Sampling and II-Sampling Expansions
[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.
[发布日期] [发布机构]
[效力级别] [学科分类] 数学(综合)
[关键词] Sampling expansions;WKS sampling theorem;non-standard analysis;hyperfinite sums. [时效性]