Presentation 2006-12-14
Chaotic Analysis : Chaotic Spectrum Analysis with Applications to Chaotic Communications and Chaotic Time Series Analysis
Ken UMENO,
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Abstract(in English) 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 differentiable functions, while the basis functions of Fourier analysis is differentiable functions. We have many applications
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Keyword(in English) Chaos / Chebyshev Polynomial / Fourier Analysis / Spread Spectrum / CDMA
Paper # NLP2006-104
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Committee NLP
Conference Date 2006/12/7(1days)
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Registration To Nonlinear Problems (NLP)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Chaotic Analysis : Chaotic Spectrum Analysis with Applications to Chaotic Communications and Chaotic Time Series Analysis
Sub Title (in English)
Keyword(1) Chaos
Keyword(2) Chebyshev Polynomial
Keyword(3) Fourier Analysis
Keyword(4) Spread Spectrum
Keyword(5) CDMA
1st Author's Name Ken UMENO
1st Author's Affiliation National Institute of Information and Communications Technology:Chaos Ware Inc.()
Date 2006-12-14
Paper # NLP2006-104
Volume (vol) vol.106
Number (no) 414
Page pp.pp.-
#Pages 6
Date of Issue