Sampling theory on Bernstein spaces = Bernstein 공간에서의 sampling 이론

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Sampling theory is studied by many people because of its mathematical interest and because of its importance for applications in the engineering. The main concerns of sampling theory are the followings: the space of functions which can be expressed as a series, sampling points, convergence, error estimation. Sampling theory is based on Shannon-Whittaker-Kotel`nikov sampling theorem. In this thesis, the main topic is to survey the important results of the sampling theory in Bernstein space. Bernstein space is closely related with Paley-Wiener space and a function of Paley-Wiener space is represented by some Fourier transform of functions with compact support. Kramer`s lemma gives some generalization for sampling formula for functions represented by some integral transform. And we give a convergence principle by the properties of Paley-Wiener space. And we survey the important results for irregular sampling with nonuniform sample. These results are developed by the theory of Riesz basis and we get a sampling formula that is similar to Lagrange interpolation formula. Finally, we will give a brief introduction for 1-channel and 2-channel sampling with some transformed data.
Advisors
Kwon, Kil-Hyunresearcher권길헌researcher
Description
한국과학기술원 : 응용수학전공,
Publisher
한국과학기술원
Issue Date
2003
Identifier
180036/325007 / 020003820
Language
eng
Description

학위논문(석사) - 한국과학기술원 : 응용수학전공, 2003.2, [ iii, 25 p. ; ]

Keywords

Sampling; 샘플링

URI
http://hdl.handle.net/10203/42071
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=180036&flag=dissertation
Appears in Collection
MA-Theses_Master(석사논문)
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