Weighted sampling and reconstruction in weighted reproducing kernel spaces |
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Authors: | Jun Xian |
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Affiliation: | Department of Mathematics, Sun Yat-sen (Zhongshan) University, Guangzhou, 510275, China |
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Abstract: | In this paper, we discuss sampling and reconstruction of signals in the weighted reproducing kernel space associated with an idempotent integral operator. We show that any signal in that space can be stably reconstructed from its weighted samples taken on a relatively-separated set with sufficiently small gap. We also develop an iterative reconstruction algorithm for the reconstruction of a signal from its weighted samples taken on a relatively-separated set with sufficiently small gap. |
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Keywords: | Sampling Reconstruction algorithm Reproducing kernel space Idempotent operator Weight |
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