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Analytic sampling approximation by projection operator with application in decomposition of instantaneous frequency
Li Y.1; Qian T.2
2013-09-01
Source PublicationInternational Journal of Wavelets, Multiresolution and Information Processing
ISSN02196913
Volume11Issue:5
Abstract

A sequence of special functions in Hardy space are constructed from Cauchy kernel on unit disk. Applying projection operator of the sequence of functions leads to an analytic sampling approximation to f, any given function in. That is, f can be approximated by its analytic samples in . Under a mild condition, f is approximated exponentially by its analytic samples. By the analytic sampling approximation, a signal in $\mathcal{H}^{2}({\mathbb T})$ can be approximately decomposed into components of positive instantaneous frequency. Using circular Hilbert transform, we apply the approximation scheme in $\mathcal{H}^{s}({\mathbb T}^{s})$ to L() such that a signal in L() can be approximated by its analytic samples on . A numerical experiment is carried out to illustrate our results. 

KeywordAnalytic Sampling Approximation Cauchy Kernel Hardy Space Hilbert Transform Instantaneous Frequency
DOIhttps://doi.org/10.1142/S0219691313500409
URLView the original
Indexed BySCI
Language英语
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Software Engineering ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000325280800009
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Cited Times [WOS]:4   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.College of Mathematics and Information Sciences, Guangxi University, Nanning, 530004, P. R. China
2.Department of Mathematics, Faculty of Science and Technology, University of Macau, Taipa, Macao, P. R. China
Recommended Citation
GB/T 7714
Li Y.,Qian T.. Analytic sampling approximation by projection operator with application in decomposition of instantaneous frequency[J]. International Journal of Wavelets, Multiresolution and Information Processing,2013,11(5).
APA Li Y.,&Qian T..(2013).Analytic sampling approximation by projection operator with application in decomposition of instantaneous frequency.International Journal of Wavelets, Multiresolution and Information Processing,11(5).
MLA Li Y.,et al."Analytic sampling approximation by projection operator with application in decomposition of instantaneous frequency".International Journal of Wavelets, Multiresolution and Information Processing 11.5(2013).
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