Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
Theory
On the Stömberg Wavelet of Order 4
Naohiro FukudaTamotu Kinoshita
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2017 Volume 27 Issue 2 Pages 162-185

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Abstract

Abstract. The Stömberg wavelet was constructed as the first smooth orthonormal wavelet. In this paper, by reconsidering the derivation of the construction we produce an analogue type of wavelet. The Stömberg wavelet of order 4 and its analogue type correspond to the B-spline N4(x) which is useful in industrial application. We also investigate the symmetricity property.

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© 2017 by The Japan Society for Industrial and Applied Mathematics
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