Inversion formula for the windowed Fourier transform, II

被引：2
|
作者：
Sun, Xudong [1 ]
Sun, Wenchang [2 ,3 ]
机构：
[1] Hohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China
[2] Nankai Univ, Dept Math, Tianjin 300071, Peoples R China
[3] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
来源：
ADVANCES IN COMPUTATIONAL MATHEMATICS | 2013年 / 38卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Windowed Fourier transform; Inversion formula;
D O I：
10.1007/s10444-011-9223-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the approximation of the inversion of windowed Fourier transforms using Riemannian sums. We show that for certain window functions, the Riemannian sums are well defined on L (p) (a"e), 1 < p < a, and tend to the function to be reconstructed as the sampling density tends to infinity.
引用
收藏
页码：21 / 34
页数：14
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