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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 S transform ： ウィキペディア英語版 S transform ''S'' transform as a time–frequency distribution was developed in 1994 for analyzing geophysics data.〔Stockwell, RG, L Mansinha, and RP Lowe (1996). Localization of the complex spectrum: the S transform, ''IEEE Transactions on Signal Processing'' 44 (4), p 998-1001.〕〔Stockwell, RG (1999). ''S''-transform analysis of gravity wave activity from a small scale network of airglow imagers. PhD thesis, University of Western Ontario, London, Ontario, Canada.〕 In this way, the ''S'' transform is a generalization of the short-time Fourier transform (STFT), extending the continuous wavelet transform and overcoming some of its disadvantages. For one, modulation sinusoids are fixed with respect to the time axis; this localizes the scalable Gaussian window dilations and translations in ''S'' transform. Moreover, the ''S'' transform doesn't have a cross-term problem and yields a better signal clarity than Gabor transform. However, the ''S'' transform has its own disadvantages: it requires higher complexity computation (because FFT cannot be used), and the clarity is worse than Wigner distribution function and Cohen's class distribution function. A fast ''S'' Transform algorithm was invented in 2010.〔R. A. Brown and R. Frayne, "A fast discrete S-transform for biomedical signal processing", University of Calgary Seaman Family MR Research Centre Foothills Medical Centre, Canada. http://www.ncbi.nlm.nih.gov/pubmed/19163232〕 It reduces the computational time and resources by at least 4 orders of magnitude〔Kelly Sansom, "Fast S Transform", University of Calgary, http://www.ucalgary.ca/news/utoday/may31-2011/computing〕 and is available to the research community under an open source license.〔http://sourceforge.net/projects/fst-uofc/〕 ==Definition== There are several ways to represent the idea of the ''S'' transform. In here, ''S'' transform is derived as the phase correction of the continuous wavelet transform with window being the Gaussian function. *S-Transform :$S\_x(t,f)\; =\; \backslash int\_^\; x(\backslash tau)|f|e^\; e^\; \backslash ,\; d\; \backslash tau$ *Inverse S-Transform :$x(\backslash tau)\; =\; \backslash int\_^\backslash left(dt\backslash right)\backslash ,e^\backslash ,\; df$ 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「S 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.