An efficient algorithm for modeling spatially-correlated process variation in statistical full-chip leakage analysis

  • Authors:
  • Zuochang Ye;Zhiping Yu

  • Affiliations:
  • Tsinghua University;Tsinghua University

  • Venue:
  • Proceedings of the 2009 International Conference on Computer-Aided Design
  • Year:
  • 2009

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Abstract

Statistical full-chip leakage analysis considering spatial correlation is highly expensive due to its O(N2) complexity for logic circuits with N gates. Although efforts have been made to reduce the cost at the loss of accuracy, existing methods are still unsuitable for large-scale problems. In this paper we resolve the problem by re-formulating the computation to one that can be done efficiently using a well-developed technique that has been widely used in fast EM simulation and machine learning areas. The resulting algorithm is provably of O(N) or O(N log N) complexity with well-defined and easily-controlled error bounds. Experiments show that using the proposed method it is feasible to handle milliongate circuits within only a few minutes on a regular desktop PC. The corresponding error is less than 0.5% compared to exhausted computation that takes more than 3 days. The proposed method is about 300X faster and 10X more accurate compared to existing grid-approximation method.