Invariance and Periodic Oversampling in Principal Shift-Invariant Spaces
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概要
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We first find simple characterizations of $\frac{1}{N} \mathbb{Z}$-invariance of arbitrary principal shift-invariant space $V(\phi)$. Then we find several equivalent conditions for $V(\phi)$ to admit periodic oversampling for a class of continuous frame generators $\phi$. In particular, when $\phi$ is band-limited and $\hat{\phi}$ is piecewise continuous, we find very simple and general sufficient conditions for $V(\phi)$ to admit periodic oversampling, which involve the extra invariance of $V(\phi)$, together with an illustrating example.
- The Institute of Electronics, Information and Communication Engineersの論文
著者
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Lee Dae
Department Of Internal Medicine Asan Medical Center University Of Ulsan College Of Medicine
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Kwon Kil
Department Of Mathematical Sciences Kaist
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- Invariance and Periodic Oversampling in Principal Shift-Invariant Spaces