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With the aid of Riemann–Liouville fractional calculus theory, fractional order Savitzky–Golay differentiation (FOSGD) is calculated and applied to pretreat near infrared (NIR) spectra in order to improve the performance of multivariate calibrations. Similar to integral order Savitzky–Golay differentiation (IOSGD), FOSGD is obtained by fitting a spectral curve in a moving window with a polynomial function...
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