Proceedings of the 2008 International Symposium on Physical Design 2008
DOI: 10.1145/1353629.1353634
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Robust gate sizing via mean excess delay minimization

Abstract: We introduce mean excess delay as a statistical measure of circuit delay in the presence of parameter variations. The β-mean excess delay is defined as the expected delay of the circuits that exceed the β-quantile of the delay, so it is always an upper bound on the β-quantile. However, in contrast to the β-quantile, it preserves the convexity properties of the underlying delay distribution. We apply the β-mean excess delay to the circuit sizing problem, and use it to minimize the delay quantile over the gate s… Show more

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Cited by 7 publications
(3 citation statements)
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“…The modeling of the gate sizing problem using the interconnect delay model can address the impact of process variations due to interconnects, but it may not accurately handle the variations in gate geometries. The delay models based upon the gate geometries such as the ones presented in Mahalingam et al [2008], Mani and Orshansky [2004], Bhardwaj and Vrudhula [2008], and [Cong et al 2008] tune the transistor parameters, and thus more closely model the variations in gate sizes. In Bhardwaj and Vrudhula [2008] the authors identify each variation component (L eff , W , V th , T ox ) as a Gaussian, and identify the mean and the variance values for each component.…”
Section: Mathematical Programming Methodsmentioning
confidence: 99%
“…The modeling of the gate sizing problem using the interconnect delay model can address the impact of process variations due to interconnects, but it may not accurately handle the variations in gate geometries. The delay models based upon the gate geometries such as the ones presented in Mahalingam et al [2008], Mani and Orshansky [2004], Bhardwaj and Vrudhula [2008], and [Cong et al 2008] tune the transistor parameters, and thus more closely model the variations in gate sizes. In Bhardwaj and Vrudhula [2008] the authors identify each variation component (L eff , W , V th , T ox ) as a Gaussian, and identify the mean and the variance values for each component.…”
Section: Mathematical Programming Methodsmentioning
confidence: 99%
“…Other works use statistics-based approaches to capture the uncertainty stemming from PV [16][17] [18]. The spatial correlations in L ef f inherent in the PV model, however, are too complex to be captured by simple statistical models.…”
Section: Gate Sizingmentioning
confidence: 99%
“…There are many papers that explore the benefits of adding statistical delay data into the optimization process [4], [5]- [10], and there are also a number of papers that use a statistical power measure [7], [11]- [15]. However, to the best of our knowledge, there is no publication that shows the benefits of using the statistical power measure alone.…”
mentioning
confidence: 99%