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 45 条

[1] THE METHOD OF CALCULATING FRACTAL DIMENSION
QING, G
JOURNAL OF PATHOLOGY, 1995, 175 (04): : 461 - 461
[2] THE METHOD OF CALCULATING FRACTAL DIMENSION - REPLY
CROSS, SS
HOWAT, AJ
STEPHENSON, TJ
COTTON, DWK
UNDERWOOD, JCE
JOURNAL OF PATHOLOGY, 1995, 175 (04): : 462 - 462
[3] THERMODYNAMIC METHOD FOR CALCULATING SURFACE FRACTAL DIMENSION
NEIMARK, AV
JETP LETTERS, 1990, 51 (10) : 607 - 610
[4] A method for calculating fractal dimension of multivariate time series
Wu, Hu-Sheng
Ni, Li-Ping
Zhang, Feng-Ming
Zhou, Xuan
Du, Ji-Yong
Kongzhi yu Juece/Control and Decision, 2014, 29 (03): : 455 - 459
[5] A NEW METHOD FOR CALCULATING THE FRACTAL DIMENSION OF SURFACE TOPOGRAPHY
Zuo, Xue
Zhu, Hua
Zhou, Yuankai
Li, Yan
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2015, 23 (03)
[6] A CHARACTERIZATION OF ULTRASONIC POWER SPECTRUM BY FRACTAL ANALYSIS - IMAGING BY FRACTAL DIMENSION
KIKUCHI, T
KIRYU, S
SATO, S
MIURA, H
JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS BRIEF COMMUNICATIONS & REVIEW PAPERS, 1990, 29 : 243 - 245
[7] A Method for Calculating Fractal Dimension of Amicrons and Fractal Simulation of Boundary Micro-Topography
LI Jin-ping1
International Journal of Mining Science and Technology, 2006, (02) : 193 - 195
[8] CONTROL OF POWER SPECTRUM OF DYNAMIC CHAOS WITH LOW FRACTAL DIMENSION
DMITRIEV, AS
STARKOV, SO
BELSKII, YL
PISMA V ZHURNAL TEKHNICHESKOI FIZIKI, 1990, 16 (09): : 65 - 69
[9] Power spectrum and fractal dimension of laser backscattering from the ocean
Churnside, James H.
Wilson, James J.
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2006, 23 (11) : 2829 - 2833
[10] The Measurement Method of Power Capacitor tanδ Based on Kaiser-Window
Huang Zhichao
Yan Hongyan
Yang Shengzhen
Fan Xingming
Shen Shuangjiang
Zhang Kewei
PROCEEDINGS OF THE 2012 INTERNATIONAL CONFERENCE AND EXPOSITION ON ELECTRICAL AND POWER ENGINEERING (EPE 2012), 2012, : 825 - 830

← 1 2 3 4 5 →