A generalization of the sampling theorem
1960; Academic Press; Volume: 3; Issue: 1 Linguagem: Inglês
10.1016/s0019-9958(60)90242-4
ISSN1878-2981
Autores Tópico(s)Control Systems and Identification
ResumoThe sampling theorem for bandlimited functions allows one to reconstruct exactly a function containing no frequencies higher than W cps, given the values of the function at equispaced sampling points (R + 1)/W sec apart. This theorem is generalized to allow reconstruction, given the values of the function and its first R derivatives at equispaced sampling points, (R + 1)/2W sec apart. For large R, the R-derivative expansion approaches a Taylor's series weighted by a Gaussian density about each sample point.
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