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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 orthogonal wavelet ： ウィキペディア英語版 orthogonal wavelet An orthogonal wavelet is a wavelet whose associated wavelet transform is orthogonal. That is, the inverse wavelet transform is the adjoint of the wavelet transform. If this condition is weakened one may end up with biorthogonal wavelets. == Basics == The scaling function is a refinable function. That is, it is a fractal functional equation, called the refinement equation (twin-scale relation or dilation equation): :$\backslash phi(x)=\backslash sum\_^\; a\_k\backslash phi(2x-k)$, where the sequence $(a\_0,\backslash dots,\; a\_)$ of real numbers is called a scaling sequence or scaling mask. The wavelet proper is obtained by a similar linear combination, :$\backslash psi(x)=\backslash sum\_^\; b\_k\backslash phi(2x-k)$, where the sequence $(b\_0,\backslash dots,\; b\_)$ of real numbers is called a wavelet sequence or wavelet mask. A necessary condition for the ''orthogonality'' of the wavelets is that the scaling sequence is orthogonal to any shifts of it by an even number of coefficients: :$\backslash sum\_\; a\_n\; a\_=2\backslash delta\_$ In this case there is the same number ''M=N'' of coefficients in the scaling as in the wavelet sequence, the wavelet sequence can be determined as $b\_n=(-1)^n\; a\_$. In some cases the opposite sign is chosen. 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「orthogonal 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.