Savitzky-Golay smoothing and differentiation filter for even number data

Authors:
Jianwen Luo;Kui Ying;Jing Bai
Affiliations:
Department of Biomedical Engineering, Tsinghua University, Beijing, PR China;Department of Biomedical Engineering, Tsinghua University, Beijing, PR China;Department of Biomedical Engineering, Tsinghua University, Beijing, PR China
Venue:
Signal Processing
Year:
2005

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Abstract

The Savitzky-Golay smoothing and differentiation filter optimally fits a set of data points to a polynomial in the least-squares sense. The Savitzky-Golay filter has been developed and generalized well in the literatures. However, the data subset is subject to an odd number (2m + 1). In this communication, the Savitzky-Golay filter is extended for even number data. Simulations are performed to validate the feasibility of such an approach. And some corresponding properties are discussed.