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Window selection of the savitzky-golay filters for signal recovery from noisy measurements

Sadeghi, M ; Sharif University of Technology | 2020

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  1. Type of Document: Article
  2. DOI: 10.1109/TIM.2020.2966310
  3. Publisher: Institute of Electrical and Electronics Engineers Inc , 2020
  4. Abstract:
  5. The Savitzky-Golay (SG) filtering is a widely used denoising method employed in different applications. The SG filter has two design parameters: the window length and the filter order. As the window length increases, the estimation variance is reduced, but at the same time, the bias error is increased. In this article, we obtain the optimal window length of an SG filter with an arbitrary order, based on minimizing the mean square error (mse), a well-known performance measure considering both the estimation bias and variance. To achieve the optimal window length, we propose an algorithm the performance of which is much better than the existing methods. In this article, we follow the viewpoint proposed by Persson and Strang and design the filter on the basis of the Chebyshev orthogonal polynomials. © 1963-2012 IEEE
  6. Keywords:
  7. Noise reduction ; Optimum window length ; Savitzky-Golay (SG) filter ; Chebyshev filters ; Mean square error ; Polynomials ; Signal filtering and prediction ; Chebyshev orthogonal polynomials ; Denoising methods ; Design parameters ; Estimation variance ; Minimizing the mean square errors ; Noisy measurements ; Performance measure ; Savitzky-Golay filter ; Signal reconstruction
  8. Source: IEEE Transactions on Instrumentation and Measurement ; Volume 69, Issue 8 , 2020 , Pages 5418-5427
  9. URL: https://ieeexplore.ieee.org/document/8957550