BIBO stability in the presence of nonessential singularities of the second kind in 2-D digital filters

DOI10.1109/TCS.1987.1086037zbMath0623.93063MaRDI QIDQ3762195

George Eichman, M. N. S. Swamy, L. M. Roytman

Publication date: 1987

Published in: IEEE Transactions on Circuits and Systems (Search for Journal in Brave)

zbMATH Keywords

bounded-input bounded-output (BIBO) stabilitynonessential singularities2-D shift invariant filters

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Multivariable systems, multidimensional control systems (93C35) Input-output approaches in control theory (93D25) Linear systems in control theory (93C05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

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On the stability preserving property of the double bilinear transformation on a class of 2-D transfer functions, General results concerning the stability of 2-D digital filters with nonessential singularities of the second kind, Nonessential singularities of the second kind and stability for multidimensional digital filters, Robustness and stability properties of first order multi-dimensional (m- D) discrete processes, Stability analysis of 2-D digital filters having second kind singularities: Analog approach