Topics in model order reduction with applications to circuit simulation

Abstract

When integrating several components on a chip, one may be faced with the task of combining parts which were not manufactured in house. Oftentimes, no accurate model is available for these constituents. In this scenario, one may perform measurements of each device in the frequency range of interest. This information can then be employed to construct a reduced order model which can be used in a simulator which integrates the behaviour of each component and analyzes the entire chip. This paper addresses the problem of modeling a system based on measurements of its frequency response using the concept of tangential interpolation, together with the tool of the Loewner matrix pencil. This concept is particularly useful in the context of modeling components with a large number of input and output ports. After a thorough theoretical analysis which motivates the approach and makes connections to system theory, we present two numerical results which show its applicability to different systems arising in circuit simulation. © 2011 Springer Science+Business Media B.V.