Minimum-Phase/All-Pass Factorization of Nonminimum Phase Systems Using Generalized Interactor Matrix
Abstract:This paper is intended to give an explicit expression for minimum-phase/all-pass factorization of any detectable and left invertible multivariable nonminimum phase system. We show that the all-pass part is the inverse of a generalized interactor matrix which corresponds to the unstable invariant zeros of the system. Thus the explicit expression is obtained by directly calculating the generalized interactor matrices. Since our method is a transfer function approch, it can be considered as the complementary to existing state-space approaches.
Keywords:generalized interactor matrixminimum-phase/all-passfactorization
Publication Date:2002-01-01
Online Publishing Date:2025-08-15(First online date of this platform, not the publication date of the document)
Pages:6( 329-334 )
