General A-P iterative algorithm in shift-invariant spaces |
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| Authors: | Jun Xian Song Li |
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| Institution: | (1) Department of Mathematics, Sun Yat-sen (Zhongshan) University, Guangzhou, 510275, P. R. China;(2) Department of Mathematics, Zhejiang University, Hangzhou, 310027, P. R. China |
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| Abstract: | A general A-P iterative algorithm in a shift-invariant space is presented. We use the algorithm to show reconstruction of
signals from weighted samples and also show that the general improved algorithm has better convergence rate than the existing
one. An explicit estimate for a guaranteed rate of convergence is given.
This work is supported in part by the National Natural Science Foundation of China (10771190, 10801136), the Mathematical
Tianyuan Foundation of China NSF (10526036), China Postdoctoral Science Foundation (20060391063), Natural Science Foundation
of Guangdong Province (07300434) |
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| Keywords: | irregular sampling iterative algorithm lattice-invariant space shift-invariant space spline subspace |
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