Title :
On the generalized eigenvectors of a class of moment matrices
Author :
Hanna, Magdy Tawfik
Author_Institution :
Dept. of Eng., Cairo Univ., Fayoum, Egypt
fDate :
8/1/1998 12:00:00 AM
Abstract :
An investigation is made of the eigenstructure of a class of lower triangular moment matrices that arose in the context of finding the forced response of IIR filters to typical excitations. It is found that the Jordan matrix can have at most two types of Jordan blocks. The modal matrix is shown to have a peculiar structure where the progenitors in the column partitions corresponding to the Jordan blocks have a certain pattern
Keywords :
IIR filters; digital filters; eigenvalues and eigenfunctions; filtering theory; matrix algebra; IIR digital filters; Jordan blocks; Jordan matrix; column partitions; eigenstructure; excitations; forced response; generalized eigenvectors; lower triangular moment matrices; modal matrix; progenitors; Difference equations; Digital filters; IIR filters; Mathematics; Physics; Polynomials;
Journal_Title :
Signal Processing, IEEE Transactions on
