Kaiser Window Efficiency in Calculating the Exact Fractal Dimension by the Power Spectrum Method

被引：0

作者：

Zahedi, Moosarreza Shamsyeh ^{[1
]}

Mohammadi, Siavash ^{[1
]}

Heydari, Aghileh ^{[1
]}

机构：

[1] Payame Noor Univ PNU, Dept Math, Math, POB 19395-4697, Tehran, Iran

来源：

JOURNAL OF MATHEMATICAL EXTENSION | 2023年 / 17卷 / 02期

关键词：

Power Spectrum; Fractal Dimension; Wavelet Transform; Kaiser Window; TIME-SERIES; CLASSIFICATION;

D O I：

10.30495/JME.2023.2503

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, exact fractals is investigated using the power spectrum method and wavelets. In the proposed algorithms, we use Daubechies and Symlet wavelets of orders 3 to 8 and show the efficiency of the Kaiser window function in the more accurate calculation of the exact fractal dimension. The comparison of the results obtained by the box-counting method on two types of accurate fractals investigated recently shows that the power spectrum and wavelet method using the Kaiser window filter has higher accuracy.

引用

页码：113 / 137

页数：25

共 33 条

[1] Controllability of Impulsive Neutral Fractional Stochastic Systems
Ain, Qura Tul
Nadeem, Muhammad
Akgul, Ali
De la Sen, Manuel
[J]. SYMMETRY-BASEL, 2022, 14 (12):
[2] [Anonymous], 2003, CRC CONCISE ENCY MAT
[3] An Efficient Approach for Solving Differential Equations in the Frame of a New Fractional Derivative Operator
Attia, Nourhane
Akgul, Ali
Seba, Djamila
Nour, Abdelkader
De la Sen, Manuel
Bayram, Mustafa
[J]. SYMMETRY-BASEL, 2023, 15 (01):
[4] Barnsley M. F., 1989, CHAOS FRACTALS MATH, P127
[5] Limitations of fractal dimension estimation algorithms with implications for cloud studies
Brewer, Joe
Di Girolamo, Larry
[J]. ATMOSPHERIC RESEARCH, 2006, 82 (1-2) : 433 - 454
[6] Brojeni F. M., 2014, 3 NATL C NEW IDEAS E
[7] MEASURING THE FRACTAL DIMENSION OF NATURAL SURFACES USING A ROBUST FRACTAL ESTIMATOR
CLARKE, KC
SCHWEIZER, DM
[J]. CARTOGRAPHY AND GEOGRAPHIC INFORMATION SYSTEMS, 1991, 18 (01): : 37 - 47
[8] Dauphine A., 2013, FRACTAL GEOGRAPHY
[9] DE JONG SM, 1995, PHOTOGRAMM ENG REM S, V61, P1041
[10] Box dimension of fractal attractors and their numerical computation
Freiberg, Uta
Kohl, Stefan
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, 95

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