N. Vandewalle et M. Ausloos, CROSSING OF 2 MOBILE AVERAGES - A METHOD FOR MEASURING THE ROUGHNESS EXPONENT, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(5), 1998, pp. 6832-6834
Self-affine signals characterized by a defined Hurst (roughness) expon
ent H can be investigated through mobile averages. The density rho of
crossing points between any two moving averages is a measure of long-r
ange power-law correlations in the signal. The method is compared to t
he detrended fluctuation analysis. We rake advantage of our findings i
n order to propose a practically powerful and accurate technique for d
etermining H and apply it right away to cases with persistent or antip
ersistent correlations. [S1063-651X(98)10411-7].