Numerical Differentiation of Noisy, Nonsmooth Data
Author
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-05-11
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We consider the problem of differentiating a function specified by noisy data.
Regularizing the differentiation process avoids the noise amplification of finite-difference methods.
We use total-variation regularization, which allows for discontinuous solutions.
The resulting simple algorithm accurately differentiates noisy functions, including those which have a discontinuous derivative.
American Psychological Association (APA)
Chartrand, Rick. 2011. Numerical Differentiation of Noisy, Nonsmooth Data. ISRN Applied Mathematics،Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-451021
Modern Language Association (MLA)
Chartrand, Rick. Numerical Differentiation of Noisy, Nonsmooth Data. ISRN Applied Mathematics No. 2011 (2011), pp.1-11.
https://search.emarefa.net/detail/BIM-451021
American Medical Association (AMA)
Chartrand, Rick. Numerical Differentiation of Noisy, Nonsmooth Data. ISRN Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-451021
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451021