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Wavelet Estimation of Fractional Brownian Motion...
Journal article

Wavelet Estimation of Fractional Brownian Motion Embedded in a Noisy Environment

Abstract

This correspondence proposes a wavelet-based fractional Brownian motion (fBm) signal estimation scheme. Despite the fact that wavelet transform approximately whitens the fBm processes, it is observed that statistical dependencies still exist across adjacent wavelet scales and between neighboring wavelet coefficients. These dependencies can be exploited to improve the estimation of fBm signals embedded into noise. The idea is to reorganize the …

Authors

Zhang L; Bao P; Wu X

Journal

IEEE Transactions on Information Theory, Vol. 50, No. 9, pp. 2194–2200

Publisher

Institute of Electrical and Electronics Engineers (IEEE)

Publication Date

9 2004

DOI

10.1109/tit.2004.833357

ISSN

0018-9448