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Mean estimates, Ĥ, for 10 fractal signals with added Gaussian white noise. The SD of the added noise is given on the abscissa as a ratio relative to the SD of the pure fractal signal. For both short and long signals the noise is more destructive to signals with negative near-neighbor correlation (H < 0.5) than it is to signals with positive near-neighbor correlation (H < 0.5).
