Generating high-accuracy simulation models using problem-tailored orthogonal polynomials basis

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 53, Issue 12, 2006, Pages 2705-2714

  Coelho, Carlos Pinto ^a   Phillips, Joel R ^b   Silveira, Luís Miguel ^c,d  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b CADENCE DESIGN SYSTEMS   (United States)

^c INESC   (Portugal)

^d Cadence Laboratories / INESC ID   (Portugal)

Author keywords

Frequency data interpolation; Orthogonal polynomials basis; Problem specific polynomials; Simulation mode

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SIMULATION; MATHEMATICAL MODELS; POLYNOMIALS;

FREQUENCY-DATA INTERPOLATION; ORTHOGONAL POLYNOMIALS BASIS; PROBLEM-SPECIFIC POLYNOMIALS; SIMULATION MODE;

DATA COMMUNICATION SYSTEMS;

EID: 33845783839     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2006.883865     Document Type: Article

References (23)

1. L. M. Silveira, I. M. Elfadel, J. K. White, M. Chilukuri, and K. S. Kundert, "An efficient approach to transmission-line simulation using measured or tabulated S-parameter data," in Proc. 31st Des. Autom. Conf., San Diego, CA, Jun. 1994, pp. 634-639.
2. T. V. Nguyen, J. Li, and Z. Bai, "Dispersive coupled transmission line simulation using an adaptive block lanczos algorithm," in Proc. Int. Custom Integr. Circuits Conf., May 1996, pp. 457-460.
3. G. Zheng, Q.-J. Zhang, M. Nakhla, and R. Achar, "An efficient approach to moment-matching simulation of linear subnetworks with measured or tabulated data," in Proc. Int. Conf. Comput. Des., San Jose, CA, Nov. 1996, pp. 20-23.
4. A. Deutsch, G. V. Kopcsay, P. J. Restle, H. H. Smith, G. Katopis, W. D. Becker, P. W. Coteus, C. W. Surovic, B. J. Rubin, R. P. Dunne, T. Gallo, K. A. Jenkins, L. M. Terman, R. H. Dennard, G. A. Sai-Halasz, B. L. Krauter, and D. R. Knebel, "When are transmission line effects important for on-chip interconnections?," IEEE Trans. Microw. Theory Tech., vol. 45, no. 10, pt. 2, pp. 1836-1846, Oct. 1997.
5. J. R. Phillips, E. Chiprout, and D. D. Ling, "Efficient full-wave electromagnetic analysis via model-order reduction of fast integral transforms," in Proc. 33rd Des. Autom. Conf., Las Vegas, Nevada, Jun. 1996, pp. 377-382.
6. W. T. Beyene, "Improving time-domain measurements with a network analyzer using a robust rational interpolation technique," IEEE Trans. Microw. Theory Tech., vol. 49, no. 3, pp. 500-508, Mar. 2001.
7. R. Gustavsen and A. Semlyen, "Rational approximation of frequency domain responses by vector fitting," IEEE Trans. Power Delivery, vol. 14, no. 3, pp. 1052-1061, Jul. 1999.
8. D. K. de Vries and P. M. J. Van den Hof, "Frequency domain identification with generalized orthonormal basis functions," IEEE Trans. Autom. Contr., vol. AC-43, no. 5, pp. 656-669, May 1998.
9. B. Mihaila and I. Mihaila, "Numerical approximations using chebyshev polynomial expansions: El-gendi's method revisited," J. Phys. A, vol. 35, no. 3, pp. 731-746, 2002 [Online]. Available: http://stacks.iop.org/0305-4470/35/731
10. L. M. Silveira, I. M. Elfadel, J. K. White, M. Chilukura, and K. S. Kundert, "Efficient frequency-domain modeling and circuit simulation of transmission lines," IEEE Trans. Compon., Packag., Manufact. Technol, B, Adv. Packag., vol. 17, no. 4, pp. 505-513, Nov. 1994.
11. S.-H. Min and M. Swantinathan, "Construction of broadband passive macromodels from frequency data for simulation of distributed interconnect networks," IEEE Trans. Electromagn. Compat., vol. 46, no. 4, pp. 544-558, Nov. 2004.
12. J. Morsey and A. C. Cangellaris, "PRIME: Passive realization of interconnect models from measured data," in Proc. IEEE 10th Topical Meeting Elect. Perform. Electronic Packag., Oct. 2001, pp. 47-50.
13. B. Gustavsen and A. Semlyen, "Enforcing passivity for admittance matrices approximated by rational functions," IEEE Trans. Power Syst., vol. 16, no. 1, pp. 97-104, Feb. 2001.
14. C. P. Coelho, J. R. Phillips, and L. M. Silveira, "A convex programming approach to generating guaranteed passive approximations for tabulated frequency-data," IEEE Trans. Comput.-Aided Design, vol. 23, no. 2, pp. 293-301, Feb. 2004.
15. C. P. Coelho, J. R. Phillips, and L. M. Silveira, "Robust rational function approximation algorithm for model generation," in Proc. 36th Des. Autom. Conf., New Orleans, LA, Jun. 1999, pp. 207-212.
16. G. H. Golub and C. F. V. Loan, Matrix Computations, ser. Series in the Mathematical Sciences, 3rd ed. Baltimore, MD: The John Hopkins Univ. Press, 1996.
17. Y. Saad, Iterative Methodsfor Sparse Linear Systems. Boston, MA: PWS Publishing, 1996.
18. L. N. Trefethen and D. Bau, Numerical Linear Algebra. Philadelphia, PA: SIAM, 1999.
19. A. Antoniou, Digital Filters Analysis, Design and Applications, 2nd ed. New York: McGraw-Hill, 1993.
20. ∞ error bounds," International J. Control, vol. 36, pp. 1115-1193, 1984.
21. T. Kailath, Linear Systems, 1st ed. Englewood Cliffs, NJ: Prentice-Hall, 1980.
22. R. S. Varga, Matrix Iterative Analysis. Englewood Cliffs, NJ: Prentice-Hall, 1962.
23. A. C. Antoulas, D. C. Sorensen, and S. Gugercin, "A survey of model reduction methods for large-scale systems," in Contemporary Mathematics, V. Olshevsky, Ed. Providence, RI: AMS, 2001, vol. 280, pp. 193-219.