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|Title:||Two dimensional recursive optimal smoothing of Gaussian random fields|
|Citation:||Proceedings of the 9th IEEE International Conference on Control and Automation (ICCA), held in Santiago, Chile, 19-21 December, 2011: pp.1102-1107|
|Conference Name:||IEEE International Conference on Control and Automation (9th : 2011 : Santiago, Chile)|
|Francesco Carravetta and Langford B. White|
|Abstract:||The smoothing problem is considered for a two dimensional (2D) Gaussian Markov field defined on a finite rectangular lattice under Gaussian additive noise. The Gaussian Markov field is assumed to be generated by a (known) local correlation linking each site with the eight sites surrounding it in the lattice. In a former paper it has been shown that for such field (and with a further assumption of homogeneity that we here relax) a 2D realisation can be built up. Such realisation result represents the basis for the present paper, where a 2D-recursive optimal-smoothing algorithm is derived. Even though based on the realisation result, the present paper is nevertheless self-contained.|
|Rights:||© Copyright 2012 IEEE|
|Appears in Collections:||Electrical and Electronic Engineering publications|
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