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
- ,
- 巻
- 67
- 号
- 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
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- 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