Baleanu, D.Ozcellik, S.Cetin, S.Nigmatullin, R.R.2020-05-152025-09-182020-05-152025-09-182013Nigmatullin, R.R...et al. (2013). "Application of the Prony'S Method To Analysis of the Ftır Data",Ifac Proceedings Volumes (Ifac-Papersonline), Vol. 46, No. 1, pp. 581-586.97839028232741474-6670https://doi.org/10.3182/20130204-3-FR-4032.00060https://hdl.handle.net/20.500.12416/14694IFAC - Technical Committee on Linear Control Systems; Technical Committee on Control Design; Technical Committee on Distributed Parameter SystemS; Technical Committee on Non-Linear Control Systems; Technical Committee on Robust ControlIn 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. © 2013 IFAC.eninfo:eu-repo/semantics/openAccessConference Object10.3182/20130204-3-FR-4032.000602-s2.0-84881048191