DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Kim, Hong-Oh | - |
dc.contributor.advisor | 김홍오 | - |
dc.contributor.author | Kim, Seung-Soo | - |
dc.contributor.author | 김승수 | - |
dc.date.accessioned | 2011-12-14T04:55:05Z | - |
dc.date.available | 2011-12-14T04:55:05Z | - |
dc.date.issued | 2004 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=240346&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/42106 | - |
dc.description | 학위논문(석사) - 한국과학기술원 : 응용수학전공, 2004.8, [ iii, 25 p. ] | - |
dc.description.abstract | The orthonormal multiresolution analysis with a single scaling function was introduced in order to construct an orthonormal wavelet basis. The conditions for an orthonormal wavelet to be associated with a multiresolution analysis were known. In contrast to a multiresolution analysis, a frame multiresolution analysis with a single scaling function may or may not have a singly generated wavelet. It was shown that there always exist at most two frame wavelets derived from a frame multiresolution analysis. In this thesis, we introduce the concepts of semi-orthogonal tight frame wavelets, which are generalizations of orthonormal wavelets, and give some examples derived from a frame multiresolution analysis. We find the necessary and sufficient conditions for which two wavelets are semi-orthogonal tight frame wavelets. These conditions include the orthonormal case. Finally, we characterize the semi-orthogonal tight frame wavelets which are associated with a frame multiresolution analysis. | eng |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.subject | MULTIRESOLUTION ANALYSIS | - |
dc.subject | WAVELET | - |
dc.subject | FRAME | - |
dc.subject | 프레임 | - |
dc.subject | 다해상도 해석 | - |
dc.subject | 웨이블릿 | - |
dc.subject | TIGHT | - |
dc.title | Characterizations of tight frame wavelets associated with frame multiresolution analysis | - |
dc.title.alternative | 프레임 다해상도 해석과 연관된 타이트 프레임 웨이블릿의 특성에 관한 연구 | - |
dc.type | Thesis(Master) | - |
dc.identifier.CNRN | 240346/325007 | - |
dc.description.department | 한국과학기술원 : 응용수학전공, | - |
dc.identifier.uid | 020023913 | - |
dc.contributor.localauthor | Kim, Hong-Oh | - |
dc.contributor.localauthor | 김홍오 | - |
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