Fluctuation-noise spectroscopy and a “universal” fitting function of amplitudes of random sequences

R.R. Nigmatullin and G. Smith

Physica A: Statistical Mechanics and its Applications, 2003, vol. 320, issue C, 291-317

Abstract: A “universal” fitting function has been recognized that makes use of the eigen-coordinates method (Physica A 285 (2000) 547) to accurately describe the distribution of ordered amplitudes within random sequences (taken from a diversity of sources). It is shown that sequences with a discrete structure can be described in terms of specific distributions of relative frequencies with respect to the number of quantum levels. An investigation of these quantum distributions leads to an increase in both sensitivity and selectivity, when attempting the statistical detection of various predominant factors of the hidden signals. The physical meaning of this new function is discussed and a proposal is made as the basis of a new fluctuation-noise spectroscopy, in which the recognized function can be used for the detection of small signals and/or the forerunners of strong signals that are hidden within the random sequences analyzed.

Keywords: Distribution function; Random sequence; Hidden signals; Classification of random samplings; Fluctuation-noise spectroscopy; Fluctuation forks (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:320:y:2003:i:c:p:291-317

DOI: 10.1016/S0378-4371(02)01600-X

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