Irregular sampling on shift invariant spaces이동불변 공간에서의 불균등 샘플링

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For any $\phi(t)$ in $L^{2}(\Real)$, let $V(\phi)$ be the closed shift invariant subspaces of $L^{2}(\Real)$ spanned by integer translates $\{\phi(t-n):n\in \mathbb{Z} \}$ of $\phi(t)$. Assuming that the shift invariant space $V(\phi)$ is an RKHS and regular expansion is possible, we find conditions that irregular sampling expansion \begin{equation*} f(t) = \sum_{n\in \mathbb{Z}} f(n+\delta_n) S_n(t) \end{equation*} holds.
Advisors
Kwon, Kil-Hyunresearcher권길헌researcher
Description
한국과학기술원 : 수리과학과,
Publisher
한국과학기술원
Issue Date
2008
Identifier
296232/325007  / 020063424
Language
eng
Description

학위논문(석사) - 한국과학기술원 : 수리과학과, 2008.2, [ iii, 23 p. ]

Keywords

irregular sampling; sampling; shift invariant spaces; 불균등 샘플링; 샘플링; 이동불변공간; irregular sampling; sampling; shift invariant spaces; 불균등 샘플링; 샘플링; 이동불변공간

URI
http://hdl.handle.net/10203/42185
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=296232&flag=dissertation
Appears in Collection
MA-Theses_Master(석사논문)
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