Use of a hypothetically optimal non-recursive digital smoothing filter for comparative study of signal denoising methods in analytical chemistry
Journal Title: International Journal of Emerging Technologies in Computational and Applied Sciences - Year 2017, Vol 21, Issue 1
Abstract
We developed a hypothetically optimal non-recursive digital smoothing filter which minimises the sum of the squared norms of the residuals (between true and smoothed signals) and of the smoothed noise. It has been proven theoretically that the optimal smoothing filter of constant and linear signals is the moving average filter. It was found that Savitzky - Goley and Fourier filters have near-optimal smoothing properties for the white and pink noises.
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