Truncation Error and Aliasing Error for Whittaker-Shannon Sampling Expansion

摘要：

Let BpΩ,1 ≤ p< ∞, be the set of all bounded functions from Lp(IR) which can be extended to entire functions of exponential type Ω. The uniform bounds for truncation error of Shannon expansion based on local sampling are derived for functions f ∈ BpΩ without decay assumption. Then we obtain the uniform bounds of aliasing error and truncation error for non-bandlimited functions from Sobolev classes.

作者: LONG Jingfan YE Peixin YUAN Xiuhua

作者单位: Beijing Information Science and Technology University, Beijing 100101, P.R.China Beijing Information Science and Technology University, Beijing 100101, P.R.China School of Mathemati School of Mathematics and LPMC, Nankai University, Tianjin 300071, P.R.China

会议类型: 国际会议

会议名称: The 30th Chinese Control Conference(第三十届中国控制会议)

会议地点: 烟台

会议语种:英文

页码: 1-3

在线出版日期: 2011-07-01（万方平台首次上网日期，不代表论文的发表时间）