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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 Publication International Journal of Wavelets, Multiresolution and Information Processing ISSN 02196913 Volume 11Issue: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. Keyword Analytic Sampling Approximation Cauchy Kernel Hardy Space Hilbert Transform Instantaneous Frequency DOI https://doi.org/10.1142/S0219691313500409 URL View the original Indexed By SCI Language 英语 WOS Research Area Computer Science ; Mathematics WOS Subject Computer Science, Software Engineering ; Mathematics, Interdisciplinary Applications WOS ID WOS:000325280800009 Fulltext Access Citation statistics Cited Times [WOS]:4   [WOS Record]     [Related Records in WOS] Document Type Journal article Collection DEPARTMENT OF MATHEMATICS Affiliation 1.College of Mathematics and Information Sciences, Guangxi University, Nanning, 530004, P. R. China2.Department of Mathematics, Faculty of Science and Technology, University of Macau, Taipa, Macao, P. R. China Recommended CitationGB/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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