Resolution enhancement of composite spectra with fractal noise in derivative spectrometry

The problem of improving the resolution of composite spectra with statistic ally self-similar (Fractal) noise is considered within the framework of der ivative spectrometry. An algorithm of the numerical differentiation of an a rbitrary (including fractional) order of spectra is produced by the statist ical regularization method taking into account a priori information on stat istical properties of the fractal noise. Fractal noise is analyzed in terms of the statistical Hurst method. The efficiency and expedience of this alg orithm are exemplified by treating simulated and experimental IR spectra.