Weighted sampling and signal reconstruction in spline subspaces

Authors:
Jun Xian;Shi-Ping Luo;Wei Lin
Affiliations:
Department of Mathematics, Zhejiang University, Hangzhou, PR China;Department of Mathematics, South China Normal University, Guangzhou, PR China;Department of Mathematics, Sun Yat-sen University, Guangzhou, PR China
Venue:
Signal Processing
Year:
2006

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Abstract

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.