論文

査読有り
1998年12月

Removal of the phase oscillation observed in wavelet analysis in terms of spatial filtering

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
  • M Iima
  • ,
  • S Toh

67
12
開始ページ
4068
終了ページ
4073
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1143/JPSJ.67.4068
出版者・発行元
PHYSICAL SOC JAPAN

In the analysis of orthonormal wavelet, standard definitions of physical quantities such as energy in wavelet space are not free from spatial oscillation intrinsic to wavelet base function i.e., phase in contrast to the Fourier analysis. Moreover the energy summed over a scale is not translationally invariant. To remove the phase, we propose a kind of spatial averaging in terms of extended continuous wavelet. The translational invariance of energy is recovered LS means of this averaging method. This method is also applied to the transfer functions which were defined in terms of orthonormal wavelet in the previous paper [Phys. Rev. E 52 (1995) 6189].

リンク情報
DOI
https://doi.org/10.1143/JPSJ.67.4068
J-GLOBAL
https://jglobal.jst.go.jp/detail?JGLOBAL_ID=200902142074901566
CiNii Articles
http://ci.nii.ac.jp/naid/110001970738
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000077809300015&DestApp=WOS_CPL
ID情報
  • DOI : 10.1143/JPSJ.67.4068
  • ISSN : 0031-9015
  • J-Global ID : 200902142074901566
  • CiNii Articles ID : 110001970738
  • Web of Science ID : WOS:000077809300015

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