Title :
On minimal realization of 2-D systems
Author :
Gu, Guoxiang ; Aravena, Jorge L. ; Zhou, Kemin
Author_Institution :
Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA
fDate :
10/1/1991 12:00:00 AM
Abstract :
An algorithm to obtain possibly absolutely minimal realizations of a given 2-D transfer function is developed. It is algebraic in nature and requires only 1-D realization theory and basic knowledge of linear algebra. Hence, the algorithm is simple and easy to program. The algorithm is guaranteed to yield absolutely minimal realizations for 2-D transfer functions having separable numerators and may also be applicable to general 2-D systems satisfying a certain consistency condition. An example is used to illustrate the effectiveness of the algorithm
Keywords :
linear algebra; network synthesis; transfer functions; 2D systems; consistency condition; linear algebra; minimal realization; separable numerators; transfer functions; Circuits and systems; Delay systems; Digital filters; Equations; Linear algebra; Matrix decomposition; Polynomials; Singular value decomposition; Transfer functions;
Journal_Title :
Circuits and Systems, IEEE Transactions on
