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Representation of Operators by Sampling in the Time-Frequency Domain
被引：0
作者：
Monika Dörfler
Bruno Torrésani
机构：
[1] Universität Wien,Institut für Mathematik
[2] LATP,Université de Provence
[3] UMR CNRS 6632,undefined
[4] CMI,undefined
来源：
Sampling Theory in Signal and Image Processing
|
2011年
/
10卷
/
1-2期
关键词：
Operator approximation;
time-frequency;
Gabor multiplier;
error estimates;
47B38;
47G30;
94A12;
65F20;
D O I：
10.1007/BF03549540
中图分类号：
学科分类号：
摘要：
Gabor multipliers are well-suited for the approximation of certain time-variant systems. However, this class of systems is rather restricted. To overcome this restriction, multiple Gabor multipliers allowing for more than one synthesis windows are introduced. The influence of the choice of the various parameters involved on approximation quality is studied for both classical and multiple Gabor multipliers. Fairly simple error estimates are provided, and the study is supplemented by numerical simulations. This paper is an extended and improved version of [6].
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页码：171 / 190
页数：19
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