Hierarchical statistical characterization of mixed-signal circuits using behavioral modeling
Eric Felt,S. Zanella,Carlo Guardiani,Alberto Sangiovanni-Vincentelli +3 more
- pp 374-380
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TLDR
A methodology for hierarchical statistical circuit characterization which does not rely upon circuit-level Monte Carlo simulation is presented and permits the statistical characterization of large analog and mixed-signal systems.Abstract:
A methodology for hierarchical statistical circuit characterization which does not rely upon circuit-level Monte Carlo simulation is presented. The methodology uses principal component analysis, response surface methodology, and statistics to directly calculate the statistical distributions of higher-level parameters from the distributions of lower-level parameters. We have used the methodology to characterize a folded cascode operational amplifier and a phase-locked loop. This methodology permits the statistical characterization of large analog and mixed-signal systems, many of which are extremely time-consuming or impossible to characterize using existing methods.read more
Citations
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Journal ArticleDOI
Rapid Yield Estimation and Optimization of Microwave Structures Exploiting Feature-Based Statistical Analysis
Slawomir Koziel,John W. Bandler +1 more
TL;DR: A simple, yet reliable methodology to expedite yield estimation and optimization of microwave structures by exploiting the almost linear dependence of the feature points on the designable parameters of the structure.
Journal ArticleDOI
Enabling High-Dimensional Hierarchical Uncertainty Quantification by ANOVA and Tensor-Train Decomposition
TL;DR: This paper develops an efficient analysis of variance-based stochastic circuit/microelectromechanical systems simulator to efficiently extract the surrogate models at the low level and employs tensor-train decomposition at the high level to construct the basis functions and Gauss quadrature points.
Proceedings ArticleDOI
Asymptotic probability extraction for non-normal distributions of circuit performance
TL;DR: An asymptotic probability extraction method, APEX, for estimating the unknown random distribution when using nonlinear response surface modeling, which uses a binomial moment evaluation to efficiently compute the high order moments of the unknown distribution and applies moment matching to approximate the characteristic function of the random circuit performance by an efficient rational function.
Journal ArticleDOI
Asymptotic Probability Extraction for Nonnormal Performance Distributions
TL;DR: The APEX begins by efficiently computing the high-order moments of the unknown distribution and then applies moment matching to approximate the characteristic function of the random distribution by an efficient rational function, and is proven that such a moment-matching approach is asymptotically convergent when applied to quadratic response surface models.
Journal ArticleDOI
Random-Space Dimensionality Reduction for Expedient Yield Estimation of Passive Microwave Structures
TL;DR: In this article, a methodology is presented for the expedient statistical analysis of the electromagnetic attributes of passive microwave structures exhibiting manufacturing uncertainty in geometric and material parameters, which leads to an expedient estimation of production yield by means of the crossentropy algorithm, which provides for fast calculation of the failure probability for a given functionality criterion.
References
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Proceedings ArticleDOI
A Top-down, Constraint-driven Design Methodology For Analog Integrated Circuits
BookDOI
The geometry of multivariate statistics
TL;DR: In this article, variable space and subject space is used to analyze the relationship between variable spaces and subject spaces, and principal-component analysis is used for principal component analysis of variable spaces.
Proceedings ArticleDOI
MIDAS-a functional simulator for mixed digital and analog sampled data systems
L.A. Williams,Bruce A. Wooley +1 more
TL;DR: MIDAS as discussed by the authors is a first-order sigma-delta (SDS) modulator simulator that uses model files to specify the configuration of the simulated system and the analyses to be performed.