DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Kim, Hong-Oh | - |
dc.contributor.advisor | 김홍오 | - |
dc.contributor.author | Song, Min-Ho | - |
dc.contributor.author | 송민호 | - |
dc.date.accessioned | 2011-12-14T04:55:39Z | - |
dc.date.available | 2011-12-14T04:55:39Z | - |
dc.date.issued | 2006 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=255257&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/42143 | - |
dc.description | 학위논문(석사) - 한국과학기술원 : 응용수학전공, 2006.2, [ v, 24 p. ] | - |
dc.description.abstract | In the field of signal processing, the concept of the dual basis is important in decomposing an analog signal into discrete representation. In the recent, study of the compactly supported oblique dual generators associated to the Riesz sequences of integer-shifts is done by Christensen et al. In this thesis, we study the polynomial oblique dual generators of the Riesz sequences of integer translates which has the minimal degree. We present an algorithm to find a minimal degree polynomial oblique dual generator of the general Riesz sequences of the integer shifts. In addition, we show that the minimal degree of a polynomial oblique dual generator associated to B-spline of order N is N-1. Furthermore, we present two conjectures about the properties of the compactly supported polynomial oblique dual generators such that we have found during this research. | eng |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.subject | Polynomial oblique dual generators of the Riesz sequences | - |
dc.subject | 다항식 듀얼 생성자 | - |
dc.title | (The) minimal degree polynomial oblique dual generators of the Riesz sequences of B-spline shifts | - |
dc.title.alternative | B-스플라인 정수이동 Riesz 수열의 최소차 다항식 듀얼 생성자에 관한 연구 | - |
dc.type | Thesis(Master) | - |
dc.identifier.CNRN | 255257/325007 | - |
dc.description.department | 한국과학기술원 : 응용수학전공, | - |
dc.identifier.uid | 020043283 | - |
dc.contributor.localauthor | Kim, Hong-Oh | - |
dc.contributor.localauthor | 김홍오 | - |
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