Title :
Minimum order input-output equation for linear time-varying digital filters
Author :
Zhang, Cishen ; Wang, Song ; Zheng, Yu Fan
Author_Institution :
Dept. of Electr. & Electron. Eng., Melbourne Univ., Parkville, Vic., Australia
fDate :
7/1/1998 12:00:00 AM
Abstract :
The objective of this paper is to obtain minimum order input-output equations for a class of linear time-varying digital filters in state equation with constant dimension state vector. It is shown that the minimum order of the input-output equation may not be identical to the dimension of the state vector and there exists a nonunique solution for the minimum order input-output equation.
Keywords :
digital filters; filtering theory; linear network analysis; time-varying filters; constant dimension state vector; digital signal processing; linear time-varying digital filters; minimum order input-output equation; nonunique solution; state equation; Australia Council; Differential equations; Digital filters; Digital signal processing; Nonlinear filters; Observability; Vectors;
Journal_Title :
Signal Processing Letters, IEEE