Two-Dimensional Schur Algorithm

Authors:
Ahmet H. Kayran;Unal Kücük;Sydney R. Parker
Affiliations:
Professor, Department of Electrical Engineering, Istanbul Technical University, Maslak, Istanbul 80626, Turkey;Assistant Professor, Department of Electronics and Comm., Yildiz Technical University, Maslak, Istanbul 80670, Turkey;Consulting Professor, Information Systems Laboratory, Department of Electrical Engineering, Stanford University, Stanford, CA 94305, USA
Venue:
Multidimensional Systems and Signal Processing
Year:
1998

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Abstract

In this paper, a novel 2-D Schur algorithm is developed as a naturalextension of the 1-D Schur recursion. This lattice structure is based onParker and Kayran‘s four-field lattice approach. Starting with given 2-Dautocorrelation samples, four quarter-plane gapped functions are generated.Their linear combination is used to satisfy gap conditions and calculate 2-Dlattice parameter reflection factors for the first stage. In order todetermine the growing number of 2-D reflection coefficients at succesivestages, appropriately defined auxiliary gapped functions are introducedafter the first order. The theory has been confirmed by computersimulations. In addition to developing the basic theory, the presentationincludes a comparison between the proposed 2-D lattice structure and otherexisting four-field lattice structures.