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

抄録

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 $1/2$.

収録刊行物

• JSIAM Letters

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

  一般社団法人 日本応用数理学会

キーワード

• Shannon wavelet
• Haar wavelet
• Battle-Lemarié wavelet

詳細情報

• CRID: 1390001205301235456
• NII論文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
• 本文言語コード: en
• データソース種別:
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• 抄録ライセンスフラグ: 使用不可