Efficient Simulation of Lossy and Dispersive Transmission Lines

This paper presents an efficient method, based on the transfer function simulation method, for the transient analysis of lossy and dispersive transmission lines terminated by nonlinear circuits. This method combines the efficiency provided by rational function approximation with the accuracy of using modal decomposition. For the task of computing the convolution integral, the transfer function simulation method was found to be more straightforward for implementation and more efficient than the recursive convolution method, thus providing further improvement in simulation efficiency. A robust and efficient method for the analysis of frequency dependent (dispersive) transmission lines is also reported. This method has been implemented in AS/X, IBM production circuit simulator, and has been used routinely for the analysis of practical lossy and dispersive coupled transmission lines.

[1]  Vivek Raghavan,et al.  AWEsim: a program for the efficient analysis of linear(ized) circuits , 1990, 1990 IEEE International Conference on Computer-Aided Design. Digest of Technical Papers.

[2]  T. V. Nguyen Transient analysis of lossy coupled transmission lines using rational function approximations , 1993, Proceedings of IEEE Electrical Performance of Electronic Packaging.

[3]  C. S. Chang,et al.  Coupled lossy transmission line characterization and simulation , 1981 .

[4]  Ronald A. Rohrer,et al.  Interconnect simulation with asymptotic waveform evaluation (AWE) , 1992 .

[5]  R Matick,et al.  Transmission Lines for Digital and Communication Networks , 1969 .

[6]  M. Nakhla,et al.  Time-domain analysis of lossy coupled transmission lines , 1990 .

[7]  T.K. Sarkar,et al.  Time-domain response of multiconductor transmission lines , 1987, Proceedings of the IEEE.

[8]  Michel S. Nakhla,et al.  Addressing High-speed Interconnect Issues in Asymptotic Waveform Evaluation , 1993, 30th ACM/IEEE Design Automation Conference.

[9]  T. V. Nguyen Recursive convolution and discrete time domain simulation of lossy coupled transmission lines , 1994, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[10]  Rui Wang,et al.  S-Parameter Based Macro Model of Distributed-Lumped Networks Using Exponentially Decayed Polynomial Function , 1992, 30th ACM/IEEE Design Automation Conference.

[11]  D. Marquardt An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

[12]  Ernest S. Kuh,et al.  Transient simulation of lossy interconnects based on the recursive convolution formulation , 1992 .

[13]  W. T. Weeks,et al.  Resistive and inductive skin effect in rectangular conductors , 1979 .

[14]  H. W. Bode,et al.  Network analysis and feedback amplifier design , 1945 .

[15]  R. J. Bowman,et al.  Determining the Zeros and Poles of Linear Circuit Networks Using Function Approximation , 1987, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[16]  A. Semlyen,et al.  Fast and accurate switching transient calculations on transmission lines with ground return using recursive convolutions , 1975, IEEE Transactions on Power Apparatus and Systems.

[17]  Michel S. Nakhla,et al.  Mixed frequency/time domain analysis of nonlinear circuits , 1992, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[18]  Colin Gordon Time-domain simulation of multiconductor transmission lines with frequency-dependent losses , 1992, Proceedings 1992 IEEE International Conference on Computer Design: VLSI in Computers & Processors.

[19]  W. Weeks Calculation of Coefficients of Capacitance of Multiconductor Transmission Lines in the Presence of a Dielectric Interface , 1970 .