Computationally Efficient and Passive Transmission Line Interconnect Modelling for Single and Coupled Lines
Abstract
Two computationally efficient and passive interconnect transmission line models which expand upon methodologies currently used in the literature are discussed in this thesis. These approaches can be used to determine how a signal is transferred along wires in applications such as on-chip, PCB, and power line circuits. The first methodology uses a novel decoupling scheme with a Numerical Inverse Laplace Transform (NILT) to solve the far-end time domain voltage solution of large coupled Very Large Scale Integration (VLSI) interconnect structures. This methodology is significantly faster than SPICE simulations at a slight reduction in accuracy. The second methodology uses a modification of the Generalized Method of Characteristics (MoC) approach to solve for the near and far-end voltage and current measurements of single interconnect models. This methodology performs rational approximation fitting on key functions offline to ensure the model is passive by construction as long as certain conditions are ensured.