Alexander KM Leung - Wavelet Transform: A Method for Derivative Calculation in Analytical Chemistry

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  Publication Details (including relevant citation   information):

  Analytical Chemistry, Vol. 70(24), 5222-5229 (1998)


  A novel method based on wavelet transform is proposed in this   work for approximate derivative calculation. An approximate first   derivative of an analytical signal can be expressed as the   difference between the two scale coefficients   C1, which were generated   from any two Daubechies wavelet functions. The optimal results   for both synthetic and experimental data were obtained with the   use of the Daubechies wavelet functions D8  and D18. Our work demonstrated that the new   method can enhance the signal-to-noise ratio at higher order   derivative calculation and retain all major properties of the   conventional methods.

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