Wavelets and Sampling
Sampling theorems are usually restricted to bandlimited signals for which the classical WSK theorem holds. But other spaces of nonbandlimited signals also may lead to such theorems. In particular reproducing kernel Hilbert spaces have a natural affinity for such theorems. Simplest are the Sobolev spaces for some of which the sampling theorem involves an impulse train. Others include most (perhaps all) wavelet subspaces even those with a compactly supported basis. These can also sometimes be extended to Hermite
KeywordsScaling Function Reproduce Kernel Hilbert Space Multiresolution Analysis Riesz Basis Sampling Theorem
Unable to display preview. Download preview PDF.