As operating frequency increases and device sizes shrink, the complexity of current state-of-the-art designs has increased dramatically. One of the main contributors to this complexity is high speed interconnects. At high frequencies, interconnects become dominant contributors to signal degradation, and their effects such as delays, reflections, and crosstalk must be accurately simulated. Time domain analysis of such structures is however very difficult because, at high frequencies, they must be modeled as distributed transmission lines which, after discretization, result in very large networks. In order to improve the simulation efficiency of such structures, model order reduction has been proposed in the literature. Conventional model order reduction methods based on Krylov subspace have a number of limitations in many practical simulation problems. This restricts their usefulness in general commercial simulators. / In this thesis, a number of new reduction techniques were developed in order to address the key shortcomings of current model order reduction methods. Specifically a new approach for handling macromodels with a very large number of ports was developed, a multi-level reduction and sprasification method was proposed for regular as well as parametric macromodels, and finally a new time domain reduction method was presented for the macromodeling of nonlinear parametric systems. Using these approaches, CPU speedups of 1 to 2 orders of magnitude were obtained.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.103269 |
| Date | January 2007 |
| Creators | Ma, Min. |
| Publisher | McGill University |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Format | application/pdf |
| Coverage | Doctor of Philosophy (Department of Electrical and Computer Engineering.) |
| Rights | © Min Ma, 2007 |
| Relation | alephsysno: 002666317, proquestno: AAINR38610, Theses scanned by UMI/ProQuest. |
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