Rate of Innovation for (Non-)Periodic Signals and Optimal Lower Stability Bound for Filtering |
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| Authors: | Qiyu Sun Jun Xian |
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| Affiliation: | 1. Department of Mathematics, University of Central Florida, Orlando, FL, 32816, USA
2. Department of Mathematics and Guangdong Province Key Laboratory of Computational Science, Sun Yat-sen (Zhongshan) University, Guangzhou, 510275, China
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| Abstract: | One of fundamental problems in sampling theory is to reconstruct (non-)periodic signals from their filtered signals in a stable way. In this paper, we obtain a universal upper bound to the rate of innovation for signals in a closed linear space, which can be stably reconstructed, via the optimal lower stability bound for filtering on that linear space. |
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