Title :
A computational method for the LU decomposition of rectangular matrices and its implications to the realization of 2-D digital filters
Author :
Charalambous, Christakis ; Nashashibi, Adib
Author_Institution :
Cyprus Inst. of Neurol. & Genetics, Nicosia, Cyprus
Abstract :
Investigates the realization of 2-D digital filters based on the lower-upper triangular (LU) decomposition of the coefficient matrix. Based on QR decomposition, a novel numerical method that has some important characteristics is proposed to obtain the LU structure. Furthermore, the QR structure can be used for the realization and possesses good numerical characteristics in terms of the approximate realization scheme and the coefficients´ values in the structure
Keywords :
matrix algebra; numerical methods; two-dimensional digital filters; 2D digital filters; LU decomposition; QR decomposition; approximate realization scheme; coefficient matrix; computational method; lower-upper triangular decomposition; numerical method; rectangular matrices; Equations; Filters; Matrix decomposition;
Conference_Titel :
Circuits and Systems, 1991., IEEE International Sympoisum on
Print_ISBN :
0-7803-0050-5
DOI :
10.1109/ISCAS.1991.176412
