TY - JOUR
T1 - Decomposition of 2-D Separable-Denominator Systems
T2 - Existence, Uniqueness, and Applications
AU - Lin, Tao
AU - Kawamata, Masayuki
AU - Higuchi, Tatsuo
PY - 1987/3
Y1 - 1987/3
N2 - This paper proves that any single-input/single-output (SISO) 2-D system with a separable denominator can be decomposed into a pair of 1-D systems having dynamics in different directions and that the minimal decomposition pair is unique modulo an invertible constant transformation. One of the 1-D systems is a single-input/multi-output system and the other is a multi-input/single-output system. On the basis of the reduced-dimensional decomposition, which directly connects a 2-D separable-denominator system to two 1-D systems, the paper studies the state-space realizations of 2-D separable-denominator systems from 2-D input-output maps. It is shown that the state-space realization problems of 2-D separable-denominator systems can be reduced into corresponding 1-D realization problems. Therefore, any 1-D state-space realization technique can be directly applied to the 2-D case.
AB - This paper proves that any single-input/single-output (SISO) 2-D system with a separable denominator can be decomposed into a pair of 1-D systems having dynamics in different directions and that the minimal decomposition pair is unique modulo an invertible constant transformation. One of the 1-D systems is a single-input/multi-output system and the other is a multi-input/single-output system. On the basis of the reduced-dimensional decomposition, which directly connects a 2-D separable-denominator system to two 1-D systems, the paper studies the state-space realizations of 2-D separable-denominator systems from 2-D input-output maps. It is shown that the state-space realization problems of 2-D separable-denominator systems can be reduced into corresponding 1-D realization problems. Therefore, any 1-D state-space realization technique can be directly applied to the 2-D case.
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U2 - 10.1109/TCS.1987.1086132
DO - 10.1109/TCS.1987.1086132
M3 - Article
AN - SCOPUS:0023314256
VL - 34
SP - 292
EP - 296
JO - IEEE Transactions on Circuits and Systems
JF - IEEE Transactions on Circuits and Systems
SN - 0098-4094
IS - 3
ER -