DocumentCode :
1188592
Title :
2-D state-space realizations with fewer multipliers and invariant norms
Author :
Aboulnasr, Tyseer T. ; Fahmy, Moustafa M.
Volume :
30
Issue :
11
fYear :
1983
fDate :
11/1/1983 12:00:00 AM
Firstpage :
804
Lastpage :
808
Abstract :
A similarity transformation that introduces zero coefficients in the A matrix of a local state-space (LSS) realization is presented. The transformation is orthogonal and thus preserves 
. This guarantees that the number of multipliers is reduced without sacrificing zero input stability to nonlinearities satisfying 
. It is shown that the transformation does not affect the sensitivity. The results are extended to the generalized asymmetric half-plane state-space model. An example of a general 
second-order filter is given.
. This guarantees that the number of multipliers is reduced without sacrificing zero input stability to nonlinearities satisfying . It is shown that the transformation does not affect the sensitivity. The results are extended to the generalized asymmetric half-plane state-space model. An example of a general second-order filter is given.Keywords :
Digital filters; IIR digital filters; Multidimensional digital filters; Arithmetic; Councils; Eigenvalues and eigenfunctions; IIR filters; Linearity; Matrix decomposition; Stability;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1983.1085309
Filename :
1085309
Link To Document :
