A new method for fuzzy estimation of the fractal dimension and its applications to time series analysis and pattern recognition

2002 ◽  
Author(s):  
O. Castillo ◽  
P. Melin
Keyword(s):  
Time Series ◽  
Pattern Recognition ◽  
Fractal Dimension ◽  
Time Series Analysis ◽  
New Method ◽  
Series Analysis

Soft Computing Based Statistical Time Series Analysis, Characterization of Chaos Theory, and Theory of Fractals

2013 ◽  
pp. 30-61 ◽  
Author(s):  
Mofazzal H. Khondekar ◽  
Dipendra N. Ghosh ◽  
Koushik Ghosh ◽  
Anup Kumar Bhattacharya
Keyword(s):  
Time Series ◽  
Fractal Dimension ◽  
Time Series Analysis ◽  
Soft Computing ◽  
Chaos Theory ◽  
Filter Design ◽  
Theoretical Perspective ◽  
Series Analysis ◽  
Statistical Time

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.

A New Method of Time Series Analysis and its Application to Identifying Modal Parameters

1991 ◽  
Author(s):  
Yusheng He ◽  
Zhaoxiang Deng
Keyword(s):  
Time Series ◽  
Time Series Analysis ◽  
Time Domain ◽  
New Method ◽  
Modal Parameters ◽  
Frequency Domain Method ◽  
Identification Algorithm ◽  
Series Analysis ◽  
The Time Domain ◽  
Modeling Strategy

Abstract In the paper, the attention concentrates on the time domain modal analysis. A new method of time series analysis, which is formed mainly by an ideal modeling strategy and a new COR-IV method, is developed. In addition, an interesting parameter called as modal energy ratio, which is available for design reference, is defined and its identification algorithm is given. The new method presented in this paper and Frequency Domain Method (FDM) are performed on a frame of SG120 vehicle. It is shown by comparison between these two methods that the new method of time series analysis is practical.

New Method of Time Series Analysis and Its Application to Wolf's Sunspot Number Data

1994 ◽  
Vol 33 (Part 1, No. 5A) ◽  
pp. 2821-2831 ◽  
Author(s):  
Norio Ohtomo ◽  
Saburou Terachi ◽  
Yukio Tanaka ◽  
Kazuo Tokiwano ◽  
Noboru Kaneko
Keyword(s):  
Time Series ◽  
Time Series Analysis ◽  
Sunspot Number ◽  
New Method ◽  
Series Analysis
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