Title
Intra-Die Spatial Correlation Extraction With Maximum Likelihood Estimation Method For Multiple Test Chips
Abstract
In this paper, a novel intra-die spatial correlation extraction method referred to as MLEMTC (Maximum Likelihood Estimation for Multiple Test Chips) is presented. In the MLEMTC method, a joint likelihood function is formulated by multiplying the set of individual likelihood functions for all test chips. This joint likelihood function is then maximized to extract a unique group of parameter values of a single spatial correlation function, which can be used for statistical circuit analysis and design. Moreover, to deal with the purely random component and measurement error contained in measurement data, the spatial correlation function combined with the correlation of white noise is used in the extraction, which significantly improves the accuracy of the extraction results. Furthermore, an LU decomposition based technique is developed to calculate the log-determinant of the positive definite matrix within the likelihood function. which solves the numerical stability problem encountered in the direct calculation. Experimental results have shown that the proposed method is efficient and practical.
Year
DOI
Venue
2009
10.1587/transfun.E92.A.3007
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
Keywords
Field
DocType
intra-die variations, spatial correlation, maximum likelihood estimation
Score test,Spatial correlation,Expectation–maximization algorithm,Maximum likelihood,Estimation theory,Maximum likelihood sequence estimation,Statistics,Mathematics
Journal
Volume
Issue
ISSN
E92A
12
0916-8508
Citations 
PageRank 
References 
0
0.34
9
Authors
5
Name
Order
Citations
PageRank
Qiang Fu179181.92
Wai-Shing Luk218715.13
Jun Tao36010.39
Xuan Zeng440875.96
Wei Cai517539.84