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.
引用
收藏
页数：7
相关论文
共 50 条
  • [31] SHORT-TIME FOURIER-TRANSFORM AND WAVELET TRANSFORM WITH FOURIER-DOMAIN PROCESSING
    YU, FTS
    LU, GW
    APPLIED OPTICS, 1994, 33 (23): : 5262 - 5270
  • [32] Fourier Transform and Short-Time Fourier Transform Decomposition for Photovoltaic Arc Fault Detection
    Balamurugan, Rahul
    Al-Janahi, Fatima
    Bouhali, Oumaima
    Shukri, Sawsan
    Abdulmawjood, Kais
    Balog, Robert S.
    2020 47TH IEEE PHOTOVOLTAIC SPECIALISTS CONFERENCE (PVSC), 2020, : 2737 - 2742
  • [33] Optical Doppler tomography with short-time Fourier transform and Hilbert transform
    Meng, Jie
    Ding, Zhihua
    OPTICS IN HEALTH CARE AND BIOMEDICAL OPTICS III, 2008, 6826
  • [34] On uncertainty principle of the local polynomial Fourier transform
    Li, Xiumei
    Bi, Guoan
    Li, Shenghong
    EURASIP JOURNAL ON ADVANCES IN SIGNAL PROCESSING, 2012,
  • [35] On uncertainty principle of the local polynomial Fourier transform
    Xiumei Li
    Guoan Bi
    Shenghong Li
    EURASIP Journal on Advances in Signal Processing, 2012
  • [36] On Phase-Magnitude Relationships in the Short-Time Fourier Transform
    Auger, Francois
    Chassande-Mottin, Eric
    Flandrin, Patrick
    IEEE SIGNAL PROCESSING LETTERS, 2012, 19 (05) : 267 - 270
  • [37] Short-Time Fourier Transform Based on Stimulated Brillouin Scattering
    Zuo, Pengcheng
    Ma, Dong
    Chen, Yang
    JOURNAL OF LIGHTWAVE TECHNOLOGY, 2022, 40 (15) : 5052 - 5061
  • [38] Cardiac murmur analysis using the short-time fourier transform
    Debbal, S. M.
    Bereksi-Reguig, F.
    JOURNAL OF MECHANICS IN MEDICINE AND BIOLOGY, 2006, 6 (03) : 273 - 284
  • [39] Analysis on weak Signals with Short-Time Fourier Transform Method
    Yu Qida
    Li Yalin
    Wang Jin
    MECHATRONICS ENGINEERING, COMPUTING AND INFORMATION TECHNOLOGY, 2014, 556-562 : 5003 - +
  • [40] Parametric Audio Equalizer Based on Short-Time Fourier Transform
    Zhang, Peng
    Li, Ye
    Wu, Xiaoming
    Liu, Xiangzhi
    Hao, Qiuyun
    Liang, Yan
    2017 17TH IEEE INTERNATIONAL CONFERENCE ON COMMUNICATION TECHNOLOGY (ICCT 2017), 2017, : 1648 - 1651
12345