@article{
author = "Kalauzi, Aleksandar and Spasić, Slađana and Culic, M and Grbic, G and Martać, Ljiljana",
year = "2005",
abstract = "We propose a new method for calculating fractal dimension (DF) of a signal y(t), based on coefficients m(y)((n)), mean absolute values of its nth order derivatives (consecutive finite differences for sampled signals). We found that logarithms of m(y)((n)), = 2, 3,..., n(max), exhibited linear dependence on n: log (m(y)((n))) = (slope)n + Y(int) with stable slopes and Y-intercepts proportional to signal DF values. Using a family of Weierstrass functions, we established a link between Y-intercepts and signal fractal dimension: DF = A(n(max))Y(int) + B(n(max)), and calculated parameters A(n(max)) and B(n(max)) for n(max) = 3,..., 7. Compared to Higuchi's algorithm, advantages of this method include greater speed and eliminating the need to choose value for k(max), since the smallest error was obtained with n(max) = 3.",
publisher = "World Scientific Publ Co Pte Ltd, Singapore",
journal = "Fractals-Complex Geometry Patterns and Scaling in Nature and Society",
title = "Consecutive differences as a method of signal fractal analysis",
pages = "292-283",
number = "4",
volume = "13",
doi = "10.1142/S0218348X05002933"
}