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Differintegral interpolation from a bandlimited signal's samples

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2 Author(s)
Marks, R.J. ; University of Washington, Seattle, WA, USA ; Hall, M.

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.

Published in:

Acoustics, Speech and Signal Processing, IEEE Transactions on  (Volume:29 ,  Issue: 4 )