Weighted sampling and reconstruction in weighted reproducing kernel spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:367

Article

Xian, Jun

关键词: Sampling;    Reconstruction algorithm;    Reproducing kernel space;    Idempotent operator;    Weight;   

DOI  :  10.1016/j.jmaa.2009.12.027

来源: Elsevier

【 摘 要 】

In this paper, we discuss sampling and reconstruction of signals in the weighted reproducing kernel space associated with an idempotent integral operator. We show that any signal in that space can be stably reconstructed from its weighted samples taken on a relatively-separated set with sufficiently small gap. We also develop an iterative reconstruction algorithm for the reconstruction of a signal from its weighted samples taken on a relatively-separated set with sufficiently small gap. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free