Passivity verification in delay-based macromodels of multiconductor electrical interconnects

IEEE Transactions on Advanced Packaging

Volumn 30, Issue 2, 2007, Pages 246-256

  Chen, Changzhong ^a   Gad, Emad ^b   Nakhla, Michel ^a   Achar, Ramachandra ^a  

^a CARLETON UNIVERSITY   (Canada)

^b UNIVERSITY OF OTTAWA   (Canada)

Author keywords

Delay systems; High speed interconnects; Method of characteristics; Passivity; Positive realness

Indexed keywords

MATRIX ALGEBRA; NUMERICAL METHODS; SEMICONDUCTOR DEVICE MODELS; TRANSMISSION LINE THEORY;

DELAY SYSTEMS; HIGH-SPEED INTERCONNECTS; MACROMODELS; METHOD OF CHARACTERISTICS; MULTICONDUCTOR ELECTRICAL INTERCONNECTS; PASSIVITY VERIFICATION;

OPTICAL INTERCONNECTS;

EID: 34249812939     PISSN: 15213323     EISSN: None     Source Type: Journal    
DOI: 10.1109/TADVP.2007.895610     Document Type: Conference Paper

References (31)

1. J. E. Bracken, V. Raghavan, and R. A. Rohrer, "Interconnect simulation with asymptotic waveform evaluation," IEEE Trans. Circuits Syst.-I: Fundam. Theory Appl., vol. 39, no. 11, pp. 869-878, Nov. 1990.
2. S. Lin and E. Kuh, "Transient simulation of lossy interconnect," in Proc. IEEE/ACM Conf. Design Automation, Anaheim, CA, Jun. 1992, pp. 81-86.
3. M. Celik and A. Cangellaris, "A general dispersive multiconductor transmission line model for interconnect simulation in spice," in Proc. IEEE/ACM Int. Conf. Computer-Aided Design, 1996, pp. 563-568.
4. D. Kuznetsov and J. E. Schutt-Aine, "Optimal transient simulation of transmission lines," IEEE Trans. Circuits Syst..-I: Fundam. Theory Appl., vol. 43, no. 2, pp. 110-121, Feb. 1996.
5. F. H. Branin, Jr., "Transient analysis of lossless transmission lines," Proc. IEEE, vol. 55, pp. 2012-2013, Nov. 1967.
6. A. Gruodis and C. C. S., "Coupled lossy transmission line characterization and simulation," IBM J. Res. Development, vol. 25, no. 1, pp. 25-41, 1981.
7. S. Lin and E. Kuh, "Transient simulation of lossy interconnects based on the recursive convolution formulation," IEEE Trans. Circuits Syst. I: Fundam. Theory Appl., vol. 39, no. 11, pp. 879-892, Nov. 1992.
8. S. Grivet-Talocia, H.-M. Huang, A. E. Ruehli, F. Canavero, and I. Elfadel, "Transient analysis of lossy transmission lines: An efficient approach based on the method of characteristics," IEEE Trans. Adv. Packag., no. 1, pp. 45-56, Feb. 2004.
9. G. Miano and A. Maffucci, Transmission Lines and Lumped Circuits. San Diego, CA: Academic, 2001.
10. S. Pasha, A. C. Cangellaris, and J. Prince, "An all-purpose dispersive multiconductor interconnect model compatible with PRIMA," IEEE Trans. Adv. Packag., vol. 24, no. 2, pp. 126-131, May 2001.
11. A. Cangellaris and M. Celik, "Order reduction of high-speed interconnect electrical models: The issue of passivity," in IEEE Symp. IC/Package Design Integration, Feb. 1998, pp. 132-137.
12. S. Grivet-Talocia, "Passivity enforcement via perturbation of hamiltonian matrices," IEEE Trans. Circuits Syst.-I: Fundam. Theory Appl., vol. 51, no. 9, pp. 1755-1769, Sep. 2004.
13. D. Saraswat, R. Achar, and M. Nakhla, "Passive reduction algorithm for RLC interconnect circuits with embedded state-space systems (PRESS ," IEEE Trans. Microw. Theory Tech., vol. 52, no. 2, pp. 2215-2226, Sep. 2004.
14. B. Saraswat, R. Achar, and M. Nakhla, "Enforcing passivity for rational function based macromodels of tabulated data," in Proc. IEEE Topical Meeting Electrical Performance Electronic Packag., Oct. 2003, pp. 295-298.
15. E. Gad, C. Chen, M. Nakhla, and R. Achar, "A passivity checking algorithm for delay-based macromodels of lossy transmission lines," in Proc. IEEE Workshop Signal Propagation Interconnects SPI, May 2005, no. 10, pp. 125-128.
16. E. Gad, C. Chen, M. Nakhla, and R. Achar, "Passivity verification in delay-based macromodels of electrical interconnects," IEEE Trans. Circuits Syst.-I: Fundam. Theory Appl., vol. 52, no. 10, pp. 2173-2187, Oct. 2005.
17. P. Clayton, Analysis of Multiconductor Transmission Lines. New York: Wiley, 1994.
18. A. E. Guillemin, Synthesis of Passive Networks. New York: Wiley, 1957.
19. E. S. Kuh and R. A. Rohrer, Theory of Linear Active Networks. San Francisco, CA: Holden-Day, 1967.
20. Q. Yu, J. M. L. Wang, and E. S. Kuh, "Passive multipoint moment matching model order reduction algorithm on multiport distributed interconnect networks," IEEE Trans. Circuits Syst.-I: Fundam. Theory Appl., vol. 46, no. 1, pp. 140-160, Jan. 1999.
21. S. Niculescu, Delay Effects on Stability: A Robust Control Approach New York: Springer-Verlag, 2001.
22. D. Breda, S. Maset, and R. Vermiglio, "Computing the characteristic roots for delay differential equations," IMA J Numerical Anal., vol. 24, pp. 1-19, 2004.
23. K. Singh and Y. Ram, "Transcendental eigenvalue problem and its applications," AIAA J., vol. 40, no. 7, pp. 1402-1407, 2002.
24. N. Wagner and L. Gaul, "Eigenpath analysis of transcendental two-parameter eigenvalue problems," in Proc. Eur. Congr. Computational Methods Appl. Sci. Eng., Jul. 2004, pp. 1-18.
25. K. S. Kundert, J. K. White, and A. Sangiovanni-Vincentelli, Steady-State Methods for Simulating Analog and Microwave Circuits. Boston, MA: Kluwer, 1990.
26. L. O. Chua and A. Ushida, "Algorithms for computing almost periodic steady-state response of nonlinear systems to multiple input frequencies," IEEE Trans. Circuits Syst.-I: Fundam. Theory Appl., vol. 28, no. 10, pp. 953-971, Oct. 1981.
27. N. Borges de Carvalho and J. Pedro, "Novel artificial frequency mapping techniques for multi-tone simulation of mixers," in IEEE MIT-S Int. Microw. Symp. Dig., Phoenix, AZ, 2001, vol. 1, pp. 455-458-458.
28. B. Gustavsen and A. Semlyen, "Rational approximation of frequency responses by vector fitting," IEEE Trans. Power Del., vol. 14, no. 3, pp. 1052-1061, Jul. 1999.
29. A. E. Ruehli, A. C. Cangellaris, and H.-M. Huang, "Three test problems for the comparison of lossy transmission line algorithms," in Proc. 11th IEEE Topical Meet. Electrical Performance Electronic Packag., 2002, vol. 11, pp. 347-350.
30. K. Ogata, Modern Control Engineering, 3rd ed. Upper Saddle River, N.J.: Prentice Hall, 1997.
31. M. Abramowitz and I. Stegun, Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables. Washington: U.S. Govt. Print. Off., 1964.