Publica
Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. Interval analysis of linear analog circuits
 IEEE Computer Society; Gesellschaft für Angewandte Mathematik und Mechanik GAMM; International Association for Mathematics and Computers in Simulation IMACS: 12th GAMMIMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics, SCAN 2006 : Duisburg, Germany, September 2629, 2006 Los Alamitos, Calif.: IEEE Computer Society Press, 2006 ISBN: 9780769528212 9 pp. 
 International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics (SCAN) <12, 2006, Duisburg> 

 English 
 Conference Paper 
 Fraunhofer ITWM () 
Abstract
Reliable methods for the analysis of toleranceaffected analog circuits are of great importance in nowadays microelectronics. It is impossible to produce circuits with exactly those parameter specifications proposed in the design process. Interval arithmetic can be used to obtain a worstcase analysis of the influence of component tolerances. This paper focuses on a new approach for intervalvalued frequencyresponse analysis of linear analog circuits, which consist of current and voltage sources as well as resistors, capacitances, inductances, and all variants of controlled sources. Part and parcel of this strategy is the handling of fillin patterns for those parameters related to uncertain components. Such systems can efficiently be solved by successive application of the ShermanMorrison formula. The approach is also extended to complexvalued systems from frequencydomain analysis of linear circuits. Crude bounds can be obtained by treating real and imaginary part as different variables. The latter is improved by considering the correlations in order to obtain tighter enclosures of the solution.