A new method for stable numerical differentiation

In this paper, we proposed a new algorithm for stable numerical differentiation by optimizing node intervals. With the algorithm, noise-free differentiated values can be extracted within one-percent error. By overcoming noise problem due to numerical differentiation process, our algorithm can easily...

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Bibliographic Details
Published inCurrent applied physics Vol. 9; no. 6; pp. 1463 - 1466
Main Author Choi, Woo Young
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.11.2009
한국물리학회
Subjects
Differentiation
Extraction
Stable
물리학
85.30.De
Stable
85.30.Tv
Extraction
Differentiation
Online AccessGet full text
ISSN1567-1739
1878-1675
DOI10.1016/j.cap.2009.03.021

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Summary:In this paper, we proposed a new algorithm for stable numerical differentiation by optimizing node intervals. With the algorithm, noise-free differentiated values can be extracted within one-percent error. By overcoming noise problem due to numerical differentiation process, our algorithm can easily extract the differentiated values. Also, it can be extended to high order differentiation. To confirm the proposed algorithm, we applied it to the analysis of MOSFET electrical characteristics. It will provide us with a useful analysis tool in the field of parameter extraction from numerical data such as device characterization.
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content type line 23
G704-001115.2009.9.6.021
ISSN:1567-1739
1878-1675
DOI:10.1016/j.cap.2009.03.021