Application of the Prony's method to analysis of the FTIR data

In this manuscript we demonstrate the possibilities of a new spectroscopy that has controllable errors and enables to decompose any smoothed strongly-correlated signal into a linear combination of the trigonometric functions. These possibilities are illustrated on analysis of the FTIR spectra related to Zn with addition of a small concentration of dopant Mn at different temperatures. The Prony's distribution of frequencies can contain information about possible fractal structure of the signal analyzed. The informative-significant band of frequencies that is obtained after the application of the Prony's decomposition can open new possibilities in analysis of different smoothed signals.