Open AccessInvestigation of noise influence on calculation of fractal dimension
Author(s) -
А. В. Кондрашов,
А. Б. Устинов,
E. S. Volobuev,
А. В. Дроздовский,
B. A. Kalinikos
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1400/4/044002
Subject(s) - fractal dimension , noise (video) , fractal , correlation dimension , harmonics , mathematics , torus , fractal dimension on networks , irrational number , harmonic , dimension (graph theory) , intensity (physics) , fractal analysis , mathematical analysis , statistical physics , physics , acoustics , computer science , optics , geometry , artificial intelligence , pure mathematics , image (mathematics) , quantum mechanics , voltage
In this paper we investigate in details the influence of the noise intensity on the result of the fractal dimension calculation. The fractal dimension of multidimensional torus is considered as an analysis object. Sum of a number of harmonic signals with irrational ratio of their frequencies and noise signal allows to construct partially destructed torus. It is shown that the presence of the noise leads to increase of the fractal dimension. Value of the increase depends on the relation between noise intensity and harmonics intensity.