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.


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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.

Item Type: Article
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Keywords: errors-in-variables model, Kalman filtering, optimal smoothing.
Divisions : Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Southampton Wireless Group
ePrint ID: 263299
Accepted Date and Publication Date:
Date Deposited: 06 Jan 2007
Last Modified: 31 Mar 2016 14:07
Further Information:Google Scholar

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