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On the construction of new families of wavelets

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Abstract

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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Authors and Affiliations

  1. Institute of Mathematics, University of Tsukuba, Tsukuba, Ibaraki, 305-8571, Japan

    Naohiro Fukuda & Tamotu Kinoshita

Authors
  1. Naohiro Fukuda
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  2. Tamotu Kinoshita
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Correspondence to Naohiro Fukuda.

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Fukuda, N., Kinoshita, T. On the construction of new families of wavelets. Japan J. Indust. Appl. Math. 29, 63–82 (2012). https://doi.org/10.1007/s13160-011-0050-0

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  • DOI: https://doi.org/10.1007/s13160-011-0050-0

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