A Perfect Smoother

Paul H. C. Eilers*
Department of Medical Statistics, Leiden University Medical Centre, P.O. Box 9604, 2300 RC Leiden, The Netherlands
Anal. Chem., 2003, 75 (14), pp 3631–3636
DOI: 10.1021/ac034173t
Publication Date (Web): May 30, 2003
Copyright © 2003 American Chemical Society
*

 To whom correspondence should be addressed. E-mail:  p.eilers@lumc.nl.

Abstract

The well-known and popular Savitzky−Golay filter has several disadvantages. A very attractive alternative is a smoother based on penalized least squares, extending ideas presented by Whittaker 80 years ago. This smoother is extremely fast, gives continuous control over smoothness, interpolates automatically, and allows fast leave-one-out cross-validation. It can be programmed in a few lines of Matlab code. Theory, implementation, and applications are presented.

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History

  • Published In Issue July 15, 2003
  • Received for review February 21, 2003. Accepted April 28, 2003.

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