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Computational Analysis Of Antipode Algorithms For The Output Feedback Hopf Algebra, Lance Berlin
Computational Analysis Of Antipode Algorithms For The Output Feedback Hopf Algebra, Lance Berlin
Electrical & Computer Engineering Theses & Dissertations
The feedback interconnection of two systems written in terms of Chen-Fliess series can be described explicitly in terms of the antipode of the output feedback Hopf algebra. At present, there are three known computational approaches to calculating this antipode: the left coproduct method, the right coproduct method, and the derivation method. Each of these algorithms is defined recursively, and thus becomes computationally expensive quite quickly. This motivates the need for a more complete understanding of the algorithmic complexity of these methods, as well as the development of new approaches for determining the Hopf algebra antipode. The main goals of this …
Addressing Computational Complexity Of High Speed Distributed Circuits Using Model Order Reduction, Ehsan Rasekh
Addressing Computational Complexity Of High Speed Distributed Circuits Using Model Order Reduction, Ehsan Rasekh
Electronic Thesis and Dissertation Repository
Advanced in the fabrication technology of integrated circuits (ICs) over the last couple of years has resulted in an unparalleled expansion of the functionality of microelectronic systems. Today’s ICs feature complex deep-submicron mixed-signal designs and have found numerous applications in industry due to their lower manufacturing costs and higher performance levels. The tendency towards smaller feature sizes and increasing clock rates is placing higher demands on signal integrity design by highlighting previously negligible interconnect effects such as distortion, reflection, ringing, delay, and crosstalk. These effects if not predicted in the early stages of the design cycle can severely degrade circuit …