TANG Min, MA Xi-kui. A Precise Integration Algorithm for Transient Simulation of Interconnects in High-Speed VLSI[J]. Acta Electronica Sinica, 2004, 32(5): 787-790.
TANG Min, MA Xi-kui. A Precise Integration Algorithm for Transient Simulation of Interconnects in High-Speed VLSI[J]. Acta Electronica Sinica, 2004, 32(5): 787-790.DOI:
The precise integration method is employed to analyze the transient response of frequency-dependent interconnects.This method starts from frequency-domain telegrapher's equations and the time-domain equations including convolutions are obtained by inverse Laplace transform.After the discretization with respect to the space coordinate(
x
)
the spatial derivatives are eliminated and replaced by finite differences
and then
the precise integration method is used.The truncation error is efficiently decreased by interlacing the voltage and current nodes along the
x
-axis.This is in contrast to the classical methods where the samples of both voltages and currents are taken at the same points.In addition
traditional numerical convolution is replaced by recursion algorithm in the computation of inhomogeneous items in the ord
inary differential equations
such that the computational efficiency rises greatly.This method needs not decouple the telegrapher's equations for multiconductor transmission lines
and is also suitable to nonuniform coupled transmission lines.Numerical examples are presented to demonstrate the accuracy and stability of the proposed method.