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

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2013年 / 19卷 / 02期

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

页码：285 / 295

页数：11

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