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.
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References
F. H. Branin, “Transient analysis of lossless transmission lines,” Proceedings of IEEE, vol. 55, November 1967, pp. 2012–2013.
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.
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.
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.
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.
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.
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.
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.
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.
G. W Stewart, Introduction so Morris Computations. NY: Academic Press, Inc., 1973.
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.
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.
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.
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Beyene, W.T., Schutt-Ainé, J.E. (1998). Analysis of Frequency-Dependent Transmission Lines Using Rational Approximation and Recursive Convolution. In: Grabinski, H., Nordholz, P. (eds) Signal Propagation on Interconnects. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6512-0_1
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DOI: https://doi.org/10.1007/978-1-4757-6512-0_1
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