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Consecutive differences as a method of signal fractal analysis
dc.creator | Kalauzi, Aleksandar | |
dc.creator | Spasić, Slađana | |
dc.creator | Culic, M | |
dc.creator | Grbic, G | |
dc.creator | Martać, Ljiljana | |
dc.date.accessioned | 2022-04-05T14:06:17Z | |
dc.date.available | 2022-04-05T14:06:17Z | |
dc.date.issued | 2005 | |
dc.identifier.issn | 0218-348X | |
dc.identifier.uri | http://rimsi.imsi.bg.ac.rs/handle/123456789/123 | |
dc.description.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. | en |
dc.publisher | World Scientific Publ Co Pte Ltd, Singapore | |
dc.rights | restrictedAccess | |
dc.source | Fractals-Complex Geometry Patterns and Scaling in Nature and Society | |
dc.subject | Weierstrass functions | en |
dc.subject | Higuchi's algorithm | en |
dc.subject | fractal dimension | en |
dc.subject | consecutive differences method | en |
dc.title | Consecutive differences as a method of signal fractal analysis | en |
dc.type | article | |
dc.rights.license | ARR | |
dc.citation.epage | 292 | |
dc.citation.issue | 4 | |
dc.citation.other | 13(4): 283-292 | |
dc.citation.rank | M22 | |
dc.citation.spage | 283 | |
dc.citation.volume | 13 | |
dc.identifier.doi | 10.1142/S0218348X05002933 | |
dc.identifier.scopus | 2-s2.0-27744590465 | |
dc.identifier.wos | 000234165400003 | |
dc.type.version | publishedVersion |
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