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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 Sigma approximation ： ウィキペディア英語版 Sigma approximation In mathematics, σ-approximation adjusts a Fourier summation to eliminate the Gibbs phenomenon which would otherwise occur at discontinuities. A σ-approximated summation for a series of period ''T'' can be written as follows: :$s(\backslash theta)\; =\; \backslash frac\; a\_0\; +\; \backslash sum\_^\; \backslash mathrm\backslash Bigl(\backslash frac\backslash Bigr)\backslash cdot\; \backslash left(\backslash cos\; \backslash Bigl(\; \backslash frac\; \backslash theta\; \backslash Bigr)\; +b\_k\backslash sin\backslash Bigl(\; \backslash frac\; \backslash theta\; \backslash Bigr)\; \backslash right)\; ,$ in terms of the normalized sinc function :$\backslash mathrm\backslash ,\; x\; =\; \backslash frac.$ Here, the term :$\backslash mathrm\backslash Bigl(\backslash frac\backslash Bigr)$ is the Lanczos σ factor, which is responsible for eliminating most of the Gibbs phenomenon. It does not do so entirely, however, but one can square or even cube the expression to serially attenuate Gibbs Phenomenon in the most extreme cases. == See also == * Lanczos resampling 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「Sigma approximation」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.