Variance or spectral density in sampled data filtering?

Title: Variance or spectral density in sampled data filtering?
Creator: Goodwin, Graham C.; Yuz, Juan I.; Salgado, Mario E.; Agüero, Juan C.
Relation: Journal of Global Optimization Vol. 52, Issue 2, p. 335-351
Publisher Link: http://dx.doi.org/10.1007/s10898-011-9675-4
Publisher: Springer
Resource Type: journal article
Date: 2012
Description: Most physical systems operate in continuous time. However, to interact with such systems one needs to take samples. This raises the question of the relationship between the sampled response and the response of the underlying continuous-time system. In this paper we review several aspects of the sampling process. In particular, we examine the role played by variance and spectral density in describing discrete random processes. We argue that spectral density has several advantages over variance.We illustrate the ideas by reference to the problem of state estimation using the discrete-time Kalman filter.
Subject: estimation; sampled data; Kalman filter
Identifier: http://hdl.handle.net/1959.13/1326317
Identifier: uon:25398
Identifier: ISSN:0925-5001
Language: eng
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