Reduced-order modeling of time-varying systems

IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing

Volumn 46, Issue 10, 1999, Pages 1273-1288

  Roychowdhury, Jaijeet ^a  

^a LUCENT TECHNOLOGIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; COMPUTER SOFTWARE; COMPUTER SYSTEMS PROGRAMMING; LINEAR SYSTEMS; MATHEMATICAL MODELS; NONLINEAR SYSTEMS;

REDUCED-ORDER MODELING; SOFTWARE PACKAGE SPICE; TIME VARYING PADE (TVP);

TIME VARYING SYSTEMS;

EID: 0033355379     PISSN: 10577130     EISSN: None     Source Type: Journal    
DOI: 10.1109/82.799678     Document Type: Article

References (40)

1. J. Aliaga, D. Boley, R. Freund, and V. Hernandez, "A Lanczos-type algorithm for multiple starting vectors," Bell Labs, Murray Hill, NJ, Numerical Analysis no. 96-18, 1996.
2. D. L. Boley, "Krylov space methods on state-space control models," IEEE Trans. Circuits Syst. II, vol. 13, pp. 733-758, June 1994.
3. H. G. Brachtendorf, G. Welsch, R. Laur, and A. Bunse-Gerstner, "Numerical steady state analysis of electronic circuits driven by multitone signals," in Electrical Engineering. New York: Springer-Verlag, 1996, vol. 79, pp. 103-112.
4. M. Celik and A. C. Cangellaris, "Simulation of dispersive multiconductor transmission lines by Fade approximation by the Lanczos process," IEEE Trans. Microwave Theory Tech., vol. 44, pp. 2525-2535, 1996.
5. _, "Simulation of multiconductor transmission lines using Krylov subspace order-reduction techniques," IEEE Trans. Computer-Aided Devices, vol. 16, pp. 485-496, 1997.
6. E. Chiprout and M. S. Nakhla, Asymptotic Waveform Evaluation. Norwell, MA: Kluwer, 1994.
7. L. O. Chua and P.-M. Lin, Computer-Aided Analysis of Electronic Circuits: Algorithms and Computational Techniques. Englewood Cliffs, NJ: Prentice-Hall, 1975.
8. A. Demir, "Floquet theory and nonlinear perturbation analysis for oscillators with differential-algebraic equations," in P roc. ICCAD, 1998.
9. I. Elfadel and D. Ling, "A block rational Arnold! algorithm for multipoint passive model-order reduction of multiport RLC networks," in Proc. ICCAD, Nov. 1997, pp. 66-71.
10. M. Farkas, Periodic Motions. New York: Springer-Verlag, 1994.
11. P. Feldmann and R. Freund, "Efficient linear circuit analysis by Fade approximation via the Lanczos process," IEEE Trans. Computer-Aided Design, vol. 14, pp. 639-649, May 1995.
12. _, "Reduced-order modeling of large linear subcircuits via a block Lanczos algorithm," in Proc. IEEE DAC, 1995, pp. 474-479.
13. _, "Circuit noise evaluation by Fade approximation based model-reduction techniques," in Proc. ICCAD, Nov. 1997, pp. 132-138.
14. _, "Circuit noise evaluation by Fade approximation based model-reduction techniques," Bell Laboratories, Murray Hill, NJ, Tech. Rep. ITD-97-31678G, 1997.
15. P. Feldmann, R. C. Melville, and D. Long, "Efficient frequency domain analysis of large nonlinear analog circuits," in Proc. IEEE CICC, May 1996, pp. 461-464.
16. R. Freund, "Reduced-order modeling techniques based on Krylov subspaces and their use in circuit simulation," Bell Labs, Tech. Rep. 11273-980217-02TM, 1998.
17. R. Freund, G. H. Golub, and N. M. Nachtigal, "Iterative solution of linear systems," Acta Numerica, pp. 57-100, 1991.
18. K. Gallivan, E. Grimme, and P. Van Dooren, "Asymptotic waveform evaluation via a lanczos method," Appl. Math. Lett., vol. 7, pp. 75-80, 1994.
19. E. J. Grimme, "Krylov projection methods for model reduction," Ph.D. dissertation, Elect. Eng. Dept., Univ. Illinois at Urbana-Champaign, 1997.
20. R. Grimshaw, Nonlinear Ordinary Differential Equations. Oxford, U.K.: Blackwell, 1990.
21. X. Huang, V. Raghavan, and R. A. Rohrer, "AWEsim: A program for the efficient analysis of linear(ized) circuits," in Proc. ICCAD, Nov. 1990, pp. 534-537.
22. I. M. Jaimoukha, "A general minimal residual Krylov subspace method for large-scale model reduction," IEEE Trans. Automat. Contr., vol. 42, pp. 1422-1427, 1997.
23. T. Lenahan, "Analysis of linear periodically time-varying (LPTV) systems," Bell Laboratories, Tech. Rep. ITD-97-32813Q, Nov. 1997.
24. R. C. Melville, P. Feldmann, and J. Roychowdhury, "Efficient multi-tone distortion analysis of analog integrated circuits," in Proc. IEEE CICC, pp. 241-244, May 1995.
25. S. Narayanan, "Transistor distortion analysis using volterra series representation," Bell System Tech. J., May/June 1967.
26. A. Odabasioglu, M. Celik, and L. T. Pileggi, "PRIMA: Passive reduced-order interconnect macromodeling algorithm," in Proc. ICCAD, Nov. 1997, pp. 58-65.
27. J. Phillips, "Model reduction of time-varying linear systems using approximate multipoint Krylov-subspace projectors," in Proc. ICCAD, Nov. 1998, pp.
28. L. T. Pillage and R. A. Rohrer, "Asymptotic waveform evaluation for timing analysis," IEEE Trans. Computer-Aided Design, vol. 9, pp. 352-366, Apr. 1990.
29. M. Rösch and K. J. Antreich, "Schnell stationäre simulation nichtlinearer Schaltungen im Frequenzbereich," AEÜ, vol. 46, no. 3, pp. 168-176, 1992.
30. J. Roychowdhury, "A unifying formulation for analysing multi-rate circuits," in Proc. NSF-IMA Workshop on Algorithmic Methods for Semiconductor Circuitry, 1997.
31. _, "Efficient methods for simulating highly nonlinear multi-rate circuits," in Proc. IEEE DAC, 1997.
32. _, "MPDE methods for efficient analysis of wireless systems," in Proc. IEEE CICC, 1998, pp. 451-454.
33. _, "Reduced-order modeling of linear time-varying systems," in Proc. ICCAD, 1998, pp. 53-61.
34. _, "Analyzing circuits with widely-separated time scales using numerical PDE methods," IEEE Trans. Circuits Syst. I, vol. 46, Sept. 1999.
35. J. Roychowdhury, D. Long, and P. Feldmann, "Cyclostationary noise analysis of large RF circuits with multitone excitations," IEEE J. Solid-State Circuits, vol. 33, pp. 324-336, Mar. 1998.
36. J. S. Roychowdhury, "SPICE3 Distortion analysis," M.S. thesis, Elect. Eng. Comput. Sci. Dept., Univ. Calif. Berkeley, Elec. Res. Lab., Memorandum no. UCB/ERL M89/48, Apr. 1989.
37. Y. Saad, Iterative Methods for Sparse Linear Systems. Boston, MA: PWS, 1996.
38. R. Telichevesky, K. Kundert, and J. White, "Efficient steady-state analysis based on matrix-free Krylov subspace methods," in Proc. IEEE DAC, pp. 480-484, 1995.
39. _, "Efficient AC and noise analysis of two-tone RF circuits," in Proc. IEEE DAC, pp. 292-297, 1996.
40. V. Volterra, Theory of Functional and of Integral and Integra-Differential Equations. New York: Dover, 1959.