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Consecutive differences as a method of signal fractal analysis
dc.creator | Ćulić, Milka | |
dc.creator | Kalauzi, Aleksandar | |
dc.creator | Spasić, Slađana Z. | |
dc.creator | Stojadinović, Gordana | |
dc.creator | Martać, Ljiljana | |
dc.date.accessioned | 2017-11-23T11:27:58Z | |
dc.date.available | 2015-11-17T10:26:51Z | |
dc.date.issued | 2005 | sr |
dc.identifier.issn | 0218-348X | sr |
dc.identifier.other | Rad_konverzija_3680 | sr |
dc.identifier.uri | https://radar.ibiss.bg.ac.rs/handle/123456789/1685 | |
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.description.sponsorship | null | sr |
dc.language.iso | English | sr |
dc.rights | restrictedAccess | |
dc.source | Fractals-Complex Geometry Patterns and Scaling in Nature and Society | sr |
dc.title | Consecutive differences as a method of signal fractal analysis | en |
dc.type | article | |
dc.rights.license | ARR | |
dcterms.abstract | Грбић, Гордана М.; Мартаћ, Љиљана; Ћулић, Милка; Калаузи, Aлександар; Спасић, Слађана З.; | |
dc.citation.issue | 4 | sr |
dc.citation.volume | 13 | sr |
dc.citation.epage | 292 | sr |
dc.type.version | publishedVersion | en |
dc.citation.rank | M22 | |
dc.identifier.rcub | https://hdl.handle.net/21.15107/rcub_ibiss_1685 |
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