| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1895973 | Chaos, Solitons & Fractals | 2011 | 15 Pages |
Abstract
⺠The successful solution of the Prony's problem has been obtained. It means that for any random signal its amplitude-frequency response can be found. ⺠This solution opens quite new possibilities in creation of new discrete spectroscopy in analysis of different nanoscopic and intermolecular signals. ⺠Real NIR spectra and biological data were considered and analyzed as examples. ⺠The conception of the pseudo-ergodic noise is introduced. It helps to fit the auto-correlation function that is related to remnant function. ⺠The three basic principles of the fluctuation metrology are formulated.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
R.R. Nigmatullin, S.I. Osokin, V.A. Toboev,