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

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