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Optimally minimizing overlay violation in self-aligned double patterning decomposition for row-based standard cell layout in polynomial time

机译:多项式时间中基于行标准单元布局的自对准双图案化分解中的自对准双图案化分解中的最佳叠加最小化

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Self-aligned double patterning is one of the most promising double patterning techniques for sub-20nm nodes. As in any multiple patterning techniques, layout decomposition is the most important problem. In SADP decomposition, overlay is among the most primary concerns. Most of the existing works target at minimizing the overall overlay, while others totally forbid the overlay. On the other hand, most of the works either rely on exponential time methods, or apply heuristic that cannot guarantee to find a solution. In this paper, we consider the SADP decomposition problem in row-based standard cell layout, where the overlay violations are minimized. Although SADP decomposition has been shown to be NP-hard in general, we showed that it can be solved in polynomial time when the layout is row-based standard cells. We propose a polynomial time optimal algorithm that finds a decomposition with minimum overlay violations. The efficiency of our method is further demonstrated by the experimental results.
机译:自对准双图案是子20nm节点最有希望的双重图案化技术之一。与任何多种图案化技术一样,布局分解是最重要的问题。在SADP分解中,覆盖层是最主要的问题之一。最多的现有工程目标在最大限度地减少整体叠加层时,而其他工件则禁止覆盖物。另一方面,大多数作品依赖于指数时间方法,或应用无法保证找到解决方案的启发式。在本文中,我们考虑基于行的标准单元布局中的SADP分解问题,其中覆盖违规是最小化的。虽然SADP分解已经被证明是NP - 但是,我们表明,当布局是基于行的标准单元时,它可以在多项式时间中解决。我们提出了一种多项式时间最佳算法,其发现具有最小覆盖违规的分解。通过实验结果进一步证明了我们的方法的效率。

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