Buffered clock tree synthesis for 3D ICs under thermal variations

  • Authors:
  • Jacob Minz;Xin Zhao;Sung Kyu Lim

  • Affiliations:
  • Synopsys Corporation, Mountain View, California;Georgia Institute of Technology, Atlanta, Georgia;Georgia Institute of Technology, Atlanta, Georgia

  • Venue:
  • Proceedings of the 2008 Asia and South Pacific Design Automation Conference
  • Year:
  • 2008

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Abstract

In this paper, we study the buffered clock tree synthesis problem under thermal variations for 3D IC technology. Our major contribution is the Balanced Skew Theorem, which provides a theoretical background to efficiently construct a buffered 3D clock tree that minimizes and balances the skew values under two distinct non-uniform thermal profiles. Our clock tree synthesis algorithm named BURITO (Buffered Clock Tree With Thermal Optimization) first constructs a 3D abstract tree under the wirelength vs via-congestion tradeoff. This abstract tree is then embedded, buffered, and refined under the given non-uniform thermal profiles so that the temperature-dependent skews are minimized and balanced. Experimental results show that our algorithms significantly reduce and perfectly balance clock skew values with minimal wirelength overhead.