Title :
Two-step order reduction of IC conducted emission models
Author :
Radic-Weissenfeld, Lj ; Ludwig, S. ; Mathis, W. ; John, W.
Author_Institution :
Inst. of Electromagn. Theor., Leibniz Univ. Hannover, Hannover
Abstract :
This paper addresses the order reduction of IC conducted emission models. These models are mathematically described by singular matrices of high order. Usually the order of the matrices can be reduced by the multipoint Krylov based order reduction. To achieve an even lower order we introduce a two step order reduction. The first step is the order reduction method based on the multipoint approximation of system matrices by utilizing the Krylov subspace. The second step is based on the rejection of the dispensable part of a system. To recognize the remaining dispensable system part Lyapunov equations are used. Thus this paper introduces the efficient solutions of the Lyapunov equations. With two-step order reduction a high speed-up in frequency analysis can be achieved.
Keywords :
Lyapunov matrix equations; integrated circuits; IC conducted emission models; Lyapunov equations; frequency analysis; multipoint Krylov based order reduction; reduction method; singular matrices; system matrices; two step order reduction; Electromagnetic modeling; Equations; Frequency; Integrated circuit modeling; Mathematical model; Matrix decomposition; Numerical simulation; Signal processing algorithms; Sparse matrices; Transfer functions;
Conference_Titel :
Electromagnetic Compatibility and 19th International Zurich Symposium on Electromagnetic Compatibility, 2008. APEMC 2008. Asia-Pacific Symposium on
Conference_Location :
Singapore
Print_ISBN :
978-981-08-0629-3
Electronic_ISBN :
978-981-08-0629-3
DOI :
10.1109/APEMC.2008.4559846