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2013 (Vol. 5, Issue: 03)
Article Information:

Error Analysis for Shannon Sampling Series Approximation with Measured Sampled Values

Peixin Ye
Corresponding Author:  Peixin Ye 

Key words:  Besov class, local averages, measured sampled values, modulus of continuity, Shannon sampling theorem, truncation error,
Vol. 5 , (03): 858-864
Submitted Accepted Published
June 13, 2012 July 18, 2012 January 21, 2013

Errors appear when the Shannon sampling series is applied to reconstruct a signal in practice. In this paper, we study a general model that uses linear functional to cover several errors in one formula, and consider sampling series with measured sampled values for not band-limited signals but satisfying some decay condition. We obtain the uniform truncated error bound of Shannon series approximation for multivariate Besov class. The results show this kind of Shannon series can approximate a smooth signal well.
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  Cite this Reference:
Peixin Ye, 2013. Error Analysis for Shannon Sampling Series Approximation with Measured Sampled Values.  Research Journal of Applied Sciences, Engineering and Technology, 5(03): 858-864.
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ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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