Decomposition of 2-D separable-denominator systems: Existence, uniqueness, and applications

DOI10.1109/TCS.1987.1086132zbMath0619.93017MaRDI QIDQ3757749

Tatsuo Higuchi, Masayuki Kawamata, Tao Lin

Publication date: 1987

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

zbMATH Keywords

separable denominatorstate-space realizationminimal decompositionsingle-input/single-output (SISO) 2-D system

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Minimal systems representations (93B20) Realizations from input-output data (93B15) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (11)

A lattice realization for 2-D separable-denominator digital filters ⋮ Separable-denominator two-dimensional adaptive filters with application to noise reduction in images ⋮ Minimal Realizations of Syndrome Formers of a Special Class of 2D Codes ⋮ Transformation of two-dimensional model into two-dimensional decoupled model and decomposition into one-dimensional models ⋮ Image modeling based on a 2-D stochastic subspace system identification algorithm ⋮ Realization of 2D convolutional codes of rate \(\frac{1}{n}\) by separable Roesser models ⋮ Transformation of 2D Roesser into causal recursive separable denominator model and decomposition into 1D systems ⋮ Subspace algorithms for identifying separable-in-denominator 2D systems with deterministic–stochastic inputs ⋮ Design of separable-denominator 2-d digital filters using the reduced- dimensional decomposition model ⋮ Constructing autonomous boundary-value linear systems from acausal input- output functions ⋮ State space realization of a three-dimensional image set with application to noise reduction of fluorescent microscopy images of cells

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