Estimation of Spectral Exponent Parameter of 1/f Process in Additive White Background Noise. (17th June 2007)

• Record Type: Journal Article
• Authors: Baykut Baykut, Süleyman Süleyman; Akgül Akgül, Tayfun Tayfun; Ergintav Ergintav, Semih Semih
• Other Names: Zoubir Zoubir Abdelhak M. Abdelhak M. Academic Editor.
• Is Part Of: EURASIP journal on advances in signal processing. Volume 2007(2007)
• Publication Date: 2007-06-17
• Subjects: Signal processing -- Periodicals; Traitement du signal; Signal processing; Periodicals; 621.3822
• DOI: 10.1155/2007/63219
• Languages: English
• ISSNs: 1687-6172

Abstract

Abstract : An extension to the wavelet-based method for the estimation of the spectral exponent, γ, in a1 / f γ 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. Theγ 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.