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Article Information:
Error Analysis for Shannon Sampling Series Approximation with Measured Sampled Values
Peixin Ye
Corresponding Author: Peixin Ye
Submitted: June 13, 2012
Accepted: July 18, 2012
Published: January 21, 2013 |
Abstract:
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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.
Key words: Besov class, local averages, measured sampled values, modulus of continuity, Shannon sampling theorem, truncation error,
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Cite this Reference:
Peixin Ye, . Error Analysis for Shannon Sampling Series Approximation with Measured Sampled Values. Research Journal of Applied Sciences, Engineering and Technology, (03): 858-864.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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