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Savitzky–Golay smoothing and differentiation filter for even number data

2005; Elsevier BV; Volume: 85; Issue: 7 Linguagem: Inglês

10.1016/j.sigpro.2005.02.002

1872-7557

Jianwen Luo, Kui Ying, Jing Bai,

Image and Signal Denoising Methods

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.