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Sampling error analysis and some properties of non-bandlimited signals that are reconstructed by generalized sinc functions
Li Y.1,2; Chen Q.3; Qian T.2; Wang Y.4
2014-02-01
Source PublicationApplicable Analysis
ISSN0003-6811 1563-504X
Volume93Issue:2Pages:305-315
Abstract

Recently, efforts have been made to use generalized sinc functions to perfectly reconstruct various kinds of non-bandlimited signals. As a consequence, perfect reconstruction sampling formulas have been established using such generalized sinc functions. This paper studies the error of the reconstructed non-bandlimited signal when an adaptive truncation scheme is employed. Further, when there are noises present in the samples, estimation on the expectation and variance of the error pertinent to the reconstructed signal is also given. Finally discussed are the reproducing properties and the Sobolev smoothness of functions in the space of non-bandlimited signals that admits such a sampling formula. 

KeywordGeneralized Sinc Function Noisy Error Non-bandlimited Signal Reproducing Property Sampling Theorem Sobolev Smoothness Truncated Error
DOIhttps://doi.org/10.1080/00036811.2013.769135
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000331601900005
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Cited Times [WOS]:2   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.College of Mathematics and Information Sciences, Guangxi University, Nanning, China
2.Department of Mathematics, Faculty of Science and Technology, University of Macau, Taipa, Macao, China
3.Cisco School of Informatics, Guangdong University of Foreign Studies, Guangzhou, China
4.Department of Mathematics, Auburn University at Montgomery, AL 36124-4023, Montgomery, P.O. Box 244023, USA
First Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Li Y.,Chen Q.,Qian T.,et al. Sampling error analysis and some properties of non-bandlimited signals that are reconstructed by generalized sinc functions[J]. Applicable Analysis,2014,93(2):305-315.
APA Li Y.,Chen Q.,Qian T.,&Wang Y..(2014).Sampling error analysis and some properties of non-bandlimited signals that are reconstructed by generalized sinc functions.Applicable Analysis,93(2),305-315.
MLA Li Y.,et al."Sampling error analysis and some properties of non-bandlimited signals that are reconstructed by generalized sinc functions".Applicable Analysis 93.2(2014):305-315.
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