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 کاملSampling Theory and Wavelets
We introduce the theory of frames and develop wavelet theory as a natural extension of the Classical Sampling Theorem. This material serves as background for our applications to periodicity detection, noise reduction, and multidimensional irregular sampling.
متن کاملWavelets and Field Forecast Verification
Current field forecast verification measures are inadequate, primarily because they compress the comparison between two complex spatial field processes into one number. Discrete wavelet transforms (DWTs) applied to analysis and contemporaneous forecast fields prove to be an insightful approach to verification problems. DWTs allow both filtering and compact physically interpretable partitioning ...
متن کاملDiscrete wavelets and perturbation theory
We show with the help of examples that discrete wavelets can be a useful tool in perturbation theory of finite-dimensional quantum Hamilton systems. PACS numbers: 02.30.Nw, 02.70.−c In perturbation theory the Hamilton operator Ĥ is given by Ĥ = Ĥ 0 + Ĥ 1 where Ĥ 0 and Ĥ 1 are self-adjoint operators in a Hilbert space [1]. It is assumed that the perturbation Ĥ 1 is relatively ‘small’ in comparis...
متن کاملScattering Theory for Orthogonal Wavelets
We apply the Lax-Phillips wave equation scattering theory to multiresolutions associated with wavelets: For the wavelet scattering, the translation symmetry, the scaling operator, and the scaling function are identiied in the scattering theoretic spectral transform; the scaling function is shown to be analytic; and an analytic spectral function is identiied as an invariant for multiresolutions,...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review D
سال: 2013
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.87.116011