On the construction of new families of wavelets

In this paper, we introduce a new kind of wavelet which converges in L q to the Shannon wavelet as the order parameter n increases. In particular, we shall give a symmetric orthogonal scaling function whose time-bandwidth product is near 1/2 and describe some applications.

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Bibliographic Details
Published inJapan journal of industrial and applied mathematics Vol. 29; no. 1; pp. 63 - 82
Main Authors Fukuda, Naohiro, Kinoshita, Tamotu
Format Journal Article
LanguageEnglish
Published Japan Springer Japan 01.02.2012
Springer Nature B.V
Subjects
Applications of Mathematics
Computational Mathematics and Numerical Analysis
Mathematics
Mathematics and Statistics
Original Paper
Shannon wavelet
Battle–Lemarié wavelet
Time-bandwidth product
42C40
65T60
Haar wavelet
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Summary:In this paper, we introduce a new kind of wavelet which converges in L q to the Shannon wavelet as the order parameter n increases. In particular, we shall give a symmetric orthogonal scaling function whose time-bandwidth product is near 1/2 and describe some applications.
ISSN:0916-7005
1868-937X
DOI:10.1007/s13160-011-0050-0