Quasi-Fluid-Mechanics-Based Quasi-Bayesian Cramér-Rao Bounds for Deformed Towed-Array Direction Finding

IEEE Transactions on Signal Processing

Volumn 52, Issue 1, 2004, Pages 36-47

  Tichavský, Petr ^a   Wong, Kainam Thomas ^b  

^a INSTITUTE OF MATHEMATICS   (Czech Republic)

^b UNIVERSITY OF WATERLOO   (Canada)

Author keywords

Acoustical signal processing; Array signal processing; Direction of arrival estimation; Marine telemetry; Parameter estimation; Sonar arrays; Sonar signal processing; Underwater acoustic arrays

Indexed keywords

CHEMICAL ANALYSIS; FLUID MECHANICS; HYDRODYNAMICS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; SONAR; STATISTICAL METHODS; TELEMETERING; UNDERWATER ACOUSTICS;

MARINE TELEMETRY; SONAR ARRAYS; UNDERWATER ACOUSTIC ARRAYS;

SIGNAL PROCESSING;

EID: 0346972418     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2003.820072     Document Type: Article

References (41)

1. M. P. Paidoussis, "Dynamics of flexible slender cylinder in axial flow, Part I: Theory," J. Fluid Mech., vol. 26, pp. 717-736, 1966.
2. _, "Dynamics of flexible slender cylinder in axial flow, Part II: Experiment," J. Fluid Mechan., vol. 26, pp. 737-751, 1966.
3. _, "Dynamics of cylindrical structures subject to axial flow," J. Sound Vibr., vol. 29, pp. 365-385, 1973.
4. M. J. Hinich, "Bearing estimation using a perturbed linear array," J. Acoust. Soc. Amer., vol. 61, no. 6, pp. 1540-1544, June 1977.
5. P. M. Schultheiss and J. P. Ianniello, "Optimum range & bearing estimation with randomly perturbed arrays," J. Acoust. Soc. Amer., vol. 68, no. 1, pp. 167-173, July 1980.
6. N. L. Owsley, "Shape estimation for a flexible underwater cable," in Proc. IEEE EASCON Conf., 1981.
7. R. M. Kennedy, "Crosstrack dynamics of a long cable towed in the ocean," in Proc. IEEE Oceans Conf., 1981, pp. 966-981.
8. R. M. Kennedy and E. S. Strahan, "A linear theory of transverse cable dynamics at low frequencies," Naval Underwater Syst. Center, New London, CT, NUSC Tech. Rep. 6463, 1981.
9. Y. Rockah and P. M. Schultheiss, "Array shape calibration using sources in unknown locations-Part I: Far-field sources," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-35, pp. 286-299, Mar. 1987.
10. _, "Array shape calibration using sources in unknown locations-Part II: Near-field sources and estimator implementation," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-35, pp. 724-735, June 1987.
11. A. P. Dowling, "The dynamics of towed flexible cylinders, Part I: Neutrally buoyant elements," J. Fluid Mech., vol. 187, pp. 507-532, 1988.
12. _, "The dynamics of towed flexible cylinders, Part II: Negatively buoyant elements," J. Fluid Mech., vol. 187, pp. 533-571, 1988.
13. E. C. van Ballegooijen, G. W. M. van Mierlo, C. van Schooneveld, P. P. M. van der Zalm, A. T. Parsons, and N. H. Field, "Measurement of towed array position, shape and altitude," IEEE J. Ocean. Eng., vol. 14, pp. 375-383, Oct. 1989.
14. A. J. Weiss and B. Friedlander, "Array shape calibration using sources in unknown locations - A maximum likelihood approach," IEEE Trans. Signal Processing, vol. 37, pp. 1958-1966, Dec. 1989.
15. B. Wahlberg, B. Ottersten, and M. Viberg, "Robust signal parameter estimation in the presence of array perturbations," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing, 1991, pp. 3277-3280.
16. B. E. Howard and J. M. Syck, "Calculation of the shape of a towed underwater acoustic array," IEEE J. Ocean. Eng., vol. 17, pp. 193-203, Apr. 1992.
17. A. L. Swindlehurst and T. Kailath, "A performance analysis of subspace-based methods in the presence of model errors, Part I: The MUSIC algorithm," IEEE Trans. Signal Processing, vol. 40, pp. 1758-1773, July 1992.
18. S. Marcos, "Calibration of a distorted towed array using a propagator operator," J. Acoust. Soc. Amer., pt. 1, vol. 93, no. 4, pp. 1987-1994, Apr. 1993.
19. S. Li and P. M. Schultheiss, "Depth measurement of remote sources using multipath propagation," IEEE J. Ocean. Eng., vol. 18, pp. 379-387, Oct. 1993.
20. B. H. Maranda and J. A. Fawcett, "The localization accuracy of a horizontal array observing a narrowband target with partial coherence," IEEE J. Ocean. Eng., vol. 18, pp. 466-473, Oct. 1993.
21. D. A. Gray, B. D. O. Anderson, and R. R. Bitmead, "Towed array shape estimation using kalman filters - Theoretical models," IEEE J. Ocean. Eng., vol. 18, pp. 543-556, Oct. 1993.
22. B. G. Quinn, R. F. Barrett, P. J. Kootsookos, and S. J. Searle, "The estimation of the shape of an array using a hidden Markov model, " IEEE J. Ocean. Eng., vol. 18, pp. 557-564, Oct. 1993.
23. B. G. Ferguson, "Remedying the effects of array shape distortion on the spatial filtering of acoustic data from a line array of hydrophones," IEEE J. Ocean. Eng., vol. 18, pp. 565-571, Oct. 1993.
24. J. L. Riley and D. A. Gray, "Towed array shape estimation using kalman filters-Experimental investigations," IEEE J. Ocean. Eng., vol. 18, pp. 572-581, Oct. 1993.
25. D. E. Wahl, "Towed array shape estimation using frequency-wavenumber data," IEEE J. Ocean. Eng., vol. 18, pp. 582-590, Oct. 1993.
26. G. S. Edelson and D. W. Tufts, "Passive localization using a spatially-referenced towed array," in Proc. IEEE Oceans Conf., vol. 2, 1993, pp. 218-223.
27. N. C. Wyeth, "Methods of array element localization for a towed under-water acoustic array," IEEE J. Ocean. Eng., vol. 19, pp. 128-133, Jan. 1994.
28. M. Viberg and A. L. Swindlehurst, "Analysis of the combined effects of finite samples and model errors on array processing performance," IEEE Trans. Signal Processing, vol. 42, pp. 3073-3083, Nov. 1994.
29. _, "A bayesian approach to auto-calibration for parametric array signal processing," IEEE Trans. Signal Processing, vol. 42, pp. 3495-3507, Dec. 1994.
30. S. Narasimhan and J. L. Krolik, "A Cramér-Rao bound for source range estimation in a random ocean waveguide," in Proc. IEEE Workshop Stat. Signal Array Processing, 1994, pp. 309-312.
31. B. Porat, Digital Processing of Random Signals, Theory & Methods. Englewood Cliffs, NJ: Prentice-Hall, 1994.
32. J. Tabrikjan and H. Messer, "Three-dimensional source localization in a waveguide," IEEE Trans. Signal Processing, vol. 44, pp. 1-13, Jan. 1996.
33. J. J. Smith, Y. H. Leung, and A. Cantoni, "The Cramér-Rao lower bound for towed array shape estimation with a single source," IEEE Trans. Signal Processing, vol. 44, pp. 1033-1036, Apr. 1996.
34. _, "The partitioned eigenvector method for towed array shape estimation," IEEE Trans. Signal Processing, vol. 44, pp. 2273-2283, Sept. 1996.
35. S. K. Srivastava and C. Ganapathy, "Experimental investigations on loop maneuver of underwater towed cable array system," Ocean Eng., vol. 25, no. 1, pp. 85-102, Jan, 1998.
36. J. M. Goldberg, "Joint direction-of-arrival and array-shape tracking for multiple moving targets," IEEE J. Ocean. Eng., vol. 23, pp. 118-126, Apr. 1998.
37. T. SöderstrÖm, J. Ježek, and V. Kučera, "An efficient and versatile algorithm for computing the covariance function of an ARMA process," IEEE Trans. Signal Processing, vol. 46, pp. 1591-1600, June 1998.
38. N. V. Nikitakos, A. K. Leros, and S. K. Katsikas, "Towed array shape estimation using multimodel partitioning filters," IEEE J. Ocean. Eng., vol. 23, no. 4, pp. 118-126, Oct. 1998.
39. D. E. Calkins, "Metamodel-based towed system simulation," Ocean Eng., vol. 26, no. 11, pp. 1183-1247, Nov. 1999.
40. A. Jakoby, J. Goldberg, and H. Messer, "Source localization in shallow water in the presence of sensor location uncertainty," IEEE J. Ocean. Eng., vol. 25, pp. 331-336, July 2000.
41. F. Gini and R. Reggiannini, "On the use of Cramér-Rao-like bounds in the presence of random nuisance parameters," IEEE Trans. Commun., vol. 48, pp. 2120-2126, Dec. 2000.