Uniform Error Bounds for Reconstruct Functions from Weighted Bernstein Class

Peixin Ye, Yongjie HAN

Abstract


Errors appear when the Shannon sampling series is applied to reconstruct a signal in practice. This is because the sampled values may not be exact, or the sampling series may have to be truncated. In this paper, we study errors in truncated sampling series with localized sampling for band-limited functions from weighted Bernstein class. And we apply these results to some practical examples.

 

DOI: http://dx.doi.org/10.11591/telkomnika.v11i8.3078


Keywords


Shannon Expansion (SE); Localized Sampling (LS); Truncation Error (TE); Weighted Berstein Space (WBS)

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Indonesian Journal of Electrical Engineering and Computer Science (IJEECS)
p-ISSN: 2502-4752, e-ISSN: 2502-4760
This journal is published by the Institute of Advanced Engineering and Science (IAES) in collaboration with Intelektual Pustaka Media Utama (IPMU).

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