OPTIMIZATION OF THE HIGUCHI METHOD

Background and Objective: Higuchi’s method of determining fractal dimension (HFD) occupies a valuable place in the study wide variety physical signals. In comparison to other methods, it provides more rapid, accurate estimations for entire range possible dimensions. However, major difficulty using is correct choice tuning parameter (kmax) compute most results. past researchers have used various ad hoc methods determine appropriate kmax their particular data. We provide objective determining, priori, best value parameter, given length data set. Methods: create numerous simulations fractional Brownian motion perform Monte Carlo distribution calculated HFD. Results: Experimental results show that HFD depends not only on but also time series, which enable derivation an expression find input series unknown dimension. Conclusion: The Higuchi should be indiscriminately without reference type whose examined. with different motions increases confidence evaluation