| THE WAVELENGTH COMPONENT VECTORGRAM: A TOOL FOR RESOLVING TWO-COMPONENT FLUORESCENT MIXTURES |
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| 引用本文： | DONALDS.BURDICK,XINM.TU. THE WAVELENGTH COMPONENT VECTORGRAM: A TOOL FOR RESOLVING TWO-COMPONENT FLUORESCENT MIXTURES[J]. 地理学报(英文版), 1989, 0(1) |
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| 作者姓名： | DONALDS.BURDICK XINM.TU |
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| 作者单位： | Institute of Statistics and Decision Sciences Department of Mathematics Duke University Durham NC 27706 U. S. A.，Department of Mathematics Duke University Durham N.C. 27706 U.S.A. |
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| 摘 要： | We consider the problem of resolving the total luminescence spectra of two-component mixtures.Non-negativity of the constituent spectra is commonly used as a criterion to accomplish this resolution,but its application seldom leads to unique answers. Sometimes, the condition must be relaxed because nosolution satisfying non-negativity exists. In these cases judgments must be made concerning which partsof the spectra will be allowed to go negative and by how much. The wavelength component vectorgramn (WCV) is presented here as a tool for assisting theexperimenter in making these judgments. Even when non-negative resolutions exist, it may happen thatresolutions with slight negative elements will more closely match the spectra of the pure constituents.The WCV can also be used as a tool for detecting these cases. The methodology is illustrated with realdata from a two-component mixture.
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THE WAVELENGTH COMPONENT VECTORGRAM: A TOOL FOR RESOLVING TWO-COMPONENT FLUORESCENT MIXTURES |
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| DONALD S. BURDICK. THE WAVELENGTH COMPONENT VECTORGRAM: A TOOL FOR RESOLVING TWO-COMPONENT FLUORESCENT MIXTURES[J]. Journal of Geographical Sciences, 1989, 0(1) |
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| Authors: | DONALD S. BURDICK |
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| Affiliation: | DONALD S. BURDICK,Institute of Statistics and Decision Sciences,Department of Mathematics,Duke University,Durham,NC,U.S.A.XIN M.TU,Department of Mathematics,Duke University,Durham,N.C.,U.S.A. |
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| Abstract: | We consider the problem of resolving the total luminescence spectra of two-component mixtures. Non-negativity of the constituent spectra is commonly used as a criterion to accomplish this resolution, but its application seldom leads to unique answers. Sometimes, the condition must be relaxed because no solution satisfying non-negativity exists. In these cases judgments must be made concerning which parts of the spectra will be allowed to go negative and by how much. The wavelength component vectorgramn (WCV) is presented here as a tool for assisting the experimenter in making these judgments. Even when non-negative resolutions exist, it may happen that resolutions with slight negative elements will more closely match the spectra of the pure constituents. The WCV can also be used as a tool for detecting these cases. The methodology is illustrated with real data from a two-component mixture. |
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| Keywords: | Resolution of mixtures Excitation-emission matrices Eigenanalysis Wavelength component vectorgram Total luminescence spectroscopy |
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