Title :
A state-space approach to discrete-time spectral factorization
Author :
Fairman, Frederick W. ; Danylchuk, G.J. ; Louie, J. ; Zarowski, C.J.
Author_Institution :
Dept. of Electr. Eng., Queen´´s Univ., Kingston, Ont., Canada
fDate :
3/1/1992 12:00:00 AM
Abstract :
The classical state-space approach to continuous-time spectral factorization is used to develop a method for discrete-time spectral factorization. This results in a quadratic matrix equation which is referred to as the modified algebraic Riccati equation (MARE). Solving this equation for the factorizing solution constitutes the major part of the computation needed to obtain the spectral factor. Recently developed approaches to the analysis and solution of the matrix Riccati equation encountered in continuous-time control and filtering problems are adapted for use
Keywords :
matrix algebra; signal processing; state-space methods; discrete-time spectral factorization; modified algebraic Riccati equation; quadratic matrix equation; state-space approach; Filtering; Matrix decomposition; Optimal control; Poles and zeros; Polynomials; Process control; Riccati equations; Signal processing; State-space methods; Transfer functions;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
