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Visualization of wavelet spectra of fractal Brownian motion

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Abstract

Methods for visualizing wavelet spectra are considered for two realizations of fractal Brownian motion. The effect of “peak aggregation” on the energy density surface of a wavelet transformation is demonstrated using the local-scale normalization method. It is proposed that an adaptive scale of level lines based on the time-averaged distribution of the energy density of the wavelet transformation be used to eliminate the undesirable effect and to refine the image.

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Correspondence to P. V. Moskalev.

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Original Russian Text © P.V. Moskalev, 2008, published in Zhurnal Tekhnicheskoĭ Fiziki, 2008, Vol. 78, No. 10, pp. 13–18.

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Moskalev, P.V. Visualization of wavelet spectra of fractal Brownian motion. Tech. Phys. 53, 1261–1266 (2008). https://doi.org/10.1134/S1063784208100022

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  • DOI: https://doi.org/10.1134/S1063784208100022

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