Sampling and II-Sampling Expansions

Proceedings Mathematical Sciences

J Sousa Pinto²  R F Hoskins¹ 

[1] Department of Mathematical Sciences, De Montfort University, Leicester, UK$$;Departamento de MatemaÂtica, Universidade de Aveiro, Aveiro, Portugal$$

关键词: Sampling expansions;    WKS sampling theorem;    non-standard analysis;    hyperfinite sums.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Using the hyperfinite representation of functions and generalized functions this paper develops a rigorous version of the so-called `delta method' approach to sampling theory. This yields a slightly more general version of the classical WKS sampling theorem for band-limited functions.

【 授权许可】

Unknown