Reference Deconvolution in the Frequency Domain |
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| Institution: | 1. School of Environmental Science and Engineering, Suzhou University of Science and Technology, Suzhou 215009, China;2. School of Materials Science & Engineering, University of Science & Technology Beijing, Beijing 100083, China;3. Key Laboratory of Watershed Science and Health of Zhejiang Province, College of Public Health and Management, Wenzhou Medical University, Wenzhou 325035, China;1. Department of Urology, The First Affiliated Hospital, Medical College of Zhejiang University, Hangzhou, China;2. Department of Urology, Shanghai Changhai Hospital, Second Military Medical University, Shanghai, China;3. Department of Pharmacology, Key Laboratory of Medical Neurobiology of the Ministry of Health of China, School of Basic Medical Sciences, School of Medicine, Zhejiang University, Hangzhou, China |
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| Abstract: | Reference deconvolution, i.e., using the lineshape distortions of a reference signal with known ideal shape to deduce a correction function for the whole spectrum, is normally performed in the time domain. As a disadvantage, reference signals of higher multiplicity cannot be employed because of mathematical instabilities. In this work we show that these difficulties can be circumvented by carrying out reference deconvolution in the frequency domain. The computational demands of this approach are higher, but not prohibitive, because the width of the correction function is only a fraction of that of the whole spectrum. An iterative algorithm was implemented that yields the optimum widths of the correction function and of the ideal reference signal. Singular value decomposition was found to produce better results thanLUdecomposition of the design matrix. The feasibility of the deconvolution method and of the algorithm are demonstrated using both synthetic and experimental data. |
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