Sampling and quasi-optimal approximation for signals in a reproducing kernel space of homogeneous type
Sampling and quasi-optimal approximation for signals in a reproducing kernel space of homogeneous type
复制标题
齐次型再生核空间中信号的采样和拟最优逼近
DOI：
10.1016/j.cam.2017.01.016
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发表时间：
2017
影响因子：
2.4
通讯作者：
Suping Wang
中科院分区：
文献类型：
--
作者：
Yingchun Jiang;Suping Wang
This paper considers the reconstruction of signals in a reproducing kernel space of homogeneous type from finite samples. First, a pre-reconstruction operator based on finite samples and probability measure is proposed and its bounded property is studied. Secondly, the stability and an iterative algorithm with exponential convergence are established for sampling and recovering signals in a subspace of homogeneous reproducing kernel space. Then, we.show that the proposed algorithm also provides a quasi-optimal approximation to signals in a reproducing kernel space of homogeneous type. Finally, some numerical simulations are given to reconstruct signals on an interval.
