Latin Hypercube Sampling Monte Carlo Estimation of AverageQuality Index for Integrated Circuits

  • Authors:
  • Mansour Keramat;Richard Kielbasa

  • Affiliations:
  • Ecole Supérieure d‘Electricité (SUPELEC), Service des Mesures, Plateau de Moulon, 91192 Gif-sur-Yvette Cédex France;Ecole Supérieure d‘Electricité (SUPELEC), Service des Mesures, Plateau de Moulon, 91192 Gif-sur-Yvette Cédex France

  • Venue:
  • Analog Integrated Circuits and Signal Processing - Special issue: analog design issues in digital VSLI circuits and systems
  • Year:
  • 1997

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Abstract

The Monte Carlo method exhibits generality and insensitivityto the number of stochastic variables, but is expensive for accurateAverage Quality Measure (AQI) or Parametric Yield estimationof MOS VLSI circuits. In this contribution a new method of variancereduction technique, viz. the Latin Hypercube Sampling (LHS)method is presented which improves the efficiency of AQI estimationin integrated circuits especially for MOS digital circuits. Thismethod is similar to the Primitive Monte Carlo (PMC) methodexcept in samples generation step where the Latin Hypercube Samplingmethod is used. This sampling method is very simple and doesnot involve any further simulations. Moreover, it has a smallervariance with respect to the PMC estimator. Encouraging resultshave thus far been obtained. A 3-dimensional quadratic function,a high pass filter, and a CMOS delay circuit examples are includedto demonstrate the efficiency of this technique.