Sharp rates of convergence for accumulated spectrograms

被引：15

作者：

Abreu, Luis Daniel ^{[1
]}

Pereira, Joao M. ^{[2
]}

Romero, Jose Luis ^{[1
]}

机构：

[1] Austrian Acad Sci, Acoust Res Inst, Wohllebengasse 12-14, A-1040 Vienna, Austria

[2] Princeton Univ, Program Appl & Computat Math, Princeton, NJ 08544 USA

来源：

INVERSE PROBLEMS | 2017年 / 33卷 / 11期

基金：

奥地利科学基金会;

关键词：

Gabor; time-frequency analysis; localization operator; uncertainty principle; spectrogram; phase-space; TIME-FREQUENCY LOCALIZATION; SPHEROIDAL WAVE-FUNCTIONS; VARIANT LINEAR CHANNELS; PHASE-SPACE APPROACH; FOURIER-ANALYSIS; UNCERTAINTY PRINCIPLES; OPERATORS; RETRIEVAL; SIGNALS;

D O I：

10.1088/1361-6420/aa8d79

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate an inverse problem in time-frequency localization: the approximation of the symbol of a time-frequency localization operator from partial spectral information by the method of accumulated spectrograms (the sum of the spectrograms corresponding to large eigenvalues). We derive a sharp bound for the rate of convergence of the accumulated spectrogram, improving on recent results.

引用

页数：12

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