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Time series data analysis using fractional calculus concepts and fractal analysis

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4 Author(s)
Repperger, D.W. ; 711th Human Performance Wing, Air Force Res. Lab., Wright-Patterson AFB, OH, USA ; Farris, K.A. ; Barton, C.C. ; Tebbens, S.

A study is conducted on time series data analysis relating the concept of the fractional calculus to fractals and to the fractal dimension. A new definition of the fractal dimension is provided based on a property of the fractional derivative. Using fractional Gaussian noise and fractional Brownian motion, simulations show the information content of a time series can be easily manipulated by the fractional derivative method and generated in real time.

Published in:

Systems, Man and Cybernetics, 2009. SMC 2009. IEEE International Conference on

Date of Conference:

11-14 Oct. 2009