Fractional-order derivative spectroscopy for resolving overlapped Lorenztian peak-signals

Fractional-order derivative spectroscopy has been developed to resolve the overlapped Lorentzian peak-signals. Resolutions are directly characterized by spectral parameters extracted from the overlapped peak-signals. For this purpose, using the Haar wavelet as a tool we design a fractional-order differentiator to develop the fractional-order derivative spectroscopy. As the application of the proposed method, simulated overlapped Lorentzian peaks has been resolved. Results indicate the proposed method can be used to resolve overlapped Lorentzian peaks effectively and satisfactorily.