Chaotic Analysis: Chaotic Spectrum Analysis with Applications to Chaotic Communications and Chaotic Time Series Analysis

摘要

We propose "Chaotic Analysis" which is to expand given signals in terms of basis functions derived from complete orthonormal functions associated with Lebesgue spetrum of underlying chaotic dynamical system. Although, chaotic analysis can be naturally considered as Fourier analysis, the following difference would be important: the basis functions of chaotic analysis can be nowhere differentiate functions, while the basis functions of Fourier analysis is differentiate functions. We have many applications.