Zero-Crossing Rates of Some Non-Gaussian Processes with Application to Detection and Estimation

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dc.contributor.advisorKedem, B.en_US
dc.contributor.authorBarnett, John T.en_US
dc.contributor.departmentISRen_US
dc.date.accessioned2007-05-23T10:02:57Z
dc.date.available2007-05-23T10:02:57Z
dc.date.issued1996en_US
dc.description.abstractIn this dissertation we present extensions of Rice's formula for the expected zero-crossing rate of a Gaussian process to some useful non-Gaussian cases. In particular, we extend Rice's formula to the class of stationary processes which are a monotone transformation of a Gaussian process, to countable mixtures of Gaussians, and to products of independent Gaussian processes. In all the above mentioned cases the expected zero-crossing rates are given for both continuous time and discrete time processes. We also investigate the application of parametric filtering, using zero-crossing count statistics, to the problem of frequency estimation in a mixed spectrum model and the application of mean- level-crossing counts of the envelope of a Gaussian process to a radar detection problem. For the radar problem we prove asymptotic normality of the level-crossings of the envelope of a Gaussian process and provide and expression for the asymptotic variance.en_US
dc.format.extent3403198 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1903/5816
dc.language.isoen_USen_US
dc.relation.ispartofseriesISR; PhD 1996-10en_US
dc.subjectdetectionen_US
dc.subjectdigital communicationsen_US
dc.subjectestimationen_US
dc.subjectfilteringen_US
dc.subjectsignal processingen_US
dc.subjectIntelligent Signal Processing en_US
dc.subjectCommunications Systemsen_US
dc.titleZero-Crossing Rates of Some Non-Gaussian Processes with Application to Detection and Estimationen_US
dc.typeDissertationen_US

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