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Discrete-Time Filtering for Linear Syskms in Correlated Noise with Non-Gaussian Initial Conditions: Asymptotic Behavior of the Difference between the MMSE and LMSE Estimates.

dc.contributor.authorSowers, R.B.en_US
dc.contributor.authorMakowski, Armand M.en_US
dc.date.accessioned2007-05-23T09:43:36Z
dc.date.available2007-05-23T09:43:36Z
dc.date.issued1989en_US
dc.identifier.urihttp://hdl.handle.net/1903/4886
dc.description.abstractWe consider the one-step prediction problem for discrete-time linear systems in correlated plant and observation noises, and non-gaussian initial conditions. We investigate the asymptotic behavior of the expected square {GREEK LETTER SUB t} of the difference between the MMSE and LMSE (or Kalman) estimates of the state given past observations. We characterize the limit of the error sequence ( {GREEK LETTER SUB t}, t = 0,1, ...} and obtain some related rates of convergence, with complete analysis being provided for the scalar case. The discussion is based on the explicit representations which were obtained by the authors in [,] for the MMSE and LMSE estimates, and which explicitly display the dependence of these quantities on the initial distribution.en_US
dc.format.extent573712 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen_US
dc.relation.ispartofseriesISR; TR 1989-38en_US
dc.titleDiscrete-Time Filtering for Linear Syskms in Correlated Noise with Non-Gaussian Initial Conditions: Asymptotic Behavior of the Difference between the MMSE and LMSE Estimates.en_US
dc.typeTechnical Reporten_US
dc.contributor.departmentISRen_US


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