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1. 湖北大学数学与计算机科学学院
2. 武汉数字工程研究所
纸质出版日期:2009-02-01,
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[1]张志会,张志云,蔡建宏.规范加权窗口Fourier变换[J].武汉大学学报(理学版),2009,55(02):141-144.
ZHANG ZHIHUI1, ZHANG ZHIYUN2, CAI JIANHONG1. Windowed Fourier Transform with Normalized Weight. [J]. 2009, 55(2): 141-144.
[1]张志会,张志云,蔡建宏.规范加权窗口Fourier变换[J].武汉大学学报(理学版),2009,55(02):141-144. DOI:
ZHANG ZHIHUI1, ZHANG ZHIYUN2, CAI JIANHONG1. Windowed Fourier Transform with Normalized Weight. [J]. 2009, 55(2): 141-144. DOI:
采用传统的窗口Fourier变换的加窗方法
对L2(R)空间中的加权Fourier变换进行加窗
通过图示的方法说明构造的规范加权窗口Fourier变换的实质是把一个信号划分成许多小的时间间隔
用加权Fourier变换分析每个时间间隔
并推出了此规范加权窗口Fourier变换在算子弱收敛与强收敛意义下的重构公式.
By using the method of constructing the windowed Fourier transform on the basis of the traditional Fourier transform
this paper adds a window function to the weighted Fourier transform
and through a figure
illustrates the essence of the windowed Fourier transform with a normalized weight
that is
that dividing a signal into many intervals and analyzing every interval by using the weighted Fourier transform
and offers two inverse formulas in the sense of weak and strong convergence.
加权窗口Fourier变换重构公式弱收敛强收敛
windowed Fourier transform with a weightinverse formulaweak convergencestrong convergence
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