DocumentCode
1287434
Title
On frequency weighted minimal L2 sensitivity of 2-D systems using Fornasini-Marchesini LSS model
Author
Li, Gang
Author_Institution
Sch. of Electr. Eng., Nanyang Technol. Univ., Singapore
Volume
44
Issue
7
fYear
1997
fDate
7/1/1997 12:00:00 AM
Firstpage
642
Lastpage
646
Abstract
The optimal state-space realization design problem is investigated in terms of minimizing a frequency weighted L2-sensitivity measure for two-dimensional (2-D) linear digital systems represented with the Fornasini-Marchesini local state-space (LSS) model. An expression is derived for the transfer function error due to finite wordlength (FWL) effects on parameters. The optimal realization problem is then formulated, which is shown to be equivalent to minimizing the frequency weighted L2-sensitivity measure. The problem is solved and the optimal design procedures are illustrated with an example
Keywords
sensitivity analysis; state-space methods; transfer functions; two-dimensional digital filters; 2D systems; Fornasini-Marchesini LSS model; finite wordlength; frequency weighted minimal L2 sensitivity; linear digital systems; local state-space model; optimal design procedures; state-space realization design problem; transfer function error; Analog integrated circuits; Band pass filters; Circuit analysis; Circuit theory; Frequency measurement; Inductance; Libraries; Minimization; Transfer functions; Two dimensional displays;
fLanguage
English
Journal_Title
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher
ieee
ISSN
1057-7122
Type
jour
DOI
10.1109/81.596947
Filename
596947
Link To Document