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Wire-sizing optimization with inductance consideration using transmission-line model

机译:考虑使用传输线模型的电感的线径优化

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Because of the inaccuracy of the Elmore delay model and its inability to handle inductance, it is necessary to use a more accurate delay model in wire-sizing optimization. This paper presents continuous wire-sizing optimization by using a three pole based delay model. Our work is focused on exponential wire shape f(x)=ae/sup -bx/, i.e, we determine a and b such that either delay or area is minimized. Fringing capacitance and inductance, which have been neglected in previous work on wire sizing, are taken into consideration in the delay model. Expressions involved in calculating all three poles are derived with the help of the Picard-Carson method. Since these expressions are all analytical, the delay calculation is very efficient. In our experiments, the delay model is found to be far more accurate than the Elmore delay model. We also observe that in determining the optimal shape that minimizes delay, the Elmore delay model performs as well as our delay model. However, in determining the optimal shape that minimizes area subject to a delay bound, the Elmore delay model performs much worse than our delay model.
机译:由于Elmore延迟模型的不精确性以及无法处理电感,因此在线径优化中必须使用更精确的延迟模型。本文提出了基于三极点的延迟模型的连续线径优化。我们的工作集中在指数线形状f(x)= ae / sup -bx /上,即,我们确定a和b使得延迟或面积最小。延迟模型中考虑了先前在导线尺寸确定中忽略的边缘电容和电感。借助Picard-Carson方法,可以得出涉及计算所有三个极点的表达式。由于这些表达式都是解析性的,因此延迟计算非常有效。在我们的实验中,发现延迟模型比Elmore延迟模型精确得多。我们还观察到,在确定最小化延迟的最佳形状时,Elmore延迟模型的性能与我们的延迟模型相同。但是,在确定使延迟边界最小化的最佳形状时,Elmore延迟模型的性能要比我们的延迟模型差得多。

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