Stability and passivity enforcement of parametric macromodels in time and frequency domain

IEEE Transactions on Microwave Theory and Techniques

Volumn 56, Issue 11, 2008, Pages 2435-2441

  Deschrijver, Dirk ^a   Dhaene, Tom ^a  

^a GHENT UNIVERSITY   (Belgium)

Author keywords

Interpolation; Parametric macromodels; Rational functions; Time domain fitting; Vector fitting

Indexed keywords

FREQUENCY DOMAIN ANALYSIS; FUNCTION EVALUATION; PASSIVATION; PROBABILITY DENSITY FUNCTION; TIME DOMAIN ANALYSIS; VECTORS;

DESIGN VARIABLES; DO-MAINS; FREQUENCY DOMAINS; MACROMODEL; MACROMODELS; PARAMETERIZED; PARAMETRIC MACROMODEL; PARAMETRIC MACROMODELS; PASSIVITY ENFORCEMENTS; POST-PROCESSING; RATIONAL FUNCTIONS; ROBUST TECHNIQUES; TIME-DOMAIN FITTING; VECTOR FITTING;

FREQUENCY RESPONSE;

EID: 55849138356     PISSN: 00189480     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMTT.2008.2005868     Document Type: Article

References (27)

1. J. de Geest, T. Dhaene, N. Fache, and D. De Zutter, "Adaptive CAD-model building algorithm for general planar microwave structures," IEEE Trans. Microw. Theory Tech., vol. 47, no. 9, pp. 1801-1809, Sep. 1999.
2. R. Lehmensiek and P. Meyer, "Creating accurate multivariate rational interpolation models of microwave circuits by using efficient adaptive sampling to minimize the number of computational electromagnetic analyses," IEEE Trans. Microw. Theory Tech., vol. 49, no. 8, pp. 1419-1430, Aug. 2001.
3. A. Lamecki, P. Kozakowski, and M. Mrozowski, "Efficient implementation of the Cauchy method for automated CAD-model construction," IEEE Microw. Wireless Compon. Lett., vol. 30, no. 7, pp. 268-270, Jul. 2003.
4. X. Ding, V. K. Devabhaktuni, B. Chattaraj, M. C. E. Yagoub, M. Deo, X. Jianjun, and Q. J. Zhang, "Neural-network approaches to electro-magnetic-based modeling of passive components and their applications to high-frequency and high-speed nonlinear circuit optimization," IEEE Trans. Microw. Theory Tech., vol. 52, no. 1, pp. 436-449, Jan. 2004.
5. D. Deschrijver, T. Dhaene, and D. De Zutter, "A method and device for multivariate modelling," EU Patent Applicat. EP07118724.9, Oct. 17, 2007.
6. D. Deschrijver, T. Dhaene, and D. De Zutter, "Robust parametric macromodeling using multivariate orthonormal vector fitting," IEEE Trans. Microw. Theory Tech., vol. 56, no. 7, pp. 1661-1667, Jul. 2008.
7. P. Triverio, M. Nahkla, and S. Grivet-Talocia, "Parametric macromodeling of multiport networks from tabulated data," in Elect. Perform. Electron. Packag. Conf., Oct. 29, 2007, pp. 51-54.
8. D. Deschrijver, B. Haegeman, and T. Dhaene, "Orthonormal vector fitting: A robust macromodeling tool for rational approximation of frequency domain responses," IEEE Trans. Adv. Packag., vol. 30, no. 2, pp. 216-225, May 2007.
9. B. Gustavsen and A. Semlyen, "Rational approximation of frequency domain responses by vector fitting," IEEE Trans. Power Del., vol. 14, no. 3, pp. 1052-1061, Jul. 1999.
10. J. P. Berrut and L. N. Trefethen, "Barycentric Lagrange interpolation," SIAM Review, vol. 46, no. 3, pp. 501-517, September 2004.
11. J. P. Berrut, R. Baltensperger, and H. D. Mittelman, "Recent developments in Barycentric rational interpolation," in Trends and Applications in Constructive Approximation, ser. Numer. Math. Berlin, Germany: Birkhauser Basel, 2005, vol. 151.
12. C. Sanathanan and J. Koerner, "Transfer function synthesis as a ratio of two complex polynomials," IEEE Trans. Autom. Contr., vol. AC-8, no. 1, pp. 56-58, Jan. 1963.
13. W. Hendrickx and T. Dhaene, "A discussion of rational approximation of frequency domain responses by vector fitting," IEEE Trans. Power Syst., vol. 21, no. 1, pp. 441-443, Feb. 2006.
14. D. Deschrijver, B. Gustavsen, and T. Dhaene, "Advancements in iterative methods for rational approximation in the frequency domain," IEEE Trans. Power Del., vol. 22, no. 3, pp. 1633-1642, Jul. 2007.
15. D. Deschrijver, B. Haegeman, and T. Dhaene, "Robust identification of transient port responses using time domain orthonormal vector fitting," in Proc. 3rd IFAC Syst., Structure, Contr. Symp., Foz do Iguacu, Brazil, Oct. 2007, 6 pp.
16. S. Grivet-Talocia, "The time-domain vector fitting algorithm for linear macromodeling," Int. J. Electron. Commun., vol. 58, pp. 293-295, Jul. 2004.
17. 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.
18. S. Grivet-Talocia, "Passivity enforcement via perturbation of Hamiltonian matrices," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 51, no. 9, pp. 1755-1769, Sep. 2004.
19. D. Saraswat, R. Achar, and M. Nahkla, "Enforcing passivity for rational function based macromodels of tabulated data," in Proc. IEEE Elect. Perform. Election. Packag. Top. Meeting, Oct. 2003, pp. 251-253.
20. L. Knockaert, "A simple and accurate algorithm for Barycentric rational interpolation," IEEE Signal Process. Lett., vol. 15, pp. 154-157, 2008.
21. M. S. Floater and K. Hormann, "Barycentric rational interpolation with no poles and high rates of approximation," Numer. Math., vol. 107, no. 2, pp. 315-331, Aug. 2007.
22. S. F. Peik, R. R. Mansour, and Y. L. Chow, "Multidimensional Cauchy method and adaptive sampling for an accurate microwave circuit modeling," IEEE Trans. Microw. Theory Tech., vol. 46, no. 12, pp. 2364-2371, Dec. 1998.
23. D. Deschrijver, M. Mrozowski, T. Dhaene, and D. De Zutter, "Macro-modeling of multiport systems using a fast implementation of the vector fitting method," Microw. Wireless Compon. Lett., vol. 18, no. 6, pp. 383-385, Jun. 2008.
24. A. Lamecki and M. Mrozowski, "Equivalent SPICE circuits with guaranteed passivity from nonpassive models," Numer. Math., vol. 55, no. 3, pp. 526-532, Mar. 2007.
25. S. Grivet-Talocia, "An adaptive sampling technique for passivity characterization and enforcement of large interconnect macromodels," IEEE Trans. Adv. Packag., vol. 30, no. 2, pp. 226-237, May 2007.
26. D. M. Pozar, Microwave Engineering, 2nd ed. New York: Wiley, 1998.
27. M. H. Eghlidi, K. Mehrany, and B. Rashidian, "Analytical approach for analysis of nonuniform lossy/lossless transmission lines and tapered microstrips," IEEE Trans. Microw. Theory Tech., vol. 54, no. 12, pp. 4122-4129, Dec. 2006.