Origin of the Usefulness of the Natural-Time Representation of Complex Time Series

Sumiyoshi Abe, N. V. Sarlis, E. S. Skordas, H. K. Tanaka, and P. A. Varotsos

Phys. Rev. Lett. 94, 170601 – Published 2 May 2005

Abstract

The concept of natural time turned out to be useful in revealing dynamical features behind complex time series including electrocardiograms, ionic current fluctuations of membrane channels, seismic electric signals, and seismic event correlation. However, the origin of this empirical usefulness is yet to be clarified. Here, it is shown that this time domain is in fact optimal for enhancing the signals in time-frequency space by employing the Wigner function and measuring its localization property.

Received 3 December 2004

DOI:https://doi.org/10.1103/PhysRevLett.94.170601

Authors & Affiliations

Sumiyoshi Abe^1,*, N. V. Sarlis², E. S. Skordas^2,3, H. K. Tanaka^2,4, and P. A. Varotsos^2,3,†

¹Institute of Physics, University of Tsukuba, Ibaraki 305-8571, Japan
²Solid State Section, Physics Department, University of Athens, Panepistimiopolis, Zografos 157 84, Athens, Greece
³Solid Earth Physics Institute, Physics Department, University of Athens, Panepistimiopolis, Zografos 157 84, Athens, Greece
⁴Earthquake Prediction Research Center, Tokai University, Shizuoka 424-8610, Japan

^*Electronic address: suabe@sf6.so-net.ne.jp
^†Electronic address: pvaro@otenet.gr

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Vol. 94, Iss. 17 — 6 May 2005

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