The analysis of multicomponent exponential decay curves

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dc.contributor.advisorClark, John W.en_US
dc.creatorThomasson, William Michaelen_US
dc.date.accessioned2018-12-18T21:19:17Zen_US
dc.date.available2018-12-18T21:19:17Zen_US
dc.date.issued1974en_US
dc.descriptionText includes handwritten formulasen_US
dc.description.abstractThere are four basic classes of methods of analyzing exponential decay curves: graphical methods, iterative fitting methods, algebraic fitting methods, and transform methods. Representative types of all these methods are examined in detail as to their approach to computing exponents and their theoretical strengths and weaknesses. A comparison is made of the methods on simulated data and a survey of the reported accuracy of the methods in the literature is used to illustrate these strengths and weaknesses. Consequently, a three-method sequential identification scheme utilizing the graphical curve-peeling method, the DFT (Discrete Fourier Transform) deconvolution method [a new method developed for this study], and the iterative weighted nonlinear leastsquares method is developed for application to real physical data. A series of four examples of the application of the sequential identification scheme is made for physiological data containing from two to four exponents. The intrinsic difficulties of exponential analysis are illustrated, and the utility of the sequential identification scheme is shown.en_US
dc.format.digitalOriginreformatted digitalen_US
dc.format.extent158 ppen_US
dc.identifier.callnoTHESIS E.E. 1974 THOMASSONen_US
dc.identifier.citationThomasson, William Michael. "The analysis of multicomponent exponential decay curves." (1974) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/104232">https://hdl.handle.net/1911/104232</a>.en_US
dc.identifier.digitalRICE1861en_US
dc.identifier.urihttps://hdl.handle.net/1911/104232en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.titleThe analysis of multicomponent exponential decay curvesen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentElectrical Engineeringen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Scienceen_US
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