol. 93, pp. 1032-1044, 1998.
66. R. Van der Merwe, A. Doucet, N. De Freitas, and E. Wan, "The unscented particle filter," Adv. Neural Inf. Process. Syst., vol. 13, pp. 584-590, 2001.
67. P. Gerstoft and D. F. Gingras, "Parameter estimation using multifrequency range-dependent acoustic data in shallow water," J. Acoust. Soc. Amer., vol. 99, no. 5, pp. 2839-2850, 1996. (Pubitemid 26137264)
68. C. F. Mecklenbräuker, P. Gerstoft, J. F. Bohme, and P.-J. Chung, "Hypothesis testing for geoacoustic environmentalmodels using likelihood ratio," J. Acoust. Soc. Amer., vol. 105, no. 3, pp. 1738-1748, 1999.
69. Z.-H. Michalopoulou and M. Picarelli, "Gibbs sampling for time-delay-and amplitude estimation in underwater acoustics," J. Acoust. Soc. Amer., vol. 117, no. 2, pp. 799-808, 2005. (Pubitemid 40223440)
70. J. Dettmer, S. E. Dosso, and C.Holland, "Model selection and Bayesian inference for high-resolution seabed reflection inversion," J. Acoust. Soc. Amer., vol. 125, no. 2, pp. 706-716, 2009.
71. J. Dettmer, C. W. Holland, and S. E. Dosso, "Analyzing lateral seabed variability with Bayesian inference of seabed reflection data," J. Acoust. Soc. Amer., vol. 126, no. 1, pp. 56-69, 2009.
72. Z.-H. Michalopoulou, "Multiple source localization using a maximum a posteriori Gibbs sampling approach," J. Acoust. Soc. Amer., vol. 120, no. 5, pp. 2627-2634, 2006. (Pubitemid 44631699)
73. J. Dettmer, S. E. Dosso, and C. W. Holland, "Trans-dimensional geoacoustic inversion," J. Acoust. Soc. Amer., vol. 128, no. 6, pp. 3393, 3405, Dec. 2010.
74. J. R. Larocque, J. P. Reilly, and W. Ng, "Particle filters for tracking an unknown number of sources," IEEE Trans. Signal Process., vol. 50, no. 12, pp. 2926-2937, Dec. 2002. (Pubitemid 35476620)
75. J. Vermaak, S. J. Godsill, and P. Perez, "Monte Carlo filtering formultitarget tracking and data association," IEEE Trans. Aerosp. Electron. Syst., vol. 41, no. 1, pp. 309-332, Jan. 2005. (Pubitemid 40679236)
76. C. F. Mecklenbräuker and P. Gerstoft, "Objective functions for ocean acoustic inversion derived by likelihood methods," J. Comput. Acoust., vol. 8, pp. 259-270, 2000.
77. C. Yardim, P. Gerstoft, and W. S. Hodgkiss, "Sensitivity analysis and performance estimation of refractivity from clutter techniques," Radio Sci., vol. 44, 2009, DOI: 10.1029/2008RS003897, RS1008.
78. C. Yardim, P. Gerstoft, and W. S. Hodgkiss, "Tracking refractivity from clutter using Kalman and particle filters," IEEE Trans. Antennas Propag., vol. 56, no. 4, pp. 1058-1070, Apr. 2008. (Pubitemid 351586158)
79. D. Crisan and A. Doucet, "A survey of convergence results on particle filtering methods for practitioners," IEEE Trans. Signal Process., vol. 50, no. 3, pp. 736-746, Mar. 2002. (Pubitemid 34295113)
80. T. Bengtsson, P. Bickel, and B. Li, "Curse-of-dimensionality revisited: Collapse of the particle filter in very large scale systems," IMS Collections: Probab. Stat., vol. 2, pp. 316-334, 2008.
81. F. Daum and J. Huang, "Curse of dimensionality and particle filters," in Proc. IEEE Aerosp. Conf., 2003, pp. 41979-41993.
82. R. Karlsson, T. Schon, and F. Gustafsson, "Complexity analysis of the marginalized particle filter," IEEE Trans. Signal Process., vol. 53, no. 11, pp. 4408-4411, Nov. 2005. (Pubitemid 41622571)
83. D. Fox, "Adapting the sample size in particle filters through KLD-sampling," Int. J. Robot. Res., vol. 22, no. 12, pp. 985-1003, 2003.
84. J. S. Liu, R. Chen, and T. Logvinenko, "A theoretical framework for sequential importance sampling and resampling," in Sequential Monte Carlo Methods in Practice, A. Doucet, N. de Freitas, and N. Gordon, Eds. New York: Springer-Verlag, 2001, pp. 225-242.
85. L. Stutters, H. Liu, C. Tiltman, and D. J. Brown, "Navigation technologies for autonomous underwater vehicles," IEEE Trans. Syst. Man Cybern. C, Appl. Rev., vol. 38, no. 4, pp. 581-589, Jul. 2008.
86. S. E. Dosso andM. J.Wilmut, "Uncertainty estimation in simultaneous Bayesian tracking and environmental inversion," J.Acoust. Soc. Amer., vol. 124, no. 1, pp. 82-97, 2008. (Pubitemid 352019356)
87. D. Tollefsen and S. E. Dosso, "Three-dimensional source tracking in an uncertain environment," J. Acoust. Soc. Amer., vol. 125, no. 5, pp. 2909-2917, 2009.
88. G. L. D'Spain and W. A. Kuperman, "Application of waveguide invariants to analysis of spectrograms from shallow water environments that vary in range and azimuth," J. Acoust. Soc. Amer., vol. 106, no. 5, pp. 2454-2468, 1999.
89. N. O. Booth, A. T. Abawi, P. W. Schey, and W. S. Hodgkiss, "Detectability of low-level broad-band signals using adaptive matchedfield processing with vertical aperture arrays," IEEE J. Ocean. Eng., vol. 25, no. 3, pp. 296-313, Jul. 2000.
90. C. Dubois and M. Davy, "Joint detection and tracking of timevarying harmonic components: A flexible Bayesian approach," IEEE Trans. Audio Speech Lang. Process., vol. 15, no. 4, pp. 1283-1295, May 2007.
91. K. Kalgaonkar and M. Clements, "Vocal tract area based formant tracking using particle filter," in Proc. IEEE Int. Conf. Acoust. Speech Signal Process., Apr. 2008, pp. 3405-3408.
92. C.-F. Huang, P. Gerstoft, andW. S. Hodgkiss, "Validation of statistical estimation of transmission loss in the presence of geoacoustic inversion uncertainty," J. Acoust. Soc. Amer., vol. 120, no. 4, pp. 1932-1941, 2006. (Pubitemid 44536120)
93. T. G. Oesterlein, C. He, J. E. Quijano, R. L. Campbell, Jr., L. M. Zurk, and M. Siderius, "Extraction of time-frequency target features," in Conf. Record 39th Asilomar Conf. Signals Syst. Comput., Pacific Grove, CA, Nov. 2009.
94. P. Pignot and N. R. Chapman, "Tomographic inversion of geoacoustic properties in a range-dependent shallow-water environment," J. Acoust. Soc. Amer., vol. 110, pp. 1338-1348, 2001.
95. E. A. Lehmann, "Particle filtering approach to adaptive time-delay estimation," in Proc. Int. Conf. Acoust. Speech Signal Process., 2006, pp. 1129-1132.
96. C.-F. Huang, P. Gerstoft, and W. Hodgkiss, "Effect of ocean sound speed uncertainty on matched-field geoacoustic inversion," J. Acoust. Soc. Amer., vol. 124, no. 4, pp. EL162-EL168, 2008. (Pubitemid 351810199)
97. Y.-M. Jiang and N. R. Chapman, "Bayesian geoacoustic inversion in a range dependent shallow water environment," J. Acoust. Soc. Amer., vol. 124, no. 4, pp. EL155-EL161, 2008. (Pubitemid 351810198)
98. C. Yardim, P. Gerstoft, and W. S. Hodgkiss, "Statistical maritime radar duct estimation using a hybrid genetic algorithm-Markov chain Monte Carlo method," Radio Sci., vol. 42, 2007, DOI: 10.1029/2006RS003561, RS3014.