A HIGH RESOLUTION DATA-ADAPTIVE TIME-FREQUENCY REPRESENTATION

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dc.contributor.advisorParks, Thomasen_US
dc.creatorJONES, DOUGLAS LLEWELLYNen_US
dc.date.accessioned2007-05-09T19:45:10Zen_US
dc.date.available2007-05-09T19:45:10Zen_US
dc.date.issued1987en_US
dc.description.abstractThe short-time Fourier transform and the Wigner distribution are the time-frequency representations that have received the most attention. The Wigner distribution has a number of desirable properties, but it introduces nonlinearities called cross-terms that make it difficult to interpret when applied to real multi-component signals. The short-time Fourier transform has achieved widespread use in applications, but it often has poor resolution of signal components and can bias the estimate of signal parameters. A need exists for a time-frequency representation without the shortcomings of the current techniques. This dissertation develops a data-adaptive time-frequency representation that overcomes the often poor resolution of the traditional short-time Fourier transform, while avoiding the nonlinearities that make the Wigner distribution and other bilinear representations difficult to interpret and use. The new method uses an adaptive Gaussian basis, with the basis parameters varying at different time-frequency locations to maximize the local signal concentration in time-frequency. Two methods for selecting the Gaussian parameters are presented: a method that maximizes a measure of local signal concentration, and a parameter estimation approach. The new representation provides much better performance than any of the currently known techniques in the analysis of multi-modal dispersive waveforms.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS E.E. 1987 JONESen_US
dc.identifier.citationJONES, DOUGLAS LLEWELLYN. "A HIGH RESOLUTION DATA-ADAPTIVE TIME-FREQUENCY REPRESENTATION." (1987) Diss., Rice University. <a href="https://hdl.handle.net/1911/16073">https://hdl.handle.net/1911/16073</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/16073en_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.subjectElectronicsen_US
dc.subjectElectrical engineeringen_US
dc.titleA HIGH RESOLUTION DATA-ADAPTIVE TIME-FREQUENCY REPRESENTATIONen_US
dc.typeThesisen_US
dc.type.dcmiTexten_US
thesis.degree.departmentElectrical Engineeringen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
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