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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 Hermitian hat wavelet ： ウィキペディア英語版 Hermitian hat wavelet The Hermitian hat wavelet is a low-oscillation, complex-valued wavelet. The real and imaginary parts of this wavelet are defined to be the second and first derivatives of a Gaussian respectively: $\backslash Psi(t)=\backslash frac\}(1-t^+it)e^t^\}.$ The Fourier transform of this wavelet is: $\backslash hat(\backslash omega)=\backslash frac\}\backslash omega(1+\backslash omega)e^\backslash omega^\}.$ The Hermitian hat wavelet satisfies the admissibility criterion. The prefactor $C\_$ in the resolution of the identity of the continuous wavelet transform is: $C\_=\backslash frac\backslash sqrt.$ This wavelet was formulated by Szu in 1997 for the numerical estimation of function derivatives in the presence of noise. The technique used to extract these derivative values exploits only the argument (phase) of the wavelet and, consequently, the relative weights of the real and imaginary parts are unimportant. 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「Hermitian hat 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.