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Open AccessProceedings ArticleDOI

Hierarchical statistical characterization of mixed-signal circuits using behavioral modeling

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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Citations
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Journal ArticleDOI

Response features for low‐cost statistical analysis and tolerance‐aware design of antennas

TL;DR: In this paper, a methodology for rapid statistical analysis of antenna structures is discussed, which exploits response features, which are appropriately selected characteristic points of the antenna response that are important to determine satisfaction/violation of given performance requirements.
Proceedings ArticleDOI

Statistical timing macromodels of digital IP libraries

TL;DR: An innovative statistical methodology is presented that allows one to get an accurate, hierarchical macro-model of the probability density function of digital IP block timings, and the coefficients of the expansion are directly obtained from the moments of the pdf of SPICE model parameters.
Proceedings ArticleDOI

Analysis of the impact of intra-die variance on clock skew

TL;DR: This work applied advanced statistical simulation techniques and accurate mismatch characterization data to the statistical simulation of relatively small clock distribution networks, and confirmed that it is necessary to account for local device variations in the design and sizing of the clock distribution network.
Proceedings ArticleDOI

Homogenization technique for transmission lines with random permittivity profiles

TL;DR: In this article, a homogenization model for transmission lines with nonuniformity manifested in the random permittivity profile of their surrounding medium is proposed, which is defined in terms of a finite series of correlated random variables corresponding to discrete samples taken along the longitudinal dimension of the line.
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.
Book

A User's Guide to Principal Components

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.
Book

Linear Models

Book

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.