Model-based parameter estimation in electromagnetics: Part I. Background and theoretical development

IEEE Antennas and Propagation Magazine

Volumn 40, Issue 1, 1998, Pages 42-52

  Miller, Edmund K ^a  

^a NONE   (United States)

Author keywords

Modeling; Parameter estimation; Sampling methods; Signal sampling and reconstruction

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; ESTIMATION; INTEGRAL EQUATIONS; MATHEMATICAL MODELS;

FITTING MODEL; FREQUENCY DOMAIN; MODEL BASED PARAMETER ESTIMATION; TIME DOMAIN;

ELECTROMAGNETIC WAVES;

EID: 0032000371     PISSN: 10459243     EISSN: None     Source Type: Journal    
DOI: 10.1109/74.667326     Document Type: Article

References (64)

1. J. T. Cordaro and W. A. Davis, "Time Domain Techniques in the Singularity Expansion Method," IEEE Transactions on Antennas and Propagation, AP-23, 1980, pp. 358-367.
2. C. E. Baum, "Emerging Technology for Transient and Broadband Analysis and Synthesis of Antennas and Scatterers," Proceedings of the IEEE, 64, 12, 1976, pp. 1598-1616.
3. A. Ralston, A First Course in Numerical Analysis, New York, McGraw-Hill Book Co., 1965.
4. D. Shanks, "Non-Linear Transformations of Divergent and Slowly Convergent Sequences," Journal of Mathematics and Physics, the Technology Press, Massachusetts Institute of Technology, Cambridge, MA, 1955, pp. 1-42.
5. E. K. Miller, "Model-Based Parameter Estimation in Electromagnetics: I-Background and Theoretical Development," Applied Computational Electromagnetics Society Newsletter, 10, 3, November 1995.
6. E. K. Miller, "Model-Based Parameter Estimation in Electromagnetics: II-Applications to EM Observables," Applied Computational Electromagnetics Society Newsletter, 11, 2, 1996, pp. 35-56.
7. E. K. Miller, "Model-Based Parameter Estimation in Electromagnetics: III-Applications to EM Integral Equations," Applied Computational Electromagnetics Society Journal, 10, 3, 1995, pp. 9-29.
8. S. A. Schelkunoff and H. T. Friis, Antennas: Theory and Practice" New York, John Wiley & Sons, Inc., 1952, Chapter 9.
9. E. K. Miller, "Model-Based Parameter-Estimation Applications in Electromagnetics," in B. de Neumann (ed.), Electromagnetic Modeling and Measurements for Analysis and Synthesis Problems, Kluwer Academic Publishers, NATO ASI Series E: Applied Sciences, 199, 1991, pp. 205-256.
10. R. Prony, "Essai Experimental et Analytique sur les Lois de la Dilatabilite de Fluides Elastiques et sur Celles del la Force Expansive de la Vapeur de L'alkool, a Differentes Temperatures," J. l'Ecole Polytech. (Paris), 1, 1795, pp. 24-76.
11. T. K. Sarkar, J. Nebat, D. D. Weiner, and V. K. Jain, "Suboptimal Approximation/Identification of Transient Waveforms from Electromagnetics Systems by Pencil-of-Function Method," IEEE Transactions on Antennas and Propagation, AP-28, 12, 1980, pp. 928-933.
12. T. K. Sarkar and O. Pereira, "Using the Matrix Pencil Method to Estimate the Parameters of a Sum of Complex Exponentials," IEEE Antennas and Propagation Society Magazine, 37, 1, 1995, pp. 48-55.
13. Y. Hua and T. K. Sarkar, "Generalized Pencil-of-Functions Method for Extracting the Poles of an Electromagnetic System from its Transient Response," IEEE Transactions on Antennas and Propagation, AP-37, 2, 1989, pp. 229-234.
14. A. J. Poggio, M. L. Van Blaricum, E. K. Miller, and R. Mittra, "Evaluation of a Processing Technique for Transient Data," IEEE Transactions on Antennas and Propagation, AP-26, 1, 1978, pp. 165-173.
15. E. K. Miller and D. L. Lager, "Inversion of One-Dimensional Scattering Data Using Prony's Method," Radio Science, 17, 1982, pp. 211-217.
16. C. J. Benning, "Adaptive Array Beamforming and Steering Using Prony's Method," Proceedings 19th Annual Symposium on USAF Antenna Research and Development Program, University of Illinois, Allerton, 1969.
17. E. K. Miller and D. L. Lager, "Imaging of Linear Source Distributions," Electromagnetics, 3, 1983, pp. 21-40.
18. R. S. Adve and T. K. Sarkar, "Generation of Accurate Broadband Information from Narrowband Data Using the Cauchy Method," Microwave and Optical Technology Letters, 6, 10, 1993, pp. 569-573.
19. R. S. Adve and T. K. Sarkar, "The Effect of Noise in the Data on the Cauchy Method," Microwave and Optical Technology Letters, 7, 5, 1994, pp. 242-247.
20. E. K. Miller and G. J. Burke, "Using Model-Based Parameter Estimation to Increase the Physical Interpretability and Numerical Efficiency of Computational Electromagnetics," Computer Physics Communications, 68, 1991, pp. 43-75.
21. W. H. Press, S. A. Teukolsky, W. T. Vettering and B. P. Flannery, Numerical Recipes. Second Edition, Cambridge, Cambridge University Press, 1992.
22. V. I. Kukulin, V. M. Krasnopol'sky and J. Horácek, Theory of Resonances: Principles and Applications, Praha, Czechoslovakia, Academia, and Nordrecht, The Netherlands, Kluwer Academic Publishers, 1989.
23. G. J. Burke and E. K. Miller (1988), "Use of Frequency-Derivative Information to Reconstruct an Electromagnetic Transfer Function," Fourth Annual ACES Review, Naval Postgraduate School, Monterey, CA, March 22-24.
24. L. T. Pillage and R. A. Rohrer, "Asymptotic Waveform Evaluation for Timing Analysis," IEEE Transactions on Computer-Aided Design, 1990, pp. 352-366.
25. C. J. Reddy, Private Communication, 1997.
26. G. J. Burke, G. J., Private Communication, 1992.
27. J. T. de Beer and D. C. Baker, "An Examination of the Effect of Mechanical Deformation on the Input Impedance of HF LPDA's Using MBPE," Applied Computational Electromagnetics Society Journal, 10, 3, 1995, pp. 30-37.
28. G. J. Burke, E. K. Miller, S. Chakrabarti, and K. Demarest, "Using Model-Based Parameter Estimation to Increase the Efficiency of Computing Electromagnetic Transfer Functions," IEEE Transactions on Magnetics, MAG-25, 4, 1989, pp. 2807-2809, July.
29. L. R. Fermelia, G. Z. Rollins and P. Ramanujam, "The Use of Model-Based Parameter Estimation (MBPE) for the Design of Corrugated Horns," IEEE International Symposium on Antennas and Propagation and URSI National Radio Science Meeting URSI Abstracts, University of Michigan, 1993, p. 388.
30. K. Kottapalli, T. K. Sarkar, R. Adve, Y. Hua, E. K. Miller, and G. J. Burke, "Accurate Computation of Wideband Response of Electromagnetic Systems Utilizing Narrowband Information," Computer Physics Communications, 68, 1991, pp. 126-144.
31. K. Krishnamoothy, T. K. Sarkar, X. Yang, E. K. Miller and G. J. Burke, "Use of Frequency-Derivative Information to Reconstruct the Scattered Field of a Conducting Cylinder Over a Wide Frequency Band," Journal of Electromagnetic Waves and Applications, 5, 6, pp. 653-663, 1991.
32. S. D. Lin, S. D., "Interpolation Techniques for Noisy Spectral Data," PhD Dissertation, Mississippi State University, 1991.
33. E. K. Miller, "Using Model-Based Parameter Estimation to Estimate the Accuracy of Numerical Models," in 12th Annual Review of Progress in Applied Computational Electromagnetics, Naval Postgraduate School, Monterey, CA, 1996, pp. 588-595.
34. A. R. Roberts and D. A. McNamara, "Interpolating Radiation Patterns Using Prony's Method," Proceedings of the Symposium on Antennas and Propagation and Microwave Theory and Techniques, University of Stellenbosch, Stellenbosch, South Africa, October, 1994, pp. 151-154.
35. O. M. Bucci and G. Franceschetti, "On the Spatial Bandwidth of Scattered Fields," IEEE Transactions on Antennas and Propagation, AP-35, pp. 1987, 1445-1455.
36. C. A. Balanis, Antenna Theory, New York, Harper and Row, 1982, pp. 679-684.
37. Mathur, Private Communication, Ohio University, 1995.
38. M P. Hurst and R. Mittra, "Scattering Center Analysis Via Prony's Method," IEEE Transactions on Antennas and Propagation, AP-35, 1987, pp. 986-988.
39. J. J. Sacchini, "Development of Two-Dimensional Parametric Radar Signal Modeling and Estimation Techniques with Application to Target Identification" PhD Dissertation, Ohio State University, 1992.
40. I. J. Gupta, I. J., "High-Resolution Radar Imaging Using 2-D Linear Prediction," IEEE Transactions on Antennas and Propagation, AP-42, 1994, pp. 31-37.
41. R. J. Lytle and D. L. Lager, "Using the Natural-Frequency Concept in Remote Probing of the Earth," Radio Science, 7, 3, 1976, pp. 245-250.
42. C. R. Tai, "Transients on Lossless Terminated Transmission Lines," IEEE Transactions on Antennas and Propagation, AP-26, 1978, p. 556.
43. E. K. Miller, "A Variable Interval Width Quadrature Technique Based on Romberg's Method," Journal of Computational Physics, 5, 1970, pp. 265-279.
44. E. K. Miller, "An Approximate Formula for the Admittance of a Long, Thin Antenna," IEEE Transactions on Antennas and Propagation, AP-16, 1968, pp. 127-128.
45. E. K. Miller, "Admittance Dependence of the Infinite Cylindrical Antenna Upon Exciting Gap Thickness," Radio Science, 1967, pp. 1431-1435.
46. T. H. Lehman, "A Statistical Theory of Electromagnetic Fields in Complex Cavities," BMP Interaction Note IN-494, Phillips Laboratory, Kirtland AFB, NM, 1993.
47. R. Smith, Private Communication, Kaman Sciences, Colorado Springs, CO, 1990.
48. A. W. Oppenheim and R. W. Schafer, Digital Signal Processing, Englewood Cliffs, NJ, Prentice-Hall, Inc., 1975.
49. G. J. Burke and E. K. Miller, "Modeling Antennas Near to and Penetrating a Lossy Interface," IEEE Transactions on Antennas and Propagation, AP-32, 1984, pp. 1040-1049.
50. E. K. Miller, J. N. Brittingham, and J. T. Okada, "Bivariate-Interpolation Approach for Efficiently and Accurately Modeling Antennas Near a Half Space," Electronics Letters, 13, 1977, pp. 690-691.
51. K. R. Demarest, E. K. Miller, K. Kalbasi, and L-K Wu, "A Computationally Efficient Method of Evaluating Green's Functions for 1-, 2-, and 3D Enclosures," IEEE Transactions on Magnetics, MAG-25, 4, 1989, pp. 2878-2880.
52. R. Coifman, V. Rokhlin and S. Wandzura, "The Fast Multipole Method for the Wave Equation: A Pedestrian Prescription," IEEE Antennas and Propagation Magazine, 34, 3, 1993, pp. 7-12.
53. F. X. Canning, "Transformations That Produce a Sparse Moment Matrix," Journal of Electromagnetic Waves and Applications, 4, 1990, pp. 983-993.
54. Chew, W. C. (1993), "Fast Algorithms for Wave Scattering Developed at the University of Illinois' Electromagnetics Laboratory," IEEE Antennas and Propagation Magazine, 35, 4, 1993, pp. 22-32.
55. G. Vecchi, P. Pirinoli, L. Matekovits and M. Orefice, "Singular Value Decomposition in Resonant Printed Antenna Analysis," in Proceedings of Joint 3rd International Conference of Electromagnetics in Aerospace Applications, 1993, pp. 343-346.
56. E. K. Miller, F. J. Deadrick, G. J. Burke and J. A. Landt, "Computer-Graphics Applications in Electromagnetic Computer Modeling," Electromagnetics, 1, 1981, pp. 135-153.
57. E. H. Newman, "Generation of Wide band Data From the Method of Moments by Interpolating the Impedance Matrix," IEEE Transactions on Antennas and Propagation, AP-36, 12, 1988, pp. 1820-1824.
58. G. W. Benthien and H. A. Schenck, "Structural-Acoustic Coupling," in R. D. Ciskowski and C. A. Brebbia (eds.), Boundary Element Methods in Acoustics, Computational Mechanics Publications, 1991.
59. K. Virga and Y. Rahmat-Samii, "Wide-Band Evaluation of Communications Antennas Using [Z] Matrix Interpolation with the Method of Moments," in IEEE International Symposium on Antennas and Propagation Digest, Newport Beach, CA, 1995, pp. 1262-1265.
60. R. M. Shubair and Y. L. Chow, "A Simple and Accurate Complex Image Interpretation of Vertical Antennas Present in Contiguous Dielectric Half-Spaces," IEEE Transactions on Antennas and Propagation, AP-41, 1993, pp. 806-812.
61. D. G. Fang, J. J. Yang, and G. L. Delisle, "Discrete Image Theory for Horizontal Electric Dipoles in a Multilayered Medium," IEE Proceedings, 135, 1988, pp. 297-303.
62. K. W. Brown and A. Prata, "Efficient Analysis of Large Cylindrical Reflector Antennas Using a Nonlinear Solution of the Electric Field Integral Equation," in IEEE International Symposium on Antennas and Propagation Digest, Seattle, WA, 1994, pp. 42-45.
63. R. C. Hall and J. R. Mosig, "The Analysis of Arbitrarily Shaped Aperture-Coupled Patch Antennas," IEEE Transactions on Antennas and Propagation, AP-44, 1996, pp. 608-614.
64. C. E. Baum, "Toward an Engineering Theory of Electromagnetic Scattering: The Singularity and Eigenmode Expansion Methods," P. L. E. Uslenghi (ed.), Electromagnetic Scattering, New York, Academic Press, 1978, Chapter 15, pp. 571-651.