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Weighted sampling and signal reconstruction in spline subspaces. (English) Zbl 1163.94407

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.

MSC:

94A12 Signal theory (characterization, reconstruction, filtering, etc.)
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