Average sampling and reconstruction in a reproducing kernel subspace of homogeneous type space |
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Authors: | Jun Xian |
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Institution: | Department of Mathematics and Southern China Research Center of Statistical Science, Sun Yat‐sen University, Guangzhou, P. R. China |
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Abstract: | In this paper, we first introduce a reproducing kernel subspace of , where is a homogeneous type space. Then we consider average sampling and reconstruction of signals in the reproducing kernel subspace of . We show that signals in the reproducing kernel subspace of could be stably reconstructed from its average samples taken on a relatively‐separated set with small gap. Exponential convergence is established for the iterative approximation‐projection reconstruction algorithm. |
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Keywords: | Irregular sampling reproducing kernel subspace homogeneous type space 42C15 35K65 94A20 46E30 47B32 94A12 |
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