Weighted sampling and signal reconstruction in spline subspaces

• DOI: 10.1016/j.sigpro.2005.05.013
• Publication Date: 2005-07-12T20:06:18Z
• Authors: Jun Xian; Shi-Ping Luo; Wei Lin
• Keywords: 0101 mathematics; 01 natural sciences

In this paper, 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.