Title :
Approximation of FIR by IIR digital filters using orthonormal bases
Author :
Aldhaheri, Rabah W. ; Al-Hussaini, Nazeeh B.
Author_Institution :
Dept. of Electr. & Comput. Eng., King Abdulaziz Univ., Jeddah, Saudi Arabia
Abstract :
A new technique for digital filter design is presented. The technique is based on finding the eigenspaces associated with the large eigenvalues of the cross gramian matrix Wco, which tends to be symmetric and easy to construct. The eigenspaces are computed by using the ordered real Schur form decomposition, which has been proved to be robust and numerically stable. Two examples are given to illustrate this technique
Keywords :
FIR filters; IIR filters; approximation theory; digital filters; eigenvalues and eigenfunctions; matrix decomposition; numerical stability; cross gramian matrix; digital filter design; eigenspaces; eigenvalues; numerically stable; ordered real Schur form decomposition; Control systems; Controllability; Digital filters; Equations; Finite impulse response filter; IIR filters; Observability; State-space methods; Symmetric matrices; Transfer functions;
Conference_Titel :
Information, Communications and Signal Processing, 1997. ICICS., Proceedings of 1997 International Conference on
Print_ISBN :
0-7803-3676-3
DOI :
10.1109/ICICS.1997.652200
