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
收藏
页码：113 / 137
页数：25
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