Signal degradation through module pins in VLSI packaging
IBM Journal of Research and Development
RC interconnect synthesis—a moment fitting approach
ICCAD '94 Proceedings of the 1994 IEEE/ACM international conference on Computer-aided design
Delay analysis of VLSI interconnections using the diffusion equation model
DAC '94 Proceedings of the 31st annual Design Automation Conference
Delay analysis of the distributed RC line
DAC '95 Proceedings of the 32nd annual ACM/IEEE Design Automation Conference
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Calculation of ramp response of lossy transmission lines using two-port network functions
ISPD '98 Proceedings of the 1998 international symposium on Physical design
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We give new methods for calculating the time-domain response for a finite-length distributed RC line that is stimulated by a ramp input. The following are our contributions. First, we obtain the solution of the diffusion equation for a seminfinite distributed RC line with ramp input. We then present a general and, in the limit, exact approach to compute the time-domain response for finite-length RC lines under ramp input by summing distinct diffusions starting at either end of the line. Next, we obtain analytical expressions for the finite time-domain voltage response for an open-ended finite RC line and for a finite RC line with capacitive load. The delay estimates using this method are very close to SPICE-computing delays. Finally, we present a general recursive equation for computing the higher-order diffusion components due to reflections at the source and load ends. Future work extends our method to response computations in general interconnection trees by modeling both reflection and transmission coefficients at discontinuities.