A unified framework for derivation and implementation of Savitzky-Golay filters

Date

2014-11-01

Author

Candan, Çağatay

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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The Savitzky-Golay (SG) filter design problem is posed as the minimum norm solution of an underdetermined equation system. A unified SG filter design framework encompassing several important applications such as smoothing, differentiation, integration and fractional delay is developed. In addition to the generality and flexibility of the framework, an efficient SG filter implementation structure, naturally emerging from the framework, is proposed. The structure is shown to reduce the number of multipliers in the smoothing application. More specifically, the smoothing application, where an Lth degree polynomial to the frame of 2N+1 samples is fitted, can be implemented with N-L/2 multiplications per output sample instead of N+1 multiplications with the suggested structure.

Subject Keywords

Control and Systems Engineering, Signal Processing, Electrical and Electronic Engineering, Software, Computer Vision and Pattern Recognition

URI

https://hdl.handle.net/11511/41122

Journal

SIGNAL PROCESSING

DOI

https://doi.org/10.1016/j.sigpro.2014.04.016

Collections

Department of Electrical and Electronics Engineering, Article

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Citation Formats

Ç. Candan, “A unified framework for derivation and implementation of Savitzky-Golay filters,” SIGNAL PROCESSING, pp. 203–211, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41122.