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Signal moments for the short-time Fourier transform associated with Hardy-Sobolev derivatives
Liu,M.1; Kou,K. I.2; Morais,J.3; Dang,P.4
2015-09-15
Source PublicationMathematical Methods in the Applied Sciences
ISSN0170-4214
Volume38Issue:13Pages:2719-2730
AbstractThe short-time Fourier transform has been shown to be a powerful tool for non-stationary signals and time-varying systems. This paper investigates the signal moments in the Hardy-Sobolev space that do not usually have classical derivatives. That is, signal moments become valid for non-smooth signals if we replace the classical derivatives by the Hardy-Sobolev derivatives. Our work is based on the extension of Cohen's contributions to the local and global behaviors of the signal. The relationship of the moments and spreads of the signal in the time, frequency and short-time Fourier domain are established in the Hardy-Sobolev space.
Keywordamplitude-phase representation of signal Hardy-Sobolev space Hilbert transform instantaneous frequency short-time Fourier transform signal moment
DOI10.1002/mma.3254
URLView the original
Language英语
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Cited Times [WOS]:4   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.School of Mathematical Sciences,South China Normal University,Guangzhou,China
2.Department of Mathematics,Faculty of Science and Technology,University of Macau,Macao
3.Center for Research and Development in Mathematics and Applications,Department of Mathematics,University of Aveiro,Aveiro,Portugal
4.Department of General Education,Macau University of Science and Technology,Macao
Recommended Citation
GB/T 7714
Liu,M.,Kou,K. I.,Morais,J.,et al. Signal moments for the short-time Fourier transform associated with Hardy-Sobolev derivatives[J]. Mathematical Methods in the Applied Sciences,2015,38(13):2719-2730.
APA Liu,M.,Kou,K. I.,Morais,J.,&Dang,P..(2015).Signal moments for the short-time Fourier transform associated with Hardy-Sobolev derivatives.Mathematical Methods in the Applied Sciences,38(13),2719-2730.
MLA Liu,M.,et al."Signal moments for the short-time Fourier transform associated with Hardy-Sobolev derivatives".Mathematical Methods in the Applied Sciences 38.13(2015):2719-2730.
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