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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 Generalized spectrogram ： ウィキペディア英語版 Generalized spectrogram In order to view a signal (taken to be a function of time) represented over both time and frequency axis, time–frequency representation is used. Spectrogram is one of the most popular time-frequency representation, and generalized spectrogram, also called "two-window spectrogram", is the generalized application of spectrogram. ==Definition== The definition of the spectrogram relies on the Gabor transform (also called short-time Fourier transform, for short STFT), whose idea is to localize a signal in time by multiplying it with translations of a window function $w(t)$. The definition of spectrogram is $S\}(t,f)G\_\}(t,f)|^2$, where $$ denotes the Gabor Transform of $x(t)$. Based on the spectrogram, the generalized spectrogram is defined as $S\}\}(t,f)\; =\; (t,f)G\_^$ *(t,f), where $\backslash left(\; \backslash right)\; =\; \backslash int\_^\backslash infty\; d\backslash tau\; \}$, and $\backslash left(\; \backslash right)\; =\; \backslash int\_^\backslash infty\; d\backslash tau\; \}$ For $w\_1(t)\; =\; w\_2(t)=w(t)$, it reduces to the classical spectrogram: $S\}(t,f)G\_\}(t,f)|^2$ The feature of Generalized spectrogram is that the window sizes of $w\_1(t)$ and $w\_2(t)$ are different. Since the time-frequency resolution will be affected by the window size, if one choose a wide $w\_1(t)$ and a narrow $w\_1(t)$ (or the opposite), the resolutions of them will be high in different part of spectrogram. After the multiplication of these two Gabor transform, the resolutions of both time and frequency axis will be enhanced. 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「Generalized spectrogram」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.