Differintegral interpolation from a bandlimited signal's samples
- 1 August 1981
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Acoustics, Speech, and Signal Processing
- Vol. 29 (4), 872-877
- https://doi.org/10.1109/tassp.1981.1163636
Abstract
The Whittaker-Shannon cardinal series dictates that any L2bandlimited signal is defined everywhere by its (sufficiently closely spaced) sample values. This paper derives those interpolation functions necessary for direct evaluation of such a signal's derivatives, integrals, and fractional derivatives directly from the sample values. Generation and recursion formulas for these interpolation functions are presented.Keywords
This publication has 9 references indexed in Scilit:
- Sampling theory for linear integral transformsOptics Letters, 1981
- Methods of linear system characterization through response catalogingApplied Optics, 1979
- New algorithms for digital convolutionIEEE Transactions on Acoustics, Speech, and Signal Processing, 1977
- The Shannon sampling theorem—Its various extensions and applications: A tutorial reviewProceedings of the IEEE, 1977
- A representation for band-limited functionsProceedings of the IEEE, 1975
- The optimization of bandlimited systemsProceedings of the IEEE, 1973
- A Discussion of Sampling TheoremsProceedings of the IRE, 1959
- A Mathematical Theory of CommunicationBell System Technical Journal, 1948
- XVIII.—On the Functions which are represented by the Expansions of the Interpolation-TheoryProceedings of the Royal Society of Edinburgh, 1915