R.R. Nigmatullin
In this paper we want to show how extract the information from the trendless sequences (TLS(s)) based on their amplitude’s distribution. It becomes to show that in many practical cases the distribution of the amplitudes is described by the generalized Gaussian function containing two or even three power-law exponents. The parameters of this distribution can be used as specific quantitative detectors for identification and differentiation of one random sequence from another one.
Two examples based on real electrochemical data are considered. The first example is related to differentiation of the sugar solutes taken from different producers. Based on the proposed methodology these sugars can be successfully differentiated relatively pure\distilled water solute. The second example is related to differentiation of one equipment from another one based on the recordings of their nano-current fluctuations. One can transform again these fluctuations to the desired sequence of the ranged amplitudes and detect their small differences. These small differencesare proved to be relatively stable and therefore, they can serve as a set of key parameters for the desired TLS(s) differentiation.
The author does hope that this simple method will find a wide practical application in differentiation and calibration of different gadgets based on the analysis of the desired TLS(s). For the proper analysis they should be given in the form of rectangle matrices presenting themselves the extended samplings.
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