Two-dimensional Schur algorithm

In this paper, a novel 2-D Schur algorithm is developed as a natural extension of the 1-D Schur recursion. This lattice structure is based on Parker and Kayran's four-field lattice approach. Starting with given 2-D autocorrelation samples, four quarter-plane gapped functions are generated. Thei...

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Bibliographic Details
Published in:Multidimensional systems and signal processing 1998-01, Vol.9 (1), p.7-37
Main Authors: Kayran, Ahmet H, Kucuk, Unal, Parker, Sydney R
Format: Article
Language:English
Online Access:Get full text
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Summary:In this paper, a novel 2-D Schur algorithm is developed as a natural extension of the 1-D Schur recursion. This lattice structure is based on Parker and Kayran's four-field lattice approach. Starting with given 2-D autocorrelation samples, four quarter-plane gapped functions are generated. Their linear combination is used to satisfy gap conditions and calculate 2-D lattice parameter reflection factors for the first stage. In order to determine the growing number of 2-D reflection coefficients at successive stages, appropriately defined auxiliary gapped functions are introduced after the first order. The theory has been confirmed by computer simulations. In addition to developing the basic theory, the presentation includes a comparison between the proposed 2-D lattice structure and other existing four-field lattice structures.
ISSN:0923-6082
DOI:10.1023/A:1008247520626