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Hierarchical statistical characterization of mixed-signal circuits using behavioral modeling

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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.

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Proceedings ArticleDOI

A statistical performance simulation methodology for VLSI circuits

TL;DR: A statistical performance simulation (SPS) methodology for VLSI circuits is presented and achieves efficiency by analyzing the smaller circuit blocks and generating the performance distribution for the entire circuit.
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Efficient yield optimization method using a variable K-Means algorithm for analog IC sizing

TL;DR: This paper presents the study and implementation of a new efficient yield optimization technique for multi-objective optimization-based automatic analog integrated circuit sizing using the k-means algorithm, with a variable number of clusters, to select only a handful potential solutions where the MC simulations are performed.
Proceedings ArticleDOI

Dealing with Uncertainties in Analog/Mixed-Signal Systems: Invited

TL;DR: This paper describes a simple, generic, mathematical model of uncertain signals and systems that is applicable from circuit level up to system level and shows in particular how to use affine arithmetic forms to document uncertainties of different kind in an uncertainty table.
Proceedings ArticleDOI

Efficient parametric yield extraction for multiple correlated non-normal performance distributions of Analog/RF circuits

TL;DR: An efficient numerical algorithm to estimate the parametric yield of analog/RF circuits with consideration of large-scale process variations is proposed, especially developed to handle multiple correlated non-Normal performance distributions, thereby providing better accuracy than other traditional techniques.
Proceedings ArticleDOI

Fast statistical process variation analysis using universal Kriging metamodeling: A PLL example

TL;DR: This paper presents a geostatistical based metamodeling technique that can accurately take into account process variation and considerably reduces the amount of time for simulation.
References
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Book

Response Surface Methodology: Process and Product Optimization Using Designed Experiments

TL;DR: Using a practical approach, this book discusses two-level factorial and fractional factorial designs, several aspects of empirical modeling with regression techniques, focusing on response surface methodology, mixture experiments and robust design techniques.
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TL;DR: In this paper, the authors present a directory of Symbols and Definitions for PCA, as well as some classic examples of PCA applications, such as: linear models, regression PCA of predictor variables, and analysis of variance PCA for Response Variables.
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Linear Models

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Monte Carlo methods

TL;DR: The general nature of Monte Carlo methods can be found in this paper, where a short resume of statistical terms is given, including random, pseudorandom, and quasirandom numbers.