Xian, Jun; Luo, Shi-Ping; Lin, Wei Weighted sampling and signal reconstruction in spline subspaces. (English) Zbl 1163.94407 Signal Process. 86, No. 2, 331-340 (2006). Summary: We construct a reproducing kernel in spline subspaces and use the reproducing kernel to obtain a reconstruction formula from the weighted samples and incremental integral samples. We also improve the A-P iterative algorithm, and use the algorithm to implement the reconstruction from weighted samples, and obtain the explicit convergence rate of the algorithm in spline subspaces. Cited in 23 Documents MSC: 94A12 Signal theory (characterization, reconstruction, filtering, etc.) Keywords:irregular sampling; iterative algorithm; spline subspace; shift-invariant space; reproducing kernel PDFBibTeX XMLCite \textit{J. Xian} et al., Signal Process. 86, No. 2, 331--340 (2006; Zbl 1163.94407) Full Text: DOI