THE ASYMPTOTIC BEHAVIOUR OF THE m-TH ORDER CARDINAL B-SPLINE WAVELET

• Kerman, Ronald (Department of Mathematics Brock University) ;
• Kim, Mi-Ae ;
• Spektor, Susanna (Department of Mathematical and Statistical Sciences Brock University)
• Published : 2012.03.01
• 64 27

Abstract

It is well-known that the m-th order cardinal B-spline wave-let, $\psi_m$, decays exponentially. Our aim in this paper is to determine the exact rate of this decay and thereby to describe the asymptotic behaviour of $\psi_m$.

Keywords

cardinal B-spline wavelets;scaling function;exponential decay;asymptotic behaviour

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