Recent Progress of Shannon Sampling Theory with Applications

Jing Fan Long; Yong Jie Han; Pei Xin Ye

doi:10.4028/www.scientific.net/AMM.529.354

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 529Recent Progress of Shannon Sampling Theory with...

Recent Progress of Shannon Sampling Theory with Applications

Abstract:

Errors appear when the Shannon sampling series is applied to approximate a signal in practice since the measured sampled values are usually given by averages of a function or the sampled values with amplitude error and time-jitter error. In this paper we give a survey of recent progress of the study of error analysismulti-dimensional Whittaker-Shannon sampling expansion approximations with these measured values.

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Periodical:

Applied Mechanics and Materials (Volume 529)

Pages:

354-358

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.529.354

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Online since:

June 2014

Authors:

Jing Fan Long*, Yong Jie Han, Pei Xin Ye

Keywords:

Measured Sampled Values, Shannon Sampling Theorem, Sobolev Class

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