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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 Gabor–Wigner transform ： ウィキペディア英語版 Gabor–Wigner transform The Gabor transform, named after Dennis Gabor, and the Wigner distribution function, named after Eugene Wigner, are both tools for time-frequency analysis. Since the Gabor transform does not have high clarity, and the Wigner distribution function has a "cross term problem" (i.e. is non-linear), a 2007 study by S. C. Pei and J. J. Ding proposed a new combination of the two transforms that has high clarity and no cross term problem.() Since the cross term does not appear in the Gabor transform, the time frequency distribution of the Gabor transform can be used as a filter to filter out the cross term in the output of the Wigner distribution function. ==Mathematical definition== * Gabor transform :$G\_x(t,f)\; =\; \backslash int\_^\backslash infty\; e^e^x(\backslash tau)\; \backslash ,\; d\backslash tau$ * Wigner distribution function :$W\_x(t,f)=\backslash int\_^\backslash infty\; x(t+\backslash tau/2)x^$ *(t-\tau/2)e^ \, d\tau * Gabor–Wigner transform :There are many different combinations to define the Gabor–Wigner transform. Here four different definitions are given. # $D\_x(t,f)=G\_x(t,f)\backslash times\; W\_x(t,f)$ # $D\_x(t,f)=\backslash min\backslash left\backslash$ # $D\_x(t,f)=W\_x(t,f)\backslash times\; \backslash$ # $D\_x(t,f)=G\_x^(t,f)W\_x^(t,f)$ 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「Gabor–Wigner transform」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.