Title :
QR decomposition of rational matrix functions
Author :
Wirski, Robert T. ; Wawryn, Krzysztof W.
Author_Institution :
Fac. of Electron. & Comput. Sci., Koszalin Univ. of Technol., Koszalin, Poland
Abstract :
In the paper, the extension of the Givens and Householder matrices to rational matrix function case is given. Both techniques can be used to triangularize polynomial matrices. Presented results are illustrated by examples including orthogonal 2-D FIR system synthesis.
Keywords :
matrix decomposition; polynomial matrices; Givens matrix; Householder matrix; QR decomposition; orthogonal 2-D FIR system synthesis; polynomial matrix triangulation; rational matrix functions; Digital signal processing; Eigenvalues and eigenfunctions; Equations; Finite impulse response filter; Least squares methods; Linear systems; Matrix decomposition; Paper technology; Polynomials; Reflection; 2-D FIR synthesis; Givens rotations; Householder reflections; orthogonal systems; rational QR;
Conference_Titel :
Information, Communications and Signal Processing, 2009. ICICS 2009. 7th International Conference on
Conference_Location :
Macau
Print_ISBN :
978-1-4244-4656-8
Electronic_ISBN :
978-1-4244-4657-5
DOI :
10.1109/ICICS.2009.5397546
