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DOI QR Code

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

  • Kerman, Ronald ;
  • Kim, Mi-Ae ;
  • Spektor, Susanna
  • Received : 2010.11.16
  • Published : 2012.03.01

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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