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Modified B-splines for the sampling of bandlimited functions

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2 Author(s)
Knockaert, L. ; Dept. of Inf. Technol., INTEC, Gent, Belgium ; Olyslager, F.

It is shown that there is an optimal finite linear combination of B-splines (denominated modified B-splines) such that a pertinent low frequency condition called M-flatness is satisfied. A profound relationship of the modified B-splines with the beta distribution implies an asymptotic sampling theorem with exact reconstruction requiring only small oversampling

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Signal Processing, IEEE Transactions on  (Volume:47 ,  Issue: 8 )