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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Meyer wavelet ： ウィキペディア英語版 Meyer wavelet The Meyer wavelet is an orthogonal wavelet proposed by Yves Meyer. It is infinitely differentiable with infinite support and defined in frequency domain in terms of function $\backslash nu$ as: :$\backslash Psi\; (\; \backslash omega)\; :=\; \backslash begin$ \frac \nu \left(\frac -1\right)\right) e^ & \text 2 \pi /3<|\omega|< 4 \pi /3, \\ \frac \nu \left(\frac-1\right)\right) e^ & \text 4 \pi /3<| \omega|< 8 \pi /3, \\ 0 & \text, \end where: :$\backslash nu\; (x)\; :=\; \backslash begin$ 0 & \text x < 0, \\ x & \text 0< x < 1, \\ 1 & \text x > 1. \end There are many different ways for defining this auxiliary function, which yields variants of the Meyer wavelet. For instance, another standard implementation adopts :$\backslash nu\; (x)\; :=\; \backslash begin$ (35-84x+70-20) & \text 0< x < 1, \\ 0 & \text. \end The Meyer scale function is given by: :$\backslash Phi\; (\; \backslash omega)\; :=\; \backslash begin$ \frac | \omega|< 2 \pi /3, \\ \frac \nu \left(\frac -1\right) \right) & \text 2\pi/3<|\omega|< 4\pi/3, \\ 0 & \text. \end In the time-domain, the waveform of the Meyer mother-wavelet has the shape as shown in the following figure: ==References== * Meyer (Y.), ''Ondelettes et Opérateurs'', Hermann, 1990. * Daubechies, (I.), ''Ten lectures on wavelets'', CBMS-NSF conference series in applied mathematics, SIAM Ed., pp. 117–119, 137, 152, 1992. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Meyer wavelet」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.