منابع مشابه
Shannon Wavelets Theory
Shannon wavelets are studied together with their differential properties known as connection coefficients . It is shown that the Shannon sampling theorem can be considered in a more general approach suitable for analyzing functions ranging in multifrequency bands. This generalization coincides with the Shannon wavelet reconstruction of L2 R functions. The differential properties of Shannon wave...
متن کاملSignorini Cylindrical Waves and Shannon Wavelets
Hyperelastic materials based on Signorini’s strain energy density are studied by using Shannon wavelets. Cylindrical waves propagating in a nonlinear elastic material from the circular cylindrical cavity along the radius are analyzed in the following by focusing both on the main nonlinear effects and on the method of solution for the corresponding nonlinear differential equation. Cylindrical wa...
متن کاملShannon and Renyi Entropy of Wavelets
This paper reports a new reading for wavelets, which is based on the classical ’De Broglie’ principle. The waveparticle duality principle is adapted to wavelets. Every continuous basic wavelet is associated with a proper probability density, allowing defining the Shannon entropy of a wavelet. Further entropy definitions are considered, such as Jumarie or Renyi entropy of wavelets. We proved tha...
متن کاملShannon Wavelets for the Solution of Integrodifferential Equations
Shannon wavelets are used to define a method for the solution of integrodifferential equations. This method is based on 1 the Galerking method, 2 the Shannon wavelet representation, 3 the decorrelation of the generalized Shannon sampling theorem, and 4 the definition of connection coefficients. The Shannon sampling theorem is considered in a more general approach suitable for analysing function...
متن کاملAnalysis and Synthesis of Processes via Shannon Wavelets
1=f processes can be very useful in modeling processes with long-term correlation. We propose analysis and synthesis procedures to express these processes in terms of the Shannon wavelet. Unlike previous techniques, our analysis procedure generates uncorrelated decomposition coefficients for the 1=f process. This is done by taking onto account, and then removing, the residual correlation betwee...
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ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2008
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2008/164808