Wavelets and Sampling

  • Gilbert G. Walter
Chapter
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Abstract

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

Keywords

Attenuation Autocorrelation Sine Dition Aliasing 

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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Gilbert G. Walter

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