Title :
An alternate cascade factorization for para-unitary matrices
Author :
Regalia, Phillip A. ; Mitra, Sanjit K.
Author_Institution :
Dept. Electron. et Commun., Inst. Nat. des Telecommun., Evry, France
fDate :
11/1/1991 12:00:00 AM
Abstract :
A cascade factorization procedure is derived for paraunitary matrices, resulting in a structure consisting of constant unitary matrices and diagonal matrices of scalar all-pass functions. The factorization is canonic in the number of internal states and includes FIR (finite-impulse-response) lattice and wave lattice filters as particular instances. The procedure exploits the special pole-zero properties of paraunitary matrices and gives greater insight into the structure of such matrices
Keywords :
all-pass filters; digital filters; matrix algebra; poles and zeros; FIR; cascade factorization; constant unitary matrices; diagonal matrices; internal states; lattice filters; para-unitary matrices; pole-zero properties; scalar all-pass functions; wave lattice filters; Circuits; Control systems; Digital filters; Filter bank; Finite impulse response filter; Lattices; Network synthesis; Polynomials; Robust stability; Signal synthesis;
Journal_Title :
Circuits and Systems, IEEE Transactions on
