| As the rise times of digital signals drop into subnanosecond range, the effects of off-chip circuitry become important. It is becoming increasingly essential to model frequency-dependent signal integrity effects that can have considerable impact on the performance and functionality of a high-speed design. However, with the increasing frequency and complexity, it is not always possible to find an analytical model for such high frequency passive components such as high-speed packages, vias, connectors, nonuniform transmission lines and also on-chip passive components, such as inductors and transformers. As a result, these passive components are generally characterized in a practical environment either through measurements or from the physical layout using rigorous full-wave electromagnetic simulations.;This thesis proposes an algorithm to approximate the tabulated data accurately with higher order approximations over a wide frequency range, without suffering from the numerical ill-conditioning problem. (Abstract shortened by UMI.). |
