A Note on Reassigned Gabor Spectrograms of Hermite Functions

被引:16
作者
Flandrin, Patrick [1 ]
机构
[1] CNRS, Ecole Normale Super Lyon, Lab Phys, UMR 5672, F-69373 Lyon 07, France
关键词
Gabor transform; Hermite functions; Time-frequency analysis; Reassignment;
D O I
10.1007/s00041-012-9253-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An explicit form is given for the reassigned Gabor spectrogram of an Hermite function of arbitrary order. It is shown that the energy concentration sharply localizes outside the border of a clearance area limited by the "classical" circle where the Gabor spectrogram attains its maximum value, with a perfect localization that can only be achieved in the limit of infinite order.
引用
收藏
页码:285 / 295
页数:11
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