A Note on the HRT Conjecture and a New Uncertainty Principle for the Short-Time Fourier Transform

被引：8
|
作者：
Nicola, Fabio [1 ]
Trapasso, S. Ivan [1 ]
机构：
[1] Politecn Torino, Dipartimento Sci Matemat, Corso Duca Abruzzi 24, I-10129 Turin, Italy
来源：
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2020年 / 26卷 / 04期
关键词：
Short-time Fourier transform; Uncertainty principle; HRT conjecture; LINEAR INDEPENDENCE; AMBIGUITY FUNCTIONS; SPACES;
D O I：
10.1007/s00041-020-09769-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note we provide a negative answer to a question raised by Kreisel concerning a condition on the short-time Fourier transform that would imply the HRT conjecture. In particular we provide a new type of uncertainty principle for the short-time Fourier transform which forbids the arrangement of an arbitrary "bump with fat tail" profile.
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页数：7
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