An algorithm for stability determination of two-dimensional delta-operator formulated discrete-time systems |
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Authors: | Kamal Premaratne A S Boujarwah |
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Affiliation: | (1) Department of Electrical and Computer Engineering, University of Miami, P.O. Box 248294, 33124 Coral Gables, FL, U.S.A.;(2) Electrical and Computer Engineering Department, College of Engineering and Petroleum, Kuwait University, P.O. Box 5969, 13060 Safat, Kuwait |
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Abstract: | The recent interest in delta-operator (or, -operator) formulated discrete-time systems (or, -systems) is due mainly to (a) their superior finite wordlength characteristics as compared to their more conventional shift-operator (or,q-operator) counterparts (or,q-systems), and (b) the possibility of a more unified treatment of both continuous- and discrete-time systems. With such advantages, design, analysis, and implementation of two-dimensional (2-D) discrete-time systems using the -operator is indeed warranted. Towards this end, the work in this paper addresses the development of an easily implementabledirect algorithm for stability checking of 2-D -system transfer function models.Indirect methods that utilize transformation techniques are not pursued since they can be numerically unreliable. In developing such an algorithm, a tabular form for stability checking of -system characteristic polynomials with complex-valued coefficients and certain quantities that may be regarded as their corresponding Schur-Cohn minors are also proposed. |
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Keywords: | Two-dimensional discrete-time systems two-dimensional digital filters -operator formulated discrete-time systems" target="_blank">gif" alt="delta" align="BASELINE" BORDER="0">-operator formulated discrete-time systems bivariate polynomials Schur-Cohn minors stability |
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