Reconstructing a band-limited function from its finite sample data is a fundamental task in signal analysis. A simple Gaussian or hyper-Gaussian regularized Shannon sampling series has been proved to be able to achieve exponential convergence for uniform sampling. In this paper, we prove that exponential approximation can also be attained for general nonuniform sampling. The analysis is based on the the residue theorem to represent the truncated error by a contour integral. Several concrete examples of nonuniform sampling with exponential convergence will be presented.

翻译：信号分析的一项基本任务是,从有限的抽样数据中重新构建带宽功能,这是信号分析的一项基本任务。简单的高森或高森高原或高空的香农常规采样系列已证明能够达到统一采样的指数趋同。在本文中,我们证明一般非统一采样也可以达到指数近似值。分析的基础是残留物定理,以表示轮廓整体截断的误差。将提出若干与指数趋同不统一的采样的具体例子。