Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 하지연 | - |
dc.creator | 하지연 | - |
dc.date.accessioned | 2016-08-26T02:08:21Z | - |
dc.date.available | 2016-08-26T02:08:21Z | - |
dc.date.issued | 1999 | - |
dc.identifier.other | OAK-000000001623 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/193040 | - |
dc.identifier.uri | http://dcollection.ewha.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000001623 | - |
dc.description.abstract | Modern communication relies heavily on accurate reproduction and transmission of waves which confront with noise. In this thesis we study two numerical methods to reduce noise from observed wave data : Savitzky-Golay filter and Least Square filter. QR decomposition is used to develop a Savitzky-Golay filter and Lagrangian multiplier method is applied to get Least square filter. Numerical results are given and the differences between Savitzky-Golay filter and Least square filter are compared. ; 현대 communication은 waves의 정확한 reproduction과 transmission에 의존한다. 그러나 waves는 noise에 직면한다. 이 논문에서는 관찰된 wave data로부터 noise를 줄이는 두가지 수치적 방법: Savitzky-Golay filter와 Least Square filter를 제시한다. QR decomposition은 Savitzky-Golay filter를 나타내는데 사용되어지고, Lagrangian multiplier 방법은 Least Square filter를 얻을때에 적용되어진다. 끝으로, 수치적 결과들이 주어지고 Savitzky-Golay filter와 Least square filter 사이의 차이점이 비교되어진다. | - |
dc.description.tableofcontents | Abstract 1. Introduction = 1 2. Preliminaries = 3 2.1 QR Decomposition = 3 2.2 Givens Rotation = 3 2.3 Least Square Fit = 5 2.4 Normal Equations = 6 3. Savitzky-Golay Filter = 8 3.1 Savitzky-Gloay Method = 8 3.2 Polynomial Coefficients = 9 4. Least Square Filter = 12 4.1 Least square Fit = 12 4.2 Lagrange Equation = 13 4.3 Finding Lagrangian Multiplier = 15 4.4 Secular Equation = 16 5. Numerical Experiments = 18 5.1 NumericaIComputations = 18 5.2 Conclusion = 24 | - |
dc.format | application/pdf | - |
dc.format.extent | 730510 bytes | - |
dc.language | eng | - |
dc.publisher | 이화여자대학교 대학원 | - |
dc.title | Numerical comparison of Savitzky-Golay filter and Least Square filter | - |
dc.type | Master's Thesis | - |
dc.identifier.thesisdegree | Master | - |
dc.identifier.major | 대학원 수학과 | - |
dc.date.awarded | 1999. 8 | - |