dc.contributor.author | Choi, B. S. | en |
dc.contributor.author | Politis, Dimitris Nicolas | en |
dc.creator | Choi, B. S. | en |
dc.creator | Politis, Dimitris Nicolas | en |
dc.date.accessioned | 2019-12-02T10:34:23Z | |
dc.date.available | 2019-12-02T10:34:23Z | |
dc.date.issued | 2007 | |
dc.identifier.issn | 1053-587X | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56622 | |
dc.description.abstract | We show that there exists a causal 2-D linear process in the nonsymmetric half-plane having the same autocorrelations as a noncausal 2-D linear process in the whole-plane | en |
dc.description.abstract | this property is called the autocorrelation equivalence relation, and can be used for practical fitting and modeling of 2-D processes. Some causal 2-D autoregressive (AR) models with various regions of support are considered such as half-cross, half-diamond, quarter-plane square, half-square, half-hexagon, half-octagon, and half-circle. Considerations of parsimony in 2-D model fitting are then focused not only on the number of parameters in our model, but also most importantly on the optimal shape of the region of support. Their 2-D Yule-Walker equations are derived, and a computationally efficient order-recursive algorithm is proposed to solve them. The autocorrelation equivalence relation and the order-recursive algorithm are utilized to specify a noncausal 2-D AR process as well as its spectrum from a given realization of a random field. © 2007 IEEE. | en |
dc.source | IEEE Transactions on Signal Processing | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-34247898867&doi=10.1109%2fTSP.2006.890886&partnerID=40&md5=e6a36be1a5b03a38571dfaef3f58f3a4 | |
dc.subject | Regression analysis | en |
dc.subject | Autocorrelation | en |
dc.subject | Algorithms | en |
dc.subject | Signal processing | en |
dc.subject | Recursive functions | en |
dc.subject | 2-D autoregressive (AR) model | en |
dc.subject | 2-D spectrum | en |
dc.subject | Autocorrelation equivalence relation | en |
dc.subject | Causal | en |
dc.subject | Noncausal | en |
dc.subject | Random field | en |
dc.subject | Yule-Walker equations | en |
dc.title | Modeling 2-D AR processes with various regions of support | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1109/TSP.2006.890886 | |
dc.description.volume | 55 | |
dc.description.issue | 5 I | en |
dc.description.startingpage | 1696 | |
dc.description.endingpage | 1707 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.description.notes | <p>Cited By :3</p> | en |
dc.source.abbreviation | IEEE Trans Signal Process | en |