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- W2128837919 abstract "Two-dimensional orthogonal lattice filters are developed as a natural extension of the 1-D lattice parameter theory. The method offers a complete solution for the Levinson-type algorithm to compute the prediction error filter coefficients using lattice parameters from the given 2-D augmented normal equations. The proposed theory can be used for the quarter-plane and asymmetric half-plane models. Depending on the indexing scheme in the prediction region, it is shown that the final order backward prediction error may correspond to different quarter-plane models. In addition to developing the basic theory, the article includes several properties of this lattice model. Conditions for lattice model stability and an efficient method for factoring the 2-D correlation matrix are given. It is shown that the unended forward and backward prediction errors form orthogonal bases. A simple procedure for reduced complexity 2-D orthogonal lattice filters is presented. The proposed 2-D lattice method is compared with other alternative structures both in terms of conceptual background and complexity. Examples are considered for the given covariance case." @default.
- W2128837919 created "2016-06-24" @default.
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- W2128837919 date "1996-04-01" @default.
- W2128837919 modified "2023-09-26" @default.
- W2128837919 title "Two-dimensional orthogonal lattice structures for autoregressive modeling of random fields" @default.
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- W2128837919 doi "https://doi.org/10.1109/78.492548" @default.
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