On the new family of wavelets interpolating to the Shannon wavelet

• Fukuda Naohiro

  Institute of Mathematics, University of Tsukuba

• Kinoshita Tamotu

  Institute of Mathematics, University of Tsukuba

Abstract

There are various types of orthogonal wavelet families with order parameters. In this paper we introduce a new family of wavelets 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 $1/2$.

Journal

• JSIAM Letters

  JSIAM Letters 3 (0), 33-36, 2011

  The Japan Society for Industrial and Applied Mathematics

Keywords

• Shannon wavelet
• Haar wavelet
• Battle-Lemarié wavelet

Details

• CRID: 1390001205301235456
• NII Article ID: 130000674186
• DOI: 10.14495/jsiaml.3.33
• ISSN: 18830617
• ISSN: 18830609
• Web Site: https://www.jstage.jst.go.jp/article/jsiaml/3/0/3_0_33/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed