TAILIEUCHUNG - Báo cáo hóa học: " Research Article Estimation of Spectral Exponent Parameter of 1/ f Process in Additive White Background Noise"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Estimation of Spectral Exponent Parameter of 1/ f Process in Additive White Background Noise | Hindawi Publishing Corporation EURASIP Journal on Advances in Signal Processing Volume 2007 Article ID 63219 7 pages doi 2007 63219 Research Article Estimation of Spectral Exponent Parameter of 1 f Process in Additive White Background Noise Suleyman Baykut 1 Tayfun Akgul 1 2 and Semih Ergintav2 1 Department of Electronics and Communications Engineering Istanbul Technical University 34469 Maslak Istanbul Turkey 2 TUbITAK Marmara Research Center Earth and Marine Sciences Institute 41470 Gebze Kocaeli Turkey Received 29 September 2006 Revised 5 February 2007 Accepted 29 April 2007 Recommended by Abdelhak M. Zoubir An extension to the wavelet-based method for the estimation of the spectral exponent Y in a 1 ft 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 Y 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. Copyright 2007 Suleyman Baykut et al. 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. 1. INTRODUCTION 1 fY processes also referred to as self-similar processes are observed in many diverse fields and have gained importance in various signal processing applications from geophysical records to biomedical signals from economical indicators to internet network traffic 1-6 . 1 fY processes are generally characterized by a power-law relationship in the frequency domain that is the empirical or measured power spectra of such processes are considered to be of the form 1 Sx w - 1 xv 7 w Y v 7 over some decades of frequency w where Ơ2 is a .

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