论文标题
在带有局部抽样的正规化香农采样公式上
On regularized Shannon sampling formulas with localized sampling
论文作者
论文摘要
在本文中，我们提出了新的正规化Shannon采样公式，该公式使用具有特殊窗口功能的本地化采样，即高斯，B-Spline和SINH型窗口函数。与经典的香农采样系列相反，正规化的香农采样公式具有指数衰减，并且在存在噪声的情况下在数值上具有稳健性。几个数值实验说明了理论结果。
In this paper we present new regularized Shannon sampling formulas which use localized sampling with special window functions, namely Gaussian, B-spline, and sinh-type window functions. In contrast to the classical Shannon sampling series, the regularized Shannon sampling formulas possess an exponential decay and are numerically robust in the presence of noise. Several numerical experiments illustrate the theoretical results.
