Title of article :
Kaiser Window Efficiency in Calculating the Exact Fractal Dimension by the Power Spectrum Method
Author/Authors :
Zahedi ، Moosarreza Shamsyeh Department of Mathematics - Payame Noor University (PNU) , Mohammadi ، Siavash Department of Mathematics - Payame Noor University (PNU) , Heydari ، Aghileh Department of Mathematics - Payame Noor University (PNU)
Abstract :
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.
Keywords :
Power Spectrum , Fractal Dimension , Wavelet Transform , Kaiser Window
Journal title :
Journal of Mathematical Extension(IJME)
Journal title :
Journal of Mathematical Extension(IJME)