Identification of Symmetric Noncausal Processes: Cross-Directional Response Modelling of Paper Machines

TitleIdentification of Symmetric Noncausal Processes: Cross-Directional Response Modelling of Paper Machines
Publication TypeConference Paper
Year of Publication2006
AuthorsGopaluni, R. B., P. D. Loewen, M. Ammar, G. A. Dumont, and M. S. Davies
Conference NameDecision and Control, 2006 45th IEEE Conference on
Pagination6744 -6749
Date Publisheddec.
Keywordscausality, cross-directional response modelling, maximum likelihood estimation, paper machines, paper making machines, spectrally equivalent causal model, symmetric noncausal process identification
Abstract

We adapt the maximum likelihood method to treat symmetric noncausal models. Such models govern the cross-directional response of paper machines: they are noncausal in space, not in time. Process symmetry is essential to our methods. We show that every symmetric noncausal process admits a spectrally equivalent causal model, then prove that the maximum likelihood estimate of this causal model converges to that of the original noncausal process. A numerical example illustrates the method

URLhttp://dx.doi.org/10.1109/CDC.2006.376794
DOI10.1109/CDC.2006.376794

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