Voltage and Temperature Scalable Logic Cell Leakage Models Considering Local Variations Based on Transistor Stacks

We propose a logic gate leakage model based on transistor stacks, which includes local transistor level process variation parameters along with global process variation parameters and supply and temperature. The stack models include both subthreshold as well as gate leakage and consider the input vector state. We examine cells from an industrial standard cell library and find that most cells can be modeled with simple stacks, which have a linear chain of transistors. However some gates like XOR, Majority or Muxes need complex stacks and we show how these can be modeled. Our experiments show that only 18 different stack models are needed to predict the leakage of all gates in this industrial library. Re-use of the same models for pass transistor logic circuits and multi-finger transistors is also demonstrated. We explicitly include voltage and temperature into the models to support joint estimation of power supply IR drops and leakage currents, as well as enable analysis for dynamic voltage scaling applications. We use artificial neural networks to create unified models which include global and local process variations, supply voltage in the range of V DD /2- V DD and temperature in the range 0-100 °C. These models are very useful for performing statistical leakage analysis of large circuits. Results from the ISCAS'85 benchmark circuits show that neural network based stack models can predict the PDF of leakage current of large circuits across supply voltage and temperature accurately with the average error in mean being less than 2% and that in standard deviation being less than 7% when compared to SPICE. Further gate level validation has been done for both an industrial 130 nm and 45 nm PTM model files.

[1]  P. Fisher,et al.  Is gate line edge roughness a first-order issue in affecting the performance of deep sub-micro bulk MOSFET devices? , 2004, IEEE Transactions on Semiconductor Manufacturing.

[2]  Leakage Modelling Of Logic Gates Considering The Effect Of Input , 2007 .

[3]  Y. Liu,et al.  Leakage and leakage sensitivity computation for combinational circuits , 2003, Proceedings of the 2003 International Symposium on Low Power Electronics and Design, 2003. ISLPED '03..

[4]  Bharadwaj S. Amrutur,et al.  Voltage and Temperature Scalable Standard Cell Leakage Models Based on Stacks for Statistical Leakage Characterization , 2008, 21st International Conference on VLSI Design (VLSID 2008).

[5]  David Blaauw,et al.  Statistical analysis of subthreshold leakage current for VLSI circuits , 2004, IEEE Transactions on Very Large Scale Integration (VLSI) Systems.

[6]  Wendemagegnehu T. Beyene,et al.  Application of Artificial Neural Networks to Statistical Analysis and Nonlinear Modeling of High-Speed Interconnect Systems , 2007, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[7]  Jie Gu,et al.  Width-dependent Statistical Leakage Modeling for Random Dopant Induced Threshold Voltage Shift , 2007, 2007 44th ACM/IEEE Design Automation Conference.

[8]  S. Nassif,et al.  Full chip leakage-estimation considering power supply and temperature variations , 2003, Proceedings of the 2003 International Symposium on Low Power Electronics and Design, 2003. ISLPED '03..

[9]  Zhanping Chen,et al.  Estimation of standby leakage power in CMOS circuit considering accurate modeling of transistor stacks , 1998, Proceedings. 1998 International Symposium on Low Power Electronics and Design (IEEE Cat. No.98TH8379).

[10]  Tao Li,et al.  Full-chip leakage analysis in nano-scale technologies: Mechanisms, variation sources, and verification , 2008, 2008 45th ACM/IEEE Design Automation Conference.