Title :
A factorization procedure for FIR paraunitary matrices
Author :
Lannes, Sarah ; Bose, N.K.
Author_Institution :
Dept. of Electr. Eng., Pennsylvania State Univ., University Park, PA, USA
Abstract :
A constructive factorization procedure for a polynomial paraunitary matrix as a product of atomic paraunitary matrices, each of lowest degree, is given. The generic form of these paraunitary factors results from the use of projection matrices. In the univariate case, each factor is of degree 1. In the multivariate case, the generic factor is constructed based on the assumption of its existence.
Keywords :
matrix decomposition; polynomial matrices; FIR paraunitary matrices; atomic paraunitary matrices; constructive factorization procedure; matrix factorization; multivariate case; polynomial paraunitary matrix; projection matrices; univariate case; Arithmetic; Filter bank; Finite impulse response filter; Lattices; Matrix decomposition; Polynomials; Signal processing;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 2005. Proceedings. (ICASSP '05). IEEE International Conference on
Print_ISBN :
0-7803-8874-7
DOI :
10.1109/ICASSP.2005.1416062
