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
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Science+Business Media New York
About this chapter
Cite this chapter
Walter, G.G. (2001). Wavelets and Sampling. In: Benedetto, J.J., Ferreira, P.J.S.G. (eds) Modern Sampling Theory. Applied and Numerical Harmonic Analysis. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0143-4_3
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0143-4_3
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6632-7
Online ISBN: 978-1-4612-0143-4
eBook Packages: Springer Book Archive