Title :
Optimization-based Wideband Basis Functions for Efficient Interconnect Extraction
Author :
Hu, Xin ; Moselhy, Tarek ; White, Jacob ; Daniel, Luca
Author_Institution :
Ropes & Gray LLP, Boston, MA
Abstract :
This paper introduces a technique for the numerical generation of basis functions that are capable of parameterizing the frequency-variant nature of cross-sectional conductor current distributions. Hence skin and proximity effects can be captured utilizing much fewer basis functions in comparison to the prevalently-used piecewise-constant basis functions. One important characteristic of these basis functions is that they only need to be pre-computed once for a frequency range of interest per unique conductor cross-sectional geometry, and they can be stored off-line with a minimal associated cost. In addition, the robustness of these frequency-independent basis functions is enforced using an optimization routine. It has been demonstrated that the cost of solving a complex interconnect system can be reduced by a factor of 170 when compared to the use of piecewise-constant basis functions over a wide range of operating frequencies
Keywords :
conductors (electric); current distribution; functions; integrated circuit interconnections; optimisation; skin effect; basis functions numerical generation; cross-sectional conductor current distributions; interconnect system; optimization-based wideband basis functions interconnect extraction; piecewise-constant basis functions; proximity effects; skin effects; Computational efficiency; Conductors; Cost function; Current distribution; Frequency; Impedance; Proximity effect; Robustness; Skin; Wideband;
Conference_Titel :
Design, Automation & Test in Europe Conference & Exhibition, 2007. DATE '07
Conference_Location :
Nice
Print_ISBN :
978-3-9810801-2-4
DOI :
10.1109/DATE.2007.364458