Characterizing Intra-Die Spatial Correlation Using Spectral Density Fitting Method

Qiang FU; Wai-Shing LUK; Jun TAO; Changhao YAN; Xuan ZENG

doi:10.1587/transfun.E92.A.1652

Characterizing Intra-Die Spatial Correlation Using Spectral Density Fitting Method

Qiang FU, Wai-Shing LUK, Jun TAO, Changhao YAN, Xuan ZENG

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In this paper, a spectral domain method named the SDF (Spectral Density Fitting) method for intra-die spatial correlation function extraction is presented. Based on theoretical analysis of random field, the spectral density, as the spectral domain counterpart of correlation function, is employed to estimate the parameters of the correlation function effectively in the spectral domain. Compared with the existing extraction algorithm in the original spatial domain, the SDF method can obtain the same quality of results in the spectral domain. In actual measurement process, the unavoidable measurement error with arbitrary frequency components would greatly confound the extraction results. A filtering technique is further developed to diminish the high frequency components of the measurement error and recover the data from noise contamination for parameter estimation. Experimental results have shown that the SDF method is practical and stable.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E92-A No.7 pp.1652-1659

Publication Date: 2009/07/01

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Online ISSN: 1745-1337

DOI: 10.1587/transfun.E92.A.1652

Type of Manuscript: PAPER

Category: VLSI Design Technology and CAD

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Qiang FU, Wai-Shing LUK, Jun TAO, Changhao YAN, Xuan ZENG, "Characterizing Intra-Die Spatial Correlation Using Spectral Density Fitting Method" in IEICE TRANSACTIONS on Fundamentals, vol. E92-A, no. 7, pp. 1652-1659, July 2009, doi: 10.1587/transfun.E92.A.1652.
Abstract: In this paper, a spectral domain method named the SDF (Spectral Density Fitting) method for intra-die spatial correlation function extraction is presented. Based on theoretical analysis of random field, the spectral density, as the spectral domain counterpart of correlation function, is employed to estimate the parameters of the correlation function effectively in the spectral domain. Compared with the existing extraction algorithm in the original spatial domain, the SDF method can obtain the same quality of results in the spectral domain. In actual measurement process, the unavoidable measurement error with arbitrary frequency components would greatly confound the extraction results. A filtering technique is further developed to diminish the high frequency components of the measurement error and recover the data from noise contamination for parameter estimation. Experimental results have shown that the SDF method is practical and stable.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E92.A.1652/_p

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@ARTICLE{e92-a_7_1652,
author={Qiang FU, Wai-Shing LUK, Jun TAO, Changhao YAN, Xuan ZENG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Characterizing Intra-Die Spatial Correlation Using Spectral Density Fitting Method},
year={2009},
volume={E92-A},
number={7},
pages={1652-1659},
abstract={In this paper, a spectral domain method named the SDF (Spectral Density Fitting) method for intra-die spatial correlation function extraction is presented. Based on theoretical analysis of random field, the spectral density, as the spectral domain counterpart of correlation function, is employed to estimate the parameters of the correlation function effectively in the spectral domain. Compared with the existing extraction algorithm in the original spatial domain, the SDF method can obtain the same quality of results in the spectral domain. In actual measurement process, the unavoidable measurement error with arbitrary frequency components would greatly confound the extraction results. A filtering technique is further developed to diminish the high frequency components of the measurement error and recover the data from noise contamination for parameter estimation. Experimental results have shown that the SDF method is practical and stable.},
keywords={},
doi={10.1587/transfun.E92.A.1652},
ISSN={1745-1337},
month={July},}

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TY - JOUR
TI - Characterizing Intra-Die Spatial Correlation Using Spectral Density Fitting Method
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1652
EP - 1659
AU - Qiang FU
AU - Wai-Shing LUK
AU - Jun TAO
AU - Changhao YAN
AU - Xuan ZENG
PY - 2009
DO - 10.1587/transfun.E92.A.1652
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E92-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 2009
AB - In this paper, a spectral domain method named the SDF (Spectral Density Fitting) method for intra-die spatial correlation function extraction is presented. Based on theoretical analysis of random field, the spectral density, as the spectral domain counterpart of correlation function, is employed to estimate the parameters of the correlation function effectively in the spectral domain. Compared with the existing extraction algorithm in the original spatial domain, the SDF method can obtain the same quality of results in the spectral domain. In actual measurement process, the unavoidable measurement error with arbitrary frequency components would greatly confound the extraction results. A filtering technique is further developed to diminish the high frequency components of the measurement error and recover the data from noise contamination for parameter estimation. Experimental results have shown that the SDF method is practical and stable.
ER -