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Application of Taylor models to the worst-case analysis of stripline interconnects

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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 redef nition of the algebraic operations involved in their calculation. While the Taylor expansion def nes 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 eff ciency.
Keywords
Parametric simulation, IBCN, multiconductor transmission lines, Taylor models, tolerance analysis, uncertainty, worst-case analysis, POLYNOMIAL CHAOS

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Citation

Please use this url to cite or link to this publication:

MLA
Manfredi, Paolo, et al. “Application of Taylor Models to the Worst-Case Analysis of Stripline Interconnects.” 2016 IEEE 20TH WORKSHOP ON SIGNAL AND POWER INTEGRITY (SPI), 2016, pp. 1–4.
APA
Manfredi, P., Trinchero, R., Canavero, F., & Stievan, I. (2016). Application of Taylor models to the worst-case analysis of stripline interconnects. 2016 IEEE 20TH WORKSHOP ON SIGNAL AND POWER INTEGRITY (SPI), 1–4.
Chicago author-date
Manfredi, Paolo, R Trinchero, FG Canavero, and IS Stievan. 2016. “Application of Taylor Models to the Worst-Case Analysis of Stripline Interconnects.” In 2016 IEEE 20TH WORKSHOP ON SIGNAL AND POWER INTEGRITY (SPI), 1–4.
Chicago author-date (all authors)
Manfredi, Paolo, R Trinchero, FG Canavero, and IS Stievan. 2016. “Application of Taylor Models to the Worst-Case Analysis of Stripline Interconnects.” In 2016 IEEE 20TH WORKSHOP ON SIGNAL AND POWER INTEGRITY (SPI), 1–4.
Vancouver
1.
Manfredi P, Trinchero R, Canavero F, Stievan I. Application of Taylor models to the worst-case analysis of stripline interconnects. In: 2016 IEEE 20TH WORKSHOP ON SIGNAL AND POWER INTEGRITY (SPI). 2016. p. 1–4.
IEEE
[1]
P. Manfredi, R. Trinchero, F. Canavero, and I. Stievan, “Application of Taylor models to the worst-case analysis of stripline interconnects,” in 2016 IEEE 20TH WORKSHOP ON SIGNAL AND POWER INTEGRITY (SPI), Turin, Italy, 2016, pp. 1–4.
@inproceedings{8036888,
  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 redef nition of the algebraic operations involved in their calculation. While the Taylor expansion def nes 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 eff ciency.}},
  author       = {{Manfredi, Paolo and Trinchero, R and Canavero, FG and Stievan, IS}},
  booktitle    = {{2016 IEEE 20TH WORKSHOP ON SIGNAL AND POWER INTEGRITY (SPI)}},
  isbn         = {{978-1-5090-0349-5}},
  keywords     = {{Parametric simulation,IBCN,multiconductor transmission lines,Taylor models,tolerance analysis,uncertainty,worst-case analysis,POLYNOMIAL CHAOS}},
  language     = {{eng}},
  location     = {{Turin, Italy}},
  pages        = {{1--4}},
  title        = {{Application of Taylor models to the worst-case analysis of stripline interconnects}},
  year         = {{2016}},
}

Web of Science
Times cited: