Modelorder reduction in electromagnetics using modelbased parameter estimation

Frontiers in Electromagnetics

Volumn , Issue , 1999, Pages 371-436

  Miller, Edmund K ^a   Sarkar, Tapan K ^a  

^a NONE

Author keywords

Data models; Frequency modulation; Mathematical model; Numerical models; Resonant frequency; Spectral analysis; Time frequency analysis

Indexed keywords

DATA REDUCTION; DATA STRUCTURES; FREQUENCY MODULATION; MATHEMATICAL MODELS; NATURAL FREQUENCIES; NUMERICAL MODELS; POLES; SPECTRUM ANALYSIS;

ANALYTICAL APPROXIMATION; DESIGN AND OPTIMIZATION; FIRST PRINCIPLES MODELS; MATHEMATICAL EXPRESSIONS; MODEL BASED PARAMETER ESTIMATION; MODEL ORDER REDUCTION; MODEL-BASED PARAMETER ESTIMATIONS; TIME FREQUENCY ANALYSIS;

PARAMETER ESTIMATION;

EID: 84963743262     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1109/9780470544686.ch9     Document Type: Chapter

References (69)

1. J. T. Cordaro and W. A. Davis, “Time Domain Techniques in the Singularity Expansion Method,” IEEE Transactions on Antennas and Propagation, 23, 1980, pp. 358-367.
2. C. E. Baum, “Emerging Technology for Transient and Broadband Analysis and Synthesis of Antennas and Scatterers,” Proc. IEEE, 64 (12), 1976, pp. 1598-1616.
3. A. Ralston, A First Course in Numerical Analysis, McGraw-Hill Book Co., New York, 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,” IEEE Antennas and Propagation Society Magazine, 40 (1), 1998, February, pp. 42-52.
6. E. K. Miller, “Model-Based Parameter Estimation in Electromagnetics: II—Applications to EM Observables,” IEEE Antennas and Propagation Society Magazine, 40 (2), 1998, April, pp. 51-65.
7. E. K. Miller, “Model-Based Parameter Estimation in Electromagnetics: III—Applications to EM Integral Equations,” IEEE Antennas and Propagation Society Magazine, 40 (3), 1998, June, pp. 49-66.
8. S. A. Schelkunoff and H. T. Friis, Antennas: Theory and Practice, John Wiley &Sons, Inc., New York, Chapter 9, 1952.
9. E. K. Miller, “Model-Based Parameter-Estimation Applications in Electromagnetics,” in Electromagnetic Modeling and Measurements for Analysis and Synthesis Problems, B. de Neumann, ed., 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 Dilatabilité de Fluides Elastiques et sur Celles del la Force Expansive de la Vapeur de l’Alkool, à Differentes Temperatures,” J. TEcole 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 Trans, on Antennas and Propagation, 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, 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 Trans, on Antennas and Propagation, 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, U. 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, 2nd edn, Cambridge University Press, New York, 1992.
22. V. I. Kukulin, V. M. Krasnopol’sky, and J. Horácek, Theory of Resonances: Principles and Applications, Academia, Praha, Czechoslovakia, and Kluwer Academic Publishers, Dordrecht, The Netherlands, 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 Trans. Computer Aided Design, 1990, pp. 352-366.
25. C. J. Reddy, Private communication, 1997.
26. E. K. Miller, “A Variable Interval Width Quadrature Technique Based on Romberg’s Method,” Journal of Computational Physics, 5, 1970, pp. 265-279.
27. G. J. Burke, Private communication, 1992.
28. L. R. Fermelia, G. Z. Rollins, and P. Ramanujam, “The Use of Model-Based Parameter Estimation (MBPE) for the Design of Corrugated Horns,” Program Digest of US URSI Radio Science Meeting, University of Michigan, 1993, p. 388.
29. 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.
30. 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.
31. E. K. Miller, “An Approximate Formula for the Admittance of a Long, Thin Antenna,” IEEE Transactions on Antennas and Propagation, 16, 1968, pp. 127-128.
32. G. J. Burke and E. K. Miller, “Developing Optimal and Automatic Frequency Sampling in Moment-Method Solutions,” in Proceedings of the Tenth Annual Review of Progress in Applied Computational Electromagnetics, Doubletree Hotel, Monterey, CA, March 21-26, 1994, pp. 165-172.
33. E. K. Miller, “Minimizing the Number of Frequency Samples Needed to Represent a Transfer Function Using Adaptive Sampling,” in 12th Annual Review of Progress in Applied Computational Electromagnetics, Naval Postgraduate School, Monterey, CA, 1996, pp. 1132-1139.
34. S. D. Lin, “Interpolation Techniques for Noisy Spectral Data” Ph.D. dissertation, Mississippi State University, 1991.
35. 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.
36. C. A. Balanis, Antenna Theory, Harper and Row, New York, 1982, pp. 679-684.
37. Mathur, M. Private communication, Ohio University, Columbus, 1995.
38. M. P. Hurst and R. Mittra, “Scattering Center Analysis Via Prony’s Method,” IEEE Transactions on Antennas and Propagation, 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,” Ph.D. dissertation, Ohio State University, Columbus, 1992.
40. I. J. Gupta, “High-Resolution Radar Imaging Using 2-D Linear Prediction,” IEEE Transactions on Antennas and Propagation, 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, 26, 1978, p. 556.
43. E. K. Miller, “Admittance Dependence of the Infinite Cylindrical Antenna Upon Exciting Gap Thickness,” Radio Science, 1967, pp. 1431-1435.
44. T. H. Lehman, “A Statistical Theory of Electromagnetic Fields in Complex Cavities,” Phillips Laboratory, Kirtland AFB, NM, Interaction Note 494, 1993.
45. R. Smith, Private communication, Kaman Sciences, Colorado Springs, CO, 1990.
46. G. J. Burke and E. K. Miller, “Modeling Antennas Near to and Penetrating a Lossy Interface,” IEEE Transactions on Antennas and Propagation, 32, 1984, pp. 1040-1049.
47. 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.
48. 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, 25 (4), 1989, pp. 2878-2880.
49. 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.
50. F. X. Canning, “Transformations That Produce a Sparse Moment Matrix,” J Electromagnetic Waves and Applications, 4, 1990, pp. 983-993.
51. Chew, W. C. (1993), “Fast Algorithms for Wave Scattering Developed at the University of Illinois’ Electromagnetics Laboratory,” IEEE Antennas and Propagation Magazine, 35 (4), pp. 22-32.
52. 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.
53. 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.
54. E. H. Newman, “Generation of Wide band Data From the Method of Moments by Interpolating the Impedance Matrix,” IEEE Trans. Antennas Propagat., 36 (12), 1988, pp. 1820-1824.
55. G. W. Benthien and H. A. Schenck, “Structural-Acoustic Coupling,” in Boundary Element Methods in Acoustics, R. D. Ciskowski and C. A. Brebbia, ed., Computational Mechanics Publications, New York, 1991.
56. 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 Trans. Magnetics, 25 (4), 1989, pp. 2807-2809, July.
57. K. Virga and Y. Rahmat-Samii, “Wide-Band Evaluation of Communications Antennas Using [Z] Matrix Interpolation with the Method of Moments,” in IEEE Antennas and Propagation Society International Symposium, Newport Beach, CA, 1995, pp. 1262-1265.46.
58. 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, 41, 1993, pp. 806-812.
59. 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.
60. K. W. Brown and A. Prata, “Efficient Analysis of Large Cylindrical Reflector Antennas Using a Nonlinear Solution of the Electric Field Integral Equation,” IEEE Antennas and Propagation Society International Symposium, Seattle, WA, 1994, pp. 42-45.
61. C. E. Baum, “Toward an Engineering Theory of Electromagnetic Scattering: The Singularity and Eigenmode Expansion Methods,” in Electromagnetic Scattering, P. L. E. Uslenghi, ed., Chapter 15, Academic Press, New York, 1978, pp. 571-651.
62. E. F. Knott, J. F. Shaeffer, and M. T. Tuley, RADAR Cross Section, 2nd edn, Boston: Artech House, 1993.
63. Kluskens, M., Private communication, 1998.
64. Shantnu Mishar, David Florida Laboratory, Ottawa, Canada, 1996.
65. R. J. Allard, D. H. Werner, J. S. Zmyslo, and P. L. Werner, “Model-Based Parameter Estimation of Antenna Radiation Pattern Frequency Spectra,” Proc. IEEE Antennas and Propagation Symposium, VI, pp. 62-65, 1998.
66. S. Haykin, Adaptive Filter Theory, Prentice Hall, Englewood Cliffs, 1996.
67. Y. Hua and T. K. Sarkar, “On SVD for Estimating Generalized Eigenvalues of Singular Matrix Pencil in Noise,” IEEE Trans. Acoustics; Speech and Signal Processing, 39 (4), 1991, pp. 892-900.
68. Y. Hua and T. K. Sarkar, “On the Total Least Squares Linear Prediction Method for Frequency Estimation,” IEEE Trans. Acoustics, Speech and Signal Processing, 38 (12), 1990, pp. 1286-2189.
69. R. S. Adve, T. K. Sarkar, S. M. Rao, E. K. Miller, and D. R. Pflug, “Application of the Cauchy Method for Extrapolating/Interpolating Narrow-Band System Responses,” IEEE Trans, on Microwave Theory, 45 (5, Pt. II), 1997, pp. 837-845.