Sampling of Bandlimited Functions
Luc F. Knockaert, Frank Olyslager · 1999
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 -flatness is satisfied. A profound relationship of the modified B-splines with the Beta distribution implies an asymp- totic sampling theorem with exact reconstruction requiring only small oversampling.