DocumentCode
3269362
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
fYear
2009
fDate
8-10 Dec. 2009
Firstpage
1
Lastpage
4
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;
fLanguage
English
Publisher
ieee
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
Type
conf
DOI
10.1109/ICICS.2009.5397546
Filename
5397546
Link To Document