DocumentCode :
3064993
Title :
2-D state-space realizations with fewer multipliers and invariant norms
Author :
Aboulnasr, T.T. ; Fahmy, M.M.
Author_Institution :
Queen´´s University, Kingston, Ontario, Canada
Volume :
8
fYear :
1983
fDate :
30407
Firstpage :
415
Lastpage :
418
Abstract :
A similarity transformation that reduces the number of multipliers in a given realization is presented. The transformation is orthogonal and thus preserves 
. This guarantees that overflow stability is not sacrificed for fewer nonzero coefficients. It is shown that this transformation does not affect the sensitivity of the transfer function to variations in its coefficients. An example of a general 1-Q second order filter is given.
. This guarantees that overflow stability is not sacrificed for fewer nonzero coefficients. It is shown that this transformation does not affect the sensitivity of the transfer function to variations in its coefficients. An example of a general 1-Q second order filter is given.Keywords :
Eigenvalues and eigenfunctions; Matrix decomposition; Nonlinear equations; Singular value decomposition;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '83.
Type :
conf
DOI :
10.1109/ICASSP.1983.1172117
Filename :
1172117
Link To Document :
