Discrete nonlinear inverse filtering

dc.contributor.advisorFigueiredo, Rui J. P. deen_US
dc.creatorRajala, Sarah A.en_US
dc.date.accessioned2018-12-18T21:21:06Zen_US
dc.date.available2018-12-18T21:21:06Zen_US
dc.date.issued1977en_US
dc.description.abstractA new mathematical derivation is developed for the solution of the problem of nonlinear inverse filtering. It is derived for systems with finite deterministic signals, i. e., the output y of the system is a finite set of data samples. It is assumed that the system generating this output can be represented by a discrete Volterra series, the kernels of this series being known. With knowledge of both the output and these nonlinear kernels# the model is derived for the nonlinear inverse filter. The output of this filter x<n) is the best approximation to the original input x(n) in a least squares sense. In order to guarantee that the series will converge, it was assumed that the nonlinearities are not too violent. Under this assumption, the proposed formulation works well. It has been tested with quadratic and/or cubic nonlinearities in the system. In these tests, the inputs used were a sampled unit step and a sampled sinusoid.en_US
dc.format.digitalOriginreformatted digitalen_US
dc.format.extent87 ppen_US
dc.identifier.callnoTHESIS E.E. 1977 RAJALAen_US
dc.identifier.citationRajala, Sarah A.. "Discrete nonlinear inverse filtering." (1977) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/104332">https://hdl.handle.net/1911/104332</a>.en_US
dc.identifier.digitalRICE1964en_US
dc.identifier.urihttps://hdl.handle.net/1911/104332en_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.titleDiscrete nonlinear inverse filteringen_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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