Title :
Cascade-parallel realization of 2-D separable-denominator transfer functions using a variant partial-fraction expansion
Author :
Guo, Tong-Yi ; Hwang, Chyi
Author_Institution :
Dept. of Electr. Eng., Nat. Kaohsiung Inst. of Technol., Taiwan
fDate :
1/1/1990 12:00:00 AM
Abstract :
A direct procedure based on using a variant partial-fraction expansion (VPFE) is presented for finding a canonical minimal realization of cascade-parallel structure for 2-D transfer functions having a separable denominator. A similarity transforming matrix that transforms a 2-D separable-denominator state-space model from a phase-variable canonical form to the VPFE canonical form is presented. A numerical example is provided to illustrate the procedure
Keywords :
cascade networks; matrix algebra; state-space methods; transfer functions; two-dimensional digital filters; 2D transfer functions; canonical minimal realization; cascade-parallel structure; direct procedure; phase-variable canonical form; separable-denominator; similarity transforming matrix; state-space model; variant partial-fraction expansion; Controllability; Costs; Digital filters; Digital signal processing; Frequency domain analysis; Linear systems; Observability; Reduced order systems; Transfer functions; Two dimensional displays;
Journal_Title :
Circuits and Systems, IEEE Transactions on
