On the dynamic equations of linear multiconductor transmission lines with terminal nonlinear multiport resistors

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 45, Issue 8, 1998, Pages 812-829

  Maffucci, A ^a   Miano, G ^a  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

Distributed circuits; Existence and uniqueness of solutions; Multiconductor transmission lines; Normal forms

Indexed keywords

ALGEBRA; CONVOLUTION; ELECTRIC LINES; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; RESISTORS; TRANSMISSION ELECTRON MICROSCOPY; TRANSMISSION LINE THEORY; TRANSMISSION NETWORK CALCULATIONS;

LINEAR MULTICONDUCTOR TRANSMISSION LINES; RECURSIVE CONVOLUTION RELATIONS; TERMINAL NONLINEAR MULTIPORT RESISTORS; VOLTERRA INTEGRAL EQUATIONS;

DISTRIBUTED PARAMETER NETWORKS;

EID: 0032142435     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.704821     Document Type: Article

References (38)

1. A. R. Djordjevic, T. K. Sarkar, and R. F. Harrington, "Time-domain response of multiconductor transmission lines," Proc. IEEE, vol. 75, pp. 743-764, 1987.
2. W. W. M. Dai, "Guest Editor, Special issue on simulation, modeling, and electrical design of high-speed and high-density interconnects," IEEE Trans. Circuits Syst. I, vol. 39, Nov. 1992.
3. A. Deutsch et al, "High-speed signal propagation on lossy transmission lines," IBM J. Res. Develop., vol. 34, pp. 601-615, 1990.
4. I. Maio, S. Pignari, and F. Canavero, "Influence of the line characterization on the transient analysis of nonlinearly loaded lossy transmission lines," IEEE Trans. Circuits Syst. I, vol. 41, pp. 197-209, 1994.
5. C. Gordon, T. Blazeck, and R. Mittra, "Time-domain simulation of multiconductor transmission lines with frequency-dependent losses," IEEE Trans. Computer-Aided Design, vol. 11, pp. 1372-1387, 1992.
6. Q. Yu and S. Kuh, "An accurate transmission line simulator for highspeed interconnects," IEEE Trans. Circuits Syst. I, vol. 43, pp. 200-208, 1996.
7. E. C. Chang and S. Kang, "Transient simulation of lossy coupled transmission lines using iterative linear least square fitting and piecewise recursive convolution," IEEE Trans. Circuits Syst. I, vol. 43, pp. 923-932, 1996.
8. O. Heaviside, Electromagnetic Theory. London, U.K.: E.&F.N. SPON, 1951.
9. S. A. Schelkunoff, "Conversion of Maxwell's equations into generalized telegraphists's equations," Bell Syst. Tech. J., vol. 34, pp. 995-1043, 1955.
10. L. A. Pipes, "Matrix theory of multiconductor transmission lines," Phil. Mag., vol. 24, pp. 97-113, July 1937.
11. M. Fosséprez, "Foreword," by M. Haslet, in Non-Linear Circuits. New York: Wiley, 1992.
12. E. Zeidler, Nonlinear Functional Analysis and its Applications Vol.1. New York: Springer-Verlag, 1990.
13. G. I. Marcuk, Methods of Numerical Mathematics. New York: Springer-Verlag, 1975.
14. A. N. Willson, Jr., Nonlinear Networks: Theory and Analysis. New York: IEEE Press, 1974.
15. M. Hasler and J. Neirynck, Nonlinear Circuits. Norwood: Artech House, 1986.
16. V. I. Smirnov, A Course Of Higher Mathematics. Oxford, U.K.: Pergamon, 1964.
17. R. Courant and D. Hubert, Methods of Mathematical Physics. New York: Wiley, 1989.
18. V. P. Michajlov, Partial Differential Equations. Moscow, Russia: Mir, 1978.
19. G. Miano, "Uniqueness of solution for linear transmission lines with nonlinear terminal resistors," IEEE Trans. Circuits Syst. I, vol. 44, pp. 569-582, July 1997.
20. R .B. Adler, L. J. Chu, and R. M. Fano, Electromagnetic Energy Transmission and Radiation. New York: Wiley, 1960, pp. 535-548.
21. C. Wei, R. F. Harrington, J. R. Mautz, and T. K. Sarkar, "Multiconductor transmission lines in multilayered dielectric media," IEEE Trans. Microwave Theory Tech., vol. MTT-32, pp. 439-449, 1984.
22. J. A. Stratton, Electromagnetic Theory. New York: McGraw-Hill, 1941.
23. F. H. Branin, Jr, "Transient analysis of lossless transmission lines," Proc. IEEE, vol. 55, pp. 2012-2013, Nov. 1967.
24. K. D. Marx, "Propagation modes, equivalent circuits, and characteristic terminations for multiconductor transmission lines with inhomogeneous dielectrics," IEEE Trans. Microwave Theory Tech., vol. MTT-21, pp. 450-457, 1973.
25. F. F.Wu and C. A. Desoer, "Global inverse function theorem," IEEE Trans. Circuit Theory, vol. CT-19, pp. 199-201, 1972.
26. L. O. Chua and D. N. Green, "Graph-theoretic properties of dynamic nonlinear networks," IEEE Trans. Circuits Systems, vol. CAS-23, pp. 292-312, 1976.
27. T. Ohtsuki and H. Watanabe, "State-variable analysis of RLC networks containing nonlinear coupling elements," IEEE Trans. Circuit Theory, vol. CT-16, pp. 26- -38, 1969.
28. A. N. Willson, Jr., "Some aspects of the theory of nonlinear networks," Proc. IEEE, vol. 61, pp. 1092-1113, 1973.
29. P. Linz, Analytical and Numerical Methods for Volterra Equations. Philadelphia, PA: SIAM, 1985.
30. H. Brunner and P. J. van der Houwen, The Numerical Solution of Volterra Equations. Amsterdam, The Netherlands: North-Holland, 1986.
31. R. K. Braiton and J. K. Moser, "A theory of nonlinear networks," Quart. Appl. Math., vol. 12, pp. 1-33; 81-104, Apr. 1964.
32. L. O. Chua and R. A. Rohrer, "On the dynamic equations of a class of nonlinear RLC networks," IEEE Trans. Circuit Theory, vol. CT-12, pp. 475-489, 1965.
33. M. M. Green and A. N. Willson, Jr., "How to identify unstable DC operating points," IEEE Trans. Circuits Syst. I, vol. 39, pp. 820-832, Oct. 1992.
34. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers. New York: McGraw-Hill, 1961
35. A. S. Deif, Advanced Matrix Theory. New York: John Wiley, 1982.
36. E. Schrödinger, "Quantisierung als Eigenwertproblem," A. Phys., vol. 80, pp. 437-490, 1926.
37. V. Lakshmikantham and S. Leela, Differential and Integral Inequalities. New York: Academic, 1969
38. A. Maffucci and G. Miano, "Irregular terms in the impulse response of a multiconductor lossy transmission line," IEEE Trans. Circuits Syst. I, to be published.