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The intense drive for signal integrity has been at the forefront
ofrapid and new developments in CAD algorithms. Thousands
ofengineers, intent on achieving the best design possible, use
SPICE on a daily basis for analog simulation and general circuit
analysis. But the strained demand for high data speeds, coupled
with miniaturizationon an unprecedented scale, has highlighted the
previously negligible effects of interconnects; effects which are
not always handled appro priately by the present levels of SPICE.
Signals at these higher speeds may be degraded by long interconnect
lengths compared to the increasingly shorter sig nal rise times.
Interconnect structures can be diverse (pins, connectors, leads,
microstrips, striplines, etc. ) and present at any of the
hierarchical packaging levels: integrated circuits, printed circuit
boards, multi-chip modules or sys tem backplanes. Analysis of these
effects in any CAD package has become a necessity. Asymptotic
waveform evaluation (AWE) and other moment matching tech niques
have recently proven useful in the analysis of interconnect
structures and various networks containing large linear structures
with nonlinear termi nations. Previously, all that was available to
the designer was a full SPICE simulation or a quick but uncertain
timing estimation. Moment matching, used in linear systems analysis
as a method of model reduction, describes a method to extract a
small set of dominant poles from a large network. The information
is obtained from the Taylor series coefficients (moments) of that
system."
The intense drive for signal integrity has been at the forefront of
rapid and new developments in CAD algorithms. With increasing
demands for high signal speeds coupled with a decrease in feature
size, interconnect effects such as signal delay, distortion and
crosstalk become the dominant factor limiting overall performance
of VLSI systems. Although SPICE is used on a daily basis by many
engineers for analog simulation and general circuit analysis,
current versions of SPICE do not handle adequately the new emerging
challenges of interconnect effects. Moment-matching techniques,
such as asymptotic waveform evaluation, have recently proven useful
in the analysis of large interconnect structures containing
elements such as lossy coupled transmission lines with linear or
nonlinear terminations. At a CPU cost of a little more than one DC
analysis, these techniques are 2--3 orders of magnitude faster than
full simulation techniques such as FFT. Asymptotic Waveform
Evaluation presents an overview of the diverse algorithms and
applications of moment matching techniques. The material is
presented systematically and is supported by many examples.Issues
such as sensitivity analysis and three-dimensional analysis are
also covered. Asymptotic Waveform Evaluation will be of interest to
engineers, students and researchers involved in the development and
study of circuit simulation as well as interconnect analysis. It
will also interest design engineers who are involved in dealing
with high-speed issues, and graduate students who are active in the
development of CAD tools for electronic systems.
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