TY - JOUR
T1 - Design of 2-D Separable-Denominator Digital Filters Based on the Reduced-Dimensional Decomposition
AU - Lin, Tao
AU - Kawamata, Masayuki
AU - Higuchi, Tatsuo
PY - 1987/8
Y1 - 1987/8
N2 - The paper proposes a technique for the design of 2-D sep- arable-denominator digital filters. The technique is based on decomposing both 2-D separable-denominator state-space models and the given 2-D impulse response specifications into 1-D ones. It is proved that the given 2-D) specifications can be optimally decomposed into 1-D specifications via ‘singular value decompositions. Then, 1-D digital filters are designed to approximate the decomposed 1-D specifications. By using balanced approximation as the 1-D design algorithm, a practical algorithm is presented to design stable 2-D separable-denominator digital filters. The algorithm is, computationally efficient and numerically stable.
AB - The paper proposes a technique for the design of 2-D sep- arable-denominator digital filters. The technique is based on decomposing both 2-D separable-denominator state-space models and the given 2-D impulse response specifications into 1-D ones. It is proved that the given 2-D) specifications can be optimally decomposed into 1-D specifications via ‘singular value decompositions. Then, 1-D digital filters are designed to approximate the decomposed 1-D specifications. By using balanced approximation as the 1-D design algorithm, a practical algorithm is presented to design stable 2-D separable-denominator digital filters. The algorithm is, computationally efficient and numerically stable.
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U2 - 10.1109/TCS.1987.1086223
DO - 10.1109/TCS.1987.1086223
M3 - Article
AN - SCOPUS:0023399707
VL - 34
SP - 934
EP - 941
JO - IEEE Transactions on Circuits and Systems
JF - IEEE Transactions on Circuits and Systems
SN - 0098-4094
IS - 8
ER -