A procedure for calculating the best exponents for signal representation

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dc.contributor.advisorParks, Thomasen_US
dc.creatorJan, Yih-Guang Johnen_US
dc.date.accessioned2016-04-21T12:02:19Zen_US
dc.date.available2016-04-21T12:02:19Zen_US
dc.date.issued1970en_US
dc.description.abstractThe approximation of a given signal over (0,^ ) by a linear combination of a given number n of exponentials in such a sense that the integrated squared error is minimized over both the coefficients of the linear combination and the exponents used is discussed. The necessary conditions for the minimizations lead to nonlinear equations. Analog and digital computer implementations have been developed that are capable of adjusting the exponents of the basis functions and the coefficients of the linear combinations to minimize the integrated squared error between a signal and its representation. The influence of each parameter of the orthonormal filters on the performance criterion is determined using an iterative convergent process. These parameter changes are introduced into the analog and digital systems to form a closed loop system.en_US
dc.format.digitalOriginreformatted digitalen_US
dc.format.extent43 ppen_US
dc.identifier.callnoThesis E.E. 1970 JANen_US
dc.identifier.citationJan, Yih-Guang John. "A procedure for calculating the best exponents for signal representation." (1970) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/89378">https://hdl.handle.net/1911/89378</a>.en_US
dc.identifier.digitalRICE0416en_US
dc.identifier.urihttps://hdl.handle.net/1911/89378en_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.titleA procedure for calculating the best exponents for signal representationen_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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