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Estimation of Spectral Exponent Parameter of Process in Additive White Background Noise

Abstract

An extension to the wavelet-based method for the estimation of the spectral exponent, , in a process and in the presence of additive white noise is proposed. The approach is based on eliminating the effect of white noise by a simple difference operation constructed on the wavelet spectrum. The parameter is estimated as the slope of a linear function. It is shown by simulations that the proposed method gives reliable results. Global positioning system (GPS) time-series noise is analyzed and the results provide experimental verification of the proposed method.

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Correspondence to Süleyman Baykut.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://doi.org/creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Baykut, S., Akgül, T. & Ergintav, S. Estimation of Spectral Exponent Parameter of Process in Additive White Background Noise. EURASIP J. Adv. Signal Process. 2007, 063219 (2007). https://doi.org/10.1155/2007/63219

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Keywords

  • Information Technology
  • Background Noise
  • Quantum Information
  • White Background
  • White Background Noise