Title :
Tolerance-based control mechanism for approximate symbolic analysis
Author :
Kolka, Zdenek ; Biolek, Dalibor ; Biolkova, Viera ; Dobes, Josef
Author_Institution :
Fac. of Electr. Eng. & Commun., Brno Univ. of Technol., Brno, Czech Republic
Abstract :
The paper deals with an enhanced control mechanism for approximate symbolic analysis of the Simplification-Before-Generation class. A traditional approach consists in the evaluation of errors caused by simplification only for the nominal parameters of network components. The proposed procedure uses sensitivities to estimate the worst-case error due to component tolerances, i.e. the expression validity is checked over the tolerance interval of component parameters. A fast computational algorithm based on the Sherman-Morrison formula is used. The numerical cost is approximately given by two matrix inversions per one control-frequency point and one simplification step.
Keywords :
approximation theory; error analysis; matrix inversion; sensitivity analysis; symbol manipulation; tolerance analysis; Sherman-Morrison formula; approximate symbolic analysis; component tolerance interval; computational algorithm; control frequency point; expression validity; matrix inversion; network component parameter; numerical cost; simplification before generation class; tolerance based control mechanism; worst case error estimation; Analog integrated circuits; Approximation methods; Conferences; Frequency control; Integrated circuit modeling; Numerical models; Sensitivity; error prediction; linear circuits; simplification; symbolic analysis; worst-case analysis;
Conference_Titel :
AFRICON, 2011
Conference_Location :
Livingstone
Print_ISBN :
978-1-61284-992-8
DOI :
10.1109/AFRCON.2011.6072093
