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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union

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https://doi.org/10.5194/npg-2017-16
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
Research article
19 Apr 2017
Review status
This discussion paper is under review for the journal Nonlinear Processes in Geophysics (NPG).
Constraining on the Stationarity of Signal with Time-Frequency Surrogates to Enhance the Reliability of Singularity Spectrum Attributes of Random Seismic Noise Wavefield
Amir Ali Hamed1, Hiroe Miyake2,3, Zaher Hossein Shomali1,4, and Ali Moradi1 1Institute of Geophysics, The University of Tehran, 14155‐6466, Tehran, Iran
2Earthquake Research Institute, The University of Tokyo, Tokyo, Japan
3Centre for Integrated Disaster Information Research, Interfaculty Initiative in Information Studies, The University of Tokyo, Tokyo, Japan
4Department of Earth Sciences, The Uppsala University, 75236 Uppsala, Sweden
Abstract. Existence of a self-affine long range persistence in the seismic noise time series evidences that the current state of system is not in the pure diffused regime and transition from coherent to incoherent motion is still on progress. Rate of this evolving transition can be indirectly linked to the degree of heterogeneity of medium, thus in this paper we tried to gain an insight into the heterogeneity of the medium by analyzing the width, extreme and asymmetrical trend of multifractal spectrum of seismic records. Nonetheless, toward high frequency ranges a seismic signal itself loses its stationarity short while after its recording onset time. Experimentally, the long-range correlation of a stationary time series (with 0 < h(2) < 1) can be discerned from a non-stationary process (with h(2) > 1) by examining the values of scaling exponent h(2), however, changing in the fractal properties in the crossover time scales in time series don’t permit us to ascribe a single amount for h(2) and without executing additional analysis on the stationarity length of signals, direct calculation of such long range correlation and fractal dimensions might be biased. Hence, in this paper we examined the inherent stationarity of a signal relative to the different observation scales in the stochastic contexts before feeding the signal into the cycle of DFA. This method is based on the comparison between global and local features of the original signal and its synthesized time-frequency surrogates; therefor it can effectively improve the accuracy of results. Our approach proves the existence of a high-velocity anomalous feature in the right flank of Sahand inactive volcano where it is surrounded by heterogeneous low-velocity structures and extended to the shallower than ~ 3 km depth beneath this region at the northwestern of Iran.

Citation: Hamed, A. A., Miyake, H., Hossein Shomali, Z., and Moradi, A.: Constraining on the Stationarity of Signal with Time-Frequency Surrogates to Enhance the Reliability of Singularity Spectrum Attributes of Random Seismic Noise Wavefield, Nonlin. Processes Geophys. Discuss., https://doi.org/10.5194/npg-2017-16, in review, 2017.
Amir Ali Hamed et al.
Amir Ali Hamed et al.
Amir Ali Hamed et al.

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Short summary
In this paper we examined the inherent stationarity of a signal relative to the different observation scales in the stochastic contexts before feeding the signal into the cycle of Fractal Analysis. This method is based on the comparison between global and local features of the original signal and its synthesized time frequency surrogates; therefor it can effectively improve the accuracy of results.
In this paper we examined the inherent stationarity of a signal relative to the different...
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