Weighted sampling and signal reconstruction in spline subspaces

Jun Xian, Shi-Ping Luo, Wei Lin
2006 Signal Processing  
In this paper, we construct reproducing kernel in spline subspaces and use the reproducing kernel to obtain reconstructions formula from the weighted samples and incremental integral samples. We also improve A-P iterative algorithm, and use the algorithm to implement the reconstruction from weighted samples, and obtain explicit convergence rate of the algorithm in spline subspaces.
doi:10.1016/j.sigpro.2005.05.013 fatcat:4hhbtbraxjcktdzw6uizggtb5q