caa a22 4500 477094155 CHVBK 20180405111522.0 cr unu---uuuuu 170330e19960401xx s 000 0 eng 10.1007/BF01827814 doi (NATIONALLICENCE)springer-10.1007/BF01827814 On the stability preserving property of the double bilinear transformation on a class of 2-D transfer functions [Elektronische Daten] [Sandra Yost, Peter Bauer, Kasyapa Balemarthy] This paper addresses the BIBO (bounded-input bounded-output) stability of a class of discrete 2-D quarter-plane filters in the presence of nonessential singularities of the second kind (NSSK's) on the unit bidisk. Conditions under which the double bilinear transformation (DBT) preserves stability are derived. The results presented here also extend the class of systems whose stability can be predicted. Use of the inverse DBT to produce a continuous equivalent of the discrete 2-D transfer function allows easy application of a continuous-domain equivalent of a criterion developed by Dautov. The necessary and sufficient condition for stability derived in this work provides a simple check for the class of systems under consideration. From this class of systems, it is also possible to construct stable pairs of mutually inverse transfer functions. Kluwer Academic Publishers, 1996 BIBO stability nationallicence discrete two-dimensional systems nationallicence NSSK's nationallicence double bilinear transformation nationallicence Yost Sandra Laboratory for Image and Signal Processing, Department of Electrical Engineering, University of Notre Dame, 46556-5637, Notre Dame, IN aut Bauer Peter Laboratory for Image and Signal Processing, Department of Electrical Engineering, University of Notre Dame, 46556-5637, Notre Dame, IN aut Balemarthy Kasyapa School of Electrical and Computer Engineering, Georgia Institute of Technology, 30332-0250, Atlanta, GA aut Multidimensional Systems and Signal Processing Kluwer Academic Publishers 7/2(1996-04-01), 211-220 0923-6082 7:2<211 1996 7 11045 https://doi.org/10.1007/BF01827814 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01827814 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Yost Sandra Laboratory for Image and Signal Processing, Department of Electrical Engineering, University of Notre Dame, 46556-5637, Notre Dame, IN aut NATIONALLICENCE 700 1- Bauer Peter Laboratory for Image and Signal Processing, Department of Electrical Engineering, University of Notre Dame, 46556-5637, Notre Dame, IN aut NATIONALLICENCE 700 1- Balemarthy Kasyapa School of Electrical and Computer Engineering, Georgia Institute of Technology, 30332-0250, Atlanta, GA aut NATIONALLICENCE 773 0- Multidimensional Systems and Signal Processing Kluwer Academic Publishers 7/2(1996-04-01), 211-220 0923-6082 7:2<211 1996 7 11045 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer