Title :
Modified B-splines for the sampling of bandlimited functions
Author :
Knockaert, Luc ; Olyslager, Frank
Author_Institution :
Dept. of Inf. Technol., INTEC, Gent, Belgium
fDate :
8/1/1999 12:00:00 AM
Abstract :
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
Keywords :
bandlimited signals; signal sampling; splines (mathematics); M-flatness; asymptotic sampling theorem; bandlimited functions; beta distribution; low frequency condition; modified B-splines; oversampling; Convolution; Fourier transforms; Frequency; H infinity control; Information technology; Kernel; Sampling methods; Signal sampling; Spline; Upper bound;
Journal_Title :
Signal Processing, IEEE Transactions on
