Estimation of Spectral Exponent Parameter of <inline-formula><graphic file="1687-6180-2007-063219-i1.gif"/></inline-formula> 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.</p