UCSC-CRL-94-09: TRANSIENT ANALYSIS OF COUPLED TRANSMISSION LINES USING SCATTERING PARAMETER BASED MACROMODEL

04/01/1994 09:00 AM
Computer Engineering
As the system clock speed increases, crosstalk becomes one of the major sources of noise which can limit the performance of high-speed digital systems in addition to delay and ringing. The congruence transform- ation can be used to decouple a coupled transmission-line system. In this paper, we extended the scattering parameter based macromodel to include the congruence transformation to analyze the crosstalk in the coupled transmission-line systems. After decouple the n coupled transmission lines using the congruence transformation, the computation of scattering matrix of the coupled transmission lines then becomes those of the scattering matrix of the congruence transformers and those of the n decoupled single transmission lines. A very simple scattering parameter description of the congruence transformer for coupled lossless transmission lines is derived. It has been extended to handle the coupled lossy transmission lines. Unlike some of the previous methods [14] [16] which only consider the coupling between immediate adjacent lines, our method takes into account the coupling among all lines. We also present the results obtained from our simulator as well as those obtained from the SPICE-like simulators (for example: SPICE3e2 and ASTAP) and state- of-the-art moment-matching simulators (for example: SWEC and Coffee).

UCSC-CRL-94-09