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Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 134))

Abstract

This paper is about the definition and effectiveness and fast implementation of a particular family of smoothing filters. These “Savitzky-Golay filters” are popular in spectroscopy. But to filter experts in other areas they are virtually unknown! Since the filters are constructed in a very natural way, they allow analysis and explanation. They can give excellent results provided the filter length is correctly chosen, and they deserve to be understood.

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© 2003 Springer-Verlag New York, Inc.

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Persson, PO., Strang, G. (2003). Smoothing by Savitzky-Golay and Legendre Filters. In: Rosenthal, J., Gilliam, D.S. (eds) Mathematical Systems Theory in Biology, Communications, Computation, and Finance. The IMA Volumes in Mathematics and its Applications, vol 134. Springer, New York, NY. https://doi.org/10.1007/978-0-387-21696-6_11

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  • DOI: https://doi.org/10.1007/978-0-387-21696-6_11

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-2326-4

  • Online ISBN: 978-0-387-21696-6

  • eBook Packages: Springer Book Archive

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