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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 Biorthogonal wavelet ： ウィキペディア英語版 Biorthogonal wavelet A biorthogonal wavelet is a wavelet where the associated wavelet transform is invertible but not necessarily orthogonal. Designing biorthogonal wavelets allows more degrees of freedom than orthogonal wavelets. One additional degree of freedom is the possibility to construct symmetric wavelet functions. In the biorthogonal case, there are two scaling functions $\backslash phi,\backslash tilde\backslash phi$, which may generate different multiresolution analyses, and accordingly two different wavelet functions $\backslash psi,\backslash tilde\backslash psi$. So the numbers ''M'' and ''N'' of coefficients in the scaling sequences $a,\backslash tilde\; a$ may differ. The scaling sequences must satisfy the following biorthogonality condition :$\backslash sum\_\; a\_n\; \backslash tilde\; a\_=2\backslash cdot\backslash delta\_$. Then the wavelet sequences can be determined as $b\_n=(-1)^n\; \backslash tilde\; a\_\; \backslash quad\; \backslash quad\; (n=0,\backslash dots,N-1)$ $\backslash tilde\; b\_n=(-1)^n\; a\_\; \backslash quad\; \backslash quad\; (n=0,\backslash dots,N-1)$. ==References== * 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「Biorthogonal 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.