Wavelet Based Some Julia Sets of Rational Maps Having Zhukovskii Function

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Author(s)

Jean Bosco Mugiraneza 1,*

1. Department of Computer Science, Kigali Independent University P. O. Box 2280, Kigali-Rwand

* Corresponding author.

DOI: https://doi.org/10.5815/ijigsp.2012.05.08

Received: 3 Mar. 2012 / Revised: 31 Mar. 2012 / Accepted: 8 May 2012 / Published: 8 Jun. 2012

Index Terms

Wavelets, Julia Set, Maps, Matlab SPTool, Zhukovskii Function

Abstract

The dynamics of rational maps and their properties are interesting because of the presence of poles and zeros. In this paper we have computed Julia sets of rational maps having Zhukovskii Function for which the double of the first derivative has no Herman rings. The data points out of the Julia set in Matlab workspace were imported to Matlab Signal Processing Tool for their analysis. We have sampled the data points with the sampling frequency of 8192 Hz and obtained complex signals. We have then applied the band pass filter to these complex signals. The effect of the band pass filter has generated complex analogue modulated signals.

Cite This Paper

Jean Bosco Mugiraneza,"Wavelet Based Some Julia Sets of Rational Maps Having Zhukovskii Function ", IJIGSP, vol.4, no.5, pp.61-70, 2012. DOI: 10.5815/ijigsp.2012.05.08

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