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In mathematics the finite Fourier transform may refer to either * another name for the discrete Fourier transform〔J. Cooley, P. Lewis, and P. Welch, "The finite Fourier transform," ''IEEE Trans. Audio Electroacoustics'' 17 (2), 77-85 (1969).〕 or * another name for the Fourier series coefficients〔George Bachman, Lawrence Narici, and Edward Beckenstein, ''Fourier and Wavelet Analysis'' (Springer, 2004), p. 264.〕 or * a transform based on a Fourier-transform-like integral applied to a function , but with integration only on a finite interval, usually taken to be the interval .〔M. Eugene, "(High accuracy evaluation of the finite Fourier transform using sampled data )," NASA technical report TME110340 (1997).〕 Equivalently, it is the Fourier transform of a function multiplied by a rectangular window function. That is, the finite Fourier transform of a function on the finite interval is given by: : ==References== 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「Finite Fourier transform」の詳細全文を読む スポンサード リンク
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