Title :
A practical two-dimensional Thiele-type matrix Pade´ approximation
Author_Institution :
Dept. of Math., Shanghai Univ., China
Abstract :
In view of several potential applications in multivariable two-dimensional (2-D) systems theory, a practical 2-D matrix Pade´ approximation is introduced by using a generalized inverse of the matrices. The approximants are expressed in the form of the 2-D Thiele-type continued fractions and are computed by an efficient recursive algorithm. As it´s an application, the state-space realization problem of the 2-D filters is discussed.
Keywords :
approximation theory; filters; matrix algebra; multivariable systems; recursive estimation; state-space methods; 2D Thiele-type matrix; 2D filters; Pade approximation; Thiele-type continued fractions; generalized inverse matrix; matrix power series; multivariable 2D systems theory; recursive algorithm; state-space realization problem; Algebra; Filters; Mathematics; Physics; Scattering; Two dimensional displays;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2003.820163
