Subsurface sensing under sensor positional uncertainty

IEEE Transactions on Geoscience and Remote Sensing

Volumn 45, Issue 3, 2007, Pages 675-688

  Tarokh, Ashley B ^a,b   Miller, Eric L ^a,c  

^a IEEE   (United States)

^b BRIGHAM AND WOMEN S HOSPITAL   (United States)

^c Tufts University   (United States)

Author keywords

Bounded data uncertainty; Dynamic programming; Electromagnetic induction (EMI); Min max optimization; Object classification; Parameter estimation; Positional uncertainty; Subsurface sensing

Indexed keywords

BOUNDED-DATA UNCERTAINTY; MIN-MAX OPTIMIZATION; OBJECT CLASSIFICATION; POSITIONAL UNCERTAINTY; SUBSURFACE SENSING;

ALGORITHMS; DATA REDUCTION; ERROR ANALYSIS; PROBLEM SOLVING; RADIO TRANSMITTERS; SENSORS;

ELECTROMAGNETIC INDUCTION;

EID: 33847751458     PISSN: 01962892     EISSN: None     Source Type: Journal    
DOI: 10.1109/TGRS.2006.888851     Document Type: Article

References (48)

1. B. Barrow and H. H. Nelson, "Model-based characterization of electromagnetic induction signatures obtained with the MTADS electromagnetic array," IEEE Trans. Geonci. Remote Sens., vol. 39, no. 6, pp. 1279-1285, Jun. 2001.
2. T. H. Bell, B. J. Barrow, and J. T. Miller, "Subsurface discrimination using electromagnetic induction sensors," IEEE Trans. Geosci. Remote Sens., vol. 39, no. 6, pp. 1286-1293, Jun. 2001.
3. L. H. Carin, Y. Yu, A. R. Dalichaouch, A. R. Perry, P. V. Czipott, and C. Baum, "On the wideband EMI response of rotationally symmetric permeable and conducting target," IEEE Trans. Geosci. Remote Sens., vol. 39, no. 6, pp. 1206-1213, Jun. 2001.
4. R. Chesney, Y. Das, J. E. McFee, and M. Ito, "Identification of metallic spheroids by classification of their electromagnetic responses," IEEE Trans. Pattern Anal. Mach. Intell., vol. PAMI-6, no. 6, pp. 809-820, 1984.
5. L. Collins, P. Gao, and L. Carin, "An improved Bayesian decision theoretic approach for landmine detection," IEEE Trans. Geosci. Remote Sens., vol. 38, no. 3, pp. 1352-1361, 2000.
6. S. J. Norton and I. J. Won, "Identification of buried unexploded ordinance from broadband electromagnetic induction data," IEEE Trans. Geosci. Remote Sens., vol. 39, no. 10, pp. 2253-2261, Oct. 2001.
7. T. H. Bell, B. Barrow, and N. Khadr, "Shape-based classification and discrimination of subsurface objects using electromagnetic induction," in Proc. Int. Geosci. Remote Sens. Symp., 1998, pp. 509-513.
8. L. S. Riggs, J. E. Mooney, and D. E. Lawrence, "Identification of metallic mine-like objects using low frequency magnetic fields," IEEE Trans. Geosci. Remote Sens., vol. 39, no. 1, pp. 56-66, Jan. 2001.
9. S. L. Tantum and L. M. Collins, "A comparison of algorithms for subsurface target detection and identification using time domain electromagnetic induction data," IEEE Trans. Geosci. Remote Sens., vol. 39, no. 6, pp. 1299-1306, Jun. 2001.
10. H. Nelson and J. R. McDonald, "Multisensor towed array detection system for UXO detection," IEEE Trans. Geosci. Remote Sens., vol. 39, no. 6, pp. 1139-1145, Jun. 2001.
11. K. Sun, K. O'Neill, F. Shubitidze, I. Shamatava, and K. D. Paulsen, "Fast data-derived fundamental spheroidal excitation models with application to UXO discrimination," IEEE Trans. Geosci. Remote Sens., vol. 43, no. 11, pp. 2573-2583, Nov. 2005.
12. L. M. Collins, Y. Zhang, J. Li, H. Wang, L. Carin, S. Hart, S. Rose-Pehrsson, H. Nelson, and J. McDonald, "On the low-frequency natural response of conducting and permeable targets," IEEE Trans. Geosci. Remote Sens., vol. 37, no. 1, pp. 347-359, Jan. 1999.
13. S. L. Tantum, Y. Q. Wang, and L. M. Collins, "Statistical and adaptive signal processing for UXO discrimination for next-generation sensor data," in Proc. Prog. Electromagn. Res. Symp., 2006, p. 362.
14. S. L. Tantum, Y. Yu, Q. Zhu, Y. Q. Wang, and L. M. Collins, "Mitigating measurement position uncertainty to improve UXO detection," in Proc. UXO Forum, 2006.
15. Y. Yu, S. L. Tantum, and L. M. Collins, "Bayesian mitigation of sensor position errors to improve unexploded ordnance detection," IEEE Trans. Geosci. Remote Sens., submitted for publication June 19, 2006 to IEEE Geoscience and Remote Sensing Letters.
16. J. T. Smith and H. F. Morrison"Optimizing receiver configurations for resolution of equivalent dipole polarizabilities in situ," IEEE Trans. Geosci. Remote Sens., vol. 43, no. 7, pp. 1490-1498, Jul. 2005.
17. A. B. Tarokh, E. L. Miller, I. J. Won, and H. Huang, "Statistical classification of buried objects from spatially sampled time or frequency domain EMI data," Radio Sci., vol. 39, no. 4, pp. RS4S05.1-RS4S05.11, 2004.
18. E. L. Miller, "On some options for statistical classification of buried objects from spatially sampled time or frequency domain EMI data," in Proc. SPIE - Conf. Detect. Mines and Mine Like Targets: VI, Apr. 2001, pp. 97-107.
19. D. Butler, "Report on a workshop on electromagnetic induction methods for UXO detection and discrimination," Lead. Edge, vol. 23, no. 8, pp. 766-770, Aug. 2004.
20. H. Huang and I. J. Won, "Characterization of UXO-like targets using broadband electromagnetic induction sensors," IEEE Trans. Geosci. Remote Sens., vol. 41, no. 3, pp. 652-663, Mar. 2003.
21. S. Chandrasekaran, G. H. Golub, M. Gu, and A. H. Sayed, "Parameter estimation in the presence of bounded modeling errors," IEEE Signal Process. Lett., vol. 4, no. 7, pp. 195-197, Jul. 1997.
22. J. Garnett, Bounded Analytic Functions. New York: Springer-Verlag, 2006.
23. G. H. Golub and C. F. Van Loan, "An analysis of the total least squares problem," SIAM J. Numer. Anal., vol. 17, no. 6, pp. 883-893, 1980.
24. A. E. Hoerl and R. W. Kennard, "Ridge regression: Biased estimation for non-orthogonal problems," Technometrics, vol. 12, no. 1, pp. 55-67, Feb. 1970.
25. B. Hassibi, A. H. Sayed, and T. Kailath, "Recursive linear estimation in Krein spaces - Part I: Theory," IEEE Trans. Autom. Control, vol. 41, no. 1, pp. 18-33, Jan. 1996.
26. ∞ Theories. Philadelphia, PA: SIAM, 1999.
27. S. V. Huffel and J. Vandewalle, The Total Least Squares Problem: Computational Aspects and Analysis. Philadelphia, PA: SIAM, 1991.
28. ∞-setting," IEEE Trans. Autom. Control, vol. 36, no. 2, pp. 152-166, Feb. 1991.
29. C. L. Lawson and R. J. Hanson, Solving Least-Squares Problems. Philadelphia, PA: SIAM, 1995.
30. A. H. Sayed and S. Chandrasekaran, "Parameter estimation with multiple sources and levels of uncertainties," IEEE Trans. Signal Process., vol. 48, no. 3, pp. 680-692, Mar. 2000.
31. A. H. Sayed, B. Hassibi, and T. Kailath, "Fundamental inertia conditions for minimization of quadratic forms in indefinite metric spaces," in Oper. Theory Adv. Appl. vol. 87. Basel, Switzerland: Birkhauser, 1996, pp. 309-347.
32. ∞ -optimal estimation: A tutorial," in Proc. IEEE Conf. Decis. and Control, Dec. 1992, pp. 2278-2286.
33. M. Byrtek, F. O'Sullivan, M. Muzi, and A. Spence, "An adaptation of ridge regression for improved estimation of kinetic model parameters from pet studies," IEEE Trans. Nucl. Sci., vol. 52, no. 1, pp. 63-68, Feb. 2005.
34. R. J. Kelly, "Reducing geometric dilution of precision using ridge regression," IEEE Trans. Aerosp. Electron. Syst., vol. 26, no. 1, pp. 154-168, Jan. 1990.
35. H. L. V. Trees, Detection, Estimation, and Modulation Theory, Part I. New York: Wiley-Interscience, 2001.
36. P. Gao, L. Collins, P. M. Garber, N. Geng, and L. Carin, "Classification of landmine-like metal targets using wideband electromagnetic induction," IEEE Trans. Geosci. Remote Sens., vol. 38, no. 3, pp. 1352-1361, May 2000.
37. P. Gao and L. Collins, "A comparison of optimal and suboptimal processors for classification of buried metal objects," IEEE Signal Process. Lett., vol. 6, no. 8, pp. 216-218, Aug. 1999.
38. _, "A theoretical performance analysis and simulation of time-domain EMI sensor data for land mine detection," IEEE Trans. Geosci. Remote Sens., vol. 38, no. 4, pp. 2042-2055, Jul. 2000.
39. Y. Das, J. E. McFee, J. Toews, and G. C. Stuart, "Analysis of an electromagnetic induction detector for real-time localization of buried objects," IEEE Trans. Geosci. Remote Sens., vol. 28, no. 3, pp. 278-287, May 1990.
40. S. Hassani, Foundations of Mathematical Physics. Boston, MA: Allyn and Bacon, 1991.
41. N. Geng, C. E. Baum, and L. Carin, "On the low-frequency natural response of conducting and permeable targets," IEEE Trans. Geosci. Remote Sens., vol. 37, no. 1, pp. 347-359, Jan. 1999.
42. A. Leon-Garcia, Probability and Random Processes for Electrical Engineering. Reading, MA: Addison-Wesley, 1994.
43. E. L. Miller and W. C. Karl, Fundamentals of Inverse Problems, Fall 2003. Northeastern University course ECEG398 Lecture Notes.
44. P. C. Hansen, "The L-curve and its use in the numerical treatment of inverse problems," in Computational Inverse Problems in Electrocardiology, ser. Advances in Computational Bioengineering. Southampton, U.K.: WIT Press, 2001, pp. 119-142. 5.
45. J. Stalnaker, A. Aliamiri, and E. L. Miller, "An enhanced dipole model for UXO discrimination," in Proc. IEEE Int. Geosci. Remote Sens. Symp., Jul. 2006.
46. A. Aliamiri, J. Stalnaker, and E. L. Miller, "A Bayesian approach for classification of buried objects using non-parametric prior model," in Proc. IEEE Int. Geosci. Remote Sens. Symp., Jul. 2006, pp. 3911-3915.
47. G. Etgen, Salas and Hille's Calculus. Hoboken, NJ: Wiley, 1995.
48. D. Bertsekas, Dynamic Programming and Optimal Control. Belmont, MA: Athena Scientific, 2005.