A Comprehensive Comparison of Contemporary Parameterized Model Order Reduction Techniques

In current state-of-art complex designs, interconnects become the dominant factor affecting the performance of high speed integrated circuits. Signal integrity issues at high frequencies demand a reasonable consideration during early stages of the design cycle. The evaluation of performance of such interconnects often requires solutions to large sets of equations, the computation of which is CPU expensive. The need to improve the computational cost of large systems of equations brought about the development of model order reduction (MOR) techniques. However, MOR techniques by themselves do not consider process and parameter variations that cause inevitable changes in performance at high frequencies. To deal with such performance-accuracy issues, parameterized model order reduction (PMOR) models were introduced. However, there is no significant comparative study of these methods available till today in the literature. In this thesis, a comprehensive comparative analysis is presented for contemporary PMOR techniques considering the detail characteristics of each method.