Differintegral interpolation from a bandlimited signal's samples
Robert J. Marks, Matt Hall · IEEE Transactions on Acoustics Speech and Signal Processing · 1981
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.