NDLI: Statistical compact model extraction for skew-normal distributions

Content Provider	IET Digital Library
Author	Revanth, Koduru Janakiraman, Viraraghavan
Abstract	A technique to extract statistical model parameters for skewed Gaussian process variations is proposed. Statistical compact model extraction traditionally assumes that underlying process variations are Gaussian in nature. ON currents in certain high voltage technologies, which are linear in process deviations, show skew in their distribution and hence is indicative of skew in the underlying process variations. The use of skew-normal random variables is proposed to model such variations. Artificial neural networks (ANNs) are used to empirically model the functional relation of performance on process deviations and a framework to propagate skew-normal random variables through ANNs is proposed. A non-linear optimisation problem is formulated to extract the parameters that characterise the skew-normal process variations, with constraints imposed on the objective function to penalise any deviation from Gaussian variations. Results show that the extracted parameters, when simulated, match the performance parameter targets to within 3% for both Gaussian and skewed process variations.
Starting Page	576
Ending Page	585
Page Count	10
ISSN	1751858X
Volume Number	14
e-ISSN	17518598
Issue Number	Issue 5, Aug (2020)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cds/14/5
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cds.2019.0366
Journal	IET Circuits, Devices & Systems
Publisher Date	2020-02-17
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	ANNs Artificial Neural Network Gaussian Processes Gaussian Variations Mathematics Computing Neural Computing Technique Neural Nets Nonlinear Optimisation Problem Normal Distribution Optimisation Optimisation Technique Skew-normal Distribution Skew-normal Random Variables Skewed Gaussian Process Variations Statistical Analysis Statistical Compact Model Extraction Statistical Model Parameter Statistics
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering

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