A fragmented geometric shape that can be split up into secondary pieces, each of which is approximately a smaller replica of the whole, the phenomenon commonly known as self similarity.
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Soft Computing Based Statistical Time Series Analysis, Characterization of Chaos Theory, and Theory of Fractals
Mofazzal H. Khondekar (Dr. B.C. Roy Engineering College, India), Dipendra N. Ghosh (Dr. B.C. Roy Engineering College, India), Koushik Ghosh (University Institute of Technology, University of Burdwan, India), and Anup Kumar Bhattacharya (National Institute of Technology, India)
Copyright: © 2013
|Pages: 32
DOI: 10.4018/978-1-4666-2518-1.ch002
Abstract
The present work is an attempt to analyze the various researches already carried out from the theoretical perspective in the field of soft computing based time series analysis, characterization of chaos, and theory of fractals. Emphasis has been given in the analysis on soft computing based study in prediction, data compression, explanatory analysis, signal processing, filter design, tracing chaotic behaviour, and estimation of fractal dimension of time series. The present work is a study as a whole revealing the effectiveness as well as the shortcomings of the various techniques adapted in this regard.