This paper outlines a preliminary application of Taylor models to the worst-case analysis of transmission lines with bounded uncertain parameters. Taylor models are an algebraic technique that represents uncertain quantities in terms of a Taylor expansion complemented by an interval remainder encompassing approximation and truncation errors. The Taylor model formulation is propagated from input uncertainties to output responses through a suitable redefinition of the algebraic operations involved in their calculation. While the Taylor expansion defines an analytical and parametric model of the response, the remainder provides a conservative bound inside which the true value is guaranteed to lie. The approach is validated against the SPICE simulation of a coupled stripline and shows promising accuracy and efficiency.
Application of Taylor models to the worst-case analysis of stripline interconnects / Manfredi, Paolo; Trinchero, Riccardo; Canavero, Flavio; Stievano, IGOR SIMONE. - ELETTRONICO. - (2016), pp. 1-4. (Intervento presentato al convegno 2016 IEEE 20th Workshop on Signal and Power Integrity (SPI) tenutosi a Torino, I nel May 8-11, 2016) [10.1109/SaPIW.2016.7496302].
Application of Taylor models to the worst-case analysis of stripline interconnects
Manfredi, Paolo;Trinchero, Riccardo;CANAVERO, Flavio;STIEVANO, IGOR SIMONE
2016
Abstract
This paper outlines a preliminary application of Taylor models to the worst-case analysis of transmission lines with bounded uncertain parameters. Taylor models are an algebraic technique that represents uncertain quantities in terms of a Taylor expansion complemented by an interval remainder encompassing approximation and truncation errors. The Taylor model formulation is propagated from input uncertainties to output responses through a suitable redefinition of the algebraic operations involved in their calculation. While the Taylor expansion defines an analytical and parametric model of the response, the remainder provides a conservative bound inside which the true value is guaranteed to lie. The approach is validated against the SPICE simulation of a coupled stripline and shows promising accuracy and efficiency.File | Dimensione | Formato | |
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https://hdl.handle.net/11583/2645304
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