Welcome to Journal of University of Chinese Academy of Sciences,Today is
论文

Truncated error estimate on sampling theorem

  • Hu yi
Expand
  • School of Mathematical Sciences, Graduate University of the Chinese Academy of Sciences, Beijing 100190, China

Received date: 1900-01-01

  Revised date: 1900-01-01

  Online published: 2008-07-15

Abstract

In this paper we discuss the truncated error estimate on Shannon sampling theorem of bandlimited functions. We mainly focus on error of pointwise type, uniform type and integral type. In pointwise type, we use the method of calcuating Dirichlet kernel and obtain the order O(1/N); in uniform and integral type, by calculating the decaying condition imposed on the function, we can get the uniform and integral estimate.

Cite this article

Hu yi . Truncated error estimate on sampling theorem[J]. Journal of University of Chinese Academy of Sciences, 2008 , 25(4) : 460 -466 . DOI: 10.7523/j.issn.2095-6134.2008.4.005

Outlines

/