Open Access

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

EURASIP Journal on Advances in Signal Processing20072007:063219

https://doi.org/10.1155/2007/63219

Received: 29 September 2006

Accepted: 29 April 2007

Published: 17 June 2007

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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Authors’ Affiliations

(1)
Department of Electronics and Communications Engineering, Istanbul Technical University
(2)
TÜBİTAK Marmara Research Center, Earth and Marine Sciences Institute

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Copyright

© Süleyman Baykut et al. 2007

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.