Estimation of spectral exponent parameter of 1/f process in additive white background noise

Süleyman Baykut; Tayfun Akgül; Semih Ergintav

doi:10.1155/2007/63219

Estimation of spectral exponent parameter of 1/f process in additive white background noise

Süleyman Baykut^*, Tayfun Akgül, Semih Ergintav

^*Corresponding author for this work

Department of Electronics and Communication Engineering

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

An extension to the wavelet-based method for the estimation of the spectral exponent, γ, in a 1/fγ 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 γ 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.

Original language	English
Article number	63219
Journal	Eurasip Journal on Advances in Signal Processing
Volume	2007
DOIs	https://doi.org/10.1155/2007/63219
Publication status	Published - 2007

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abstract = "An extension to the wavelet-based method for the estimation of the spectral exponent, γ, in a 1/fγ 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 γ 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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AU - Ergintav, Semih

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N2 - An extension to the wavelet-based method for the estimation of the spectral exponent, γ, in a 1/fγ 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 γ 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.

AB - An extension to the wavelet-based method for the estimation of the spectral exponent, γ, in a 1/fγ 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 γ 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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JO - Eurasip Journal on Advances in Signal Processing

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Estimation of spectral exponent parameter of 1/f process in additive white background noise

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