Attempt to distinguish electric signals of a dichotomous nature

Abstract

Three types of electric signals were analyzed: Ion current fluctuations in membrane channels (ICFMC), Seismic electric signals activities (SES), and ``artificial'' noises (AN). The wavelet transform, when applied to the conventional time domain, does not allow a classification of these signals, but does so in the ``natural'' time domain. A classification also becomes possible, if we study $〈{\ensuremath{\chi}}^{q}〉\ensuremath{-}〈\ensuremath{\chi}{〉}^{q}$ versus q, where $\ensuremath{\chi}$ stands for the ``natural'' time. For q values approximately between 1 and 2 the signals are classified and ICFMC lies between the other two types. For $q=1,$ the ``entropy'' $S\ensuremath{\equiv}〈\ensuremath{\chi}\mathrm{ln}\ensuremath{\chi}〉\ensuremath{-}〈\ensuremath{\chi}〉\mathrm{ln}〈\ensuremath{\chi}〉$ of ICFMC almost equals that of a ``uniform'' distribution, while the AN and SES have larger and smaller S values, respectively. The recent [P. Varotsos, N. Sarlis, and E. Skordas, Phys. Rev. E 67, 021109 (2003)] finding that, in short time scales, both SES and AN (which are shown to be non-Markovian) result in comparable detrended fluctuation analysis exponents $\ensuremath{\alpha}\ensuremath{\in}(1.0,1.5)$ is revisited. Even a Markovian dichotomous time series, in short time scales, leads to similar $\ensuremath{\alpha}$ exponents.

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