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Titlebook: Wavelets and Their Applications; J. S. Byrnes,Jennifer L. Byrnes,Karl Berry Book 1994 Springer Science+Business Media Dordrecht 1994 Fouri

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Convergence: Fourier series vs. wavelet expansions,ications have been made. Several interesting facts about wavelets can be found by examining convergence properties for wavelet expansions, and comparing them with similar properties for Fourier series.
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Approximate frames and the narrowband multitarget radar problem,mputed. Under narrowband assumptions, and in general for real applications, it is necessary for the window signal to have finite first and second time and frequency moments, but Balian’s theorem shows that, in this case, the windowed basis is never a frame. This paper describes an approximation meth
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Multiscale statistical modeling: isotropic processes on a homogeneous tree,mple, we encounter such an operator if we compute the projection of a function f ∈ L.(ℝ) on a subspace V., and issue to a multiresolution analysis from the projection on the next finer subspace V.. The processing of “timeindexed” signals leads us to coefficients indexed by the nodes of a dyadic tree
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