Signal Propagation on Interconnects pp 1-11 | Cite as
Analysis of Frequency-Dependent Transmission Lines Using Rational Approximation and Recursive Convolution
Abstract
In this study, we present an accurate and efficient analysis technique of frequency-dependent transmission line system using scattering parameters. First, low-order rational approximations of the scattering parameters are derived over a wide frequency range using robust interpolation technique. An appropriate reference system is also chosen to make the scattering waveforms smooth and simple. Then, the low-order rational approximations of the scattering parameters are directly implemented in conventional time-domain simulator using recursive convolution. To validate the accuracy and the efficiency of the method, the transient analyses of a coaxial cable with skin-effect parameters and an interconnect network with a component characterized by measured scattering parameters are presented.
Keywords
Transmission Line Rational Approximation Scatter Parameter Reference Impedance Lossless Transmission LinePreview
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References
- 1.F. H. Branin, “Transient analysis of lossless transmission lines,” Proceedings of IEEE, vol. 55, November 1967, pp. 2012–2013.CrossRefGoogle Scholar
- 2.N. Orhassovic, and V. K. Tripathi, “Nonlinear transient analysis of coupled RLGC lines by the method of characteristics,’ International Journal of Microwave and Millimeter-Wave CAE. vol. 2. no. 2. 1992.Google Scholar
- 3.A. Djordjevic, T. Sarkar, and R. Harrington. “Analysis of lossy transrrussion lines with arbitrary nonlinear rerminations,” IEEE Transactions on Microwave Theory and Technology, vol. 34, no. 6, June 1986.Google Scholar
- 4.E. Schutt-Aint and R Mitira,” Nonlinear transient analysts of coupled transmission tines,” IEEE Transactions on Circuirs and Systems, vol. 36, no. 7, pp. 959–967, July 1989.Google Scholar
- 5.D. Winklesieia, M. B. StccF, imd R. Pomcrleau, “Simulation of arbitrary tr4msssiisaion line networks with nonlinear terminations, ” IEEE Transactions on Circuits and Systems. vol. 38, no. 4. pp. 418–422, April 1991.Google Scholar
- 6.J. Bracken, V. Raghavan, and R. Rohrer, “Interconnect simulation with asymptotic waveform evaluation (AWE),” IEEE Transactions on Circuits and Systems, vol. CAS-39, no, II, pp. 869–878, November 1992.Google Scholar
- 7.E. Chiprout and M. S. Nakhla, “Transient waveform estimation of high-speed MCM networks using complex frequency hopping,” in Proceedings of Multi-Chip Module Conference ( MCMC ). March 1993. pp. 134–139.Google Scholar
- 8.M. Celik and A. C. Cangellaris, “Simulation of dispersive multiconductor transmission Lines by Fade approximation via the Lanczos process,” IEEE Transacrions on Microwave Theory and Technology, vol. 44, no. 12, pp. 2525–2535, December 1996.CrossRefGoogle Scholar
- 9.W. T. Beyene. “Model-order redoction techniques for circuits and interconnects simulation,” Ph.D. dissertation, Department of Electrical and Computer Engincenng, University of Illinoii at Urbana- Champaign, 1997.Google Scholar
- 10.G. W Stewart, Introduction so Morris Computations. NY: Academic Press, Inc., 1973.Google Scholar
- 11.D. B. Kuznetsov and I. E. Sehutt-Aine, “Optimal transient simulation of transmission lines,” IEEE Tran.sacrions on Circuits and Systems-?: Fundamental Theory and Applications, vol. 43, no. 2, February 1996.Google Scholar
- 12.S. 1.-in and E. S. Koh, “Transient simulation of lossy interconnects based on the recursive convolution formulation,” IEEE Transactions on Circuits and Systems-I. vol. 39, no, 11, pp. 879–892, November 1992.Google Scholar
- 13.1.B. Schuts-Aind, “Static Analysis of V Transmission Lines,” IEEE Transactions on Microwave Theory and Techniques. vol. 40, no. 4, pp. 2151–2156, April 1992.Google Scholar