Linear dynamic filtering with noisy input and output
Markovsky, I. and De Moor, B., Soderstrom, T. (eds.) (2005) Linear dynamic filtering with noisy input and output. Automatica, 41, (1), 167-171.
- Accepted Manuscript
PDF (Answer to the reviewers)
- Supplemental Material
Estimation problems for linear time-invariant systems with noisy input and output are considered. The smoothing problem is a least norm problem. An efficient algorithm using a Riccati-type recursion is derived. The equivalence between the optimal filter and an appropriately modified Kalman filter is established. The optimal estimate of the input signal is derived from the optimal state estimate. The result shows that the noisy input/output filtering problem is not fundamentally different from the classical Kalman filtering problem.
|Keywords:||errors-in-variables model, Kalman filtering, optimal smoothing.|
|Divisions:||Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Southampton Wireless Group
|Date Deposited:||06 Jan 2007|
|Last Modified:||31 Mar 2016 14:07|
|Further Information:||Google Scholar|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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