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

Author

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  • Nigmatullin, R.R.
  • Smith, G.

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.

Suggested Citation

  • Nigmatullin, R.R. & Smith, G., 2003. "Fluctuation-noise spectroscopy and a “universal” fitting function of amplitudes of random sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 320(C), pages 291-317.
    • Handle: RePEc:eee:phsmap:v:320:y:2003:i:c:p:291-317
    DOI: 10.1016/S0378-4371(02)01600-X
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    Cited by:

    1. Nigmatullin, R.R. & Osokin, S.I. & Toboev, V.A., 2011. "NAFASS: Discrete spectroscopy of random signals," Chaos, Solitons & Fractals, Elsevier, vol. 44(4), pages 226-240.

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