Title :
Minimal L2 sensitivity realizations of 2-D systems represented with Fornasini-Marchesini LSS model
Author :
Gang Li ; Qiu, Lunji
Author_Institution :
Centre for Signal Process., Nanyang Technol. Univ., Singapore
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 word length (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 :
digital systems; linear systems; minimisation; multidimensional systems; realisation theory; sensitivity; state-space methods; transfer functions; Fornasini-Marchesini LSS model; finite word length effect; local state-space; minimal L2 sensitivity realization; optimal design; transfer function error; two-dimensional linear digital system; Bismuth; Frequency measurement; Transfer functions; Weight measurement;
Conference_Titel :
Circuits and Systems, 1997. ISCAS '97., Proceedings of 1997 IEEE International Symposium on
Print_ISBN :
0-7803-3583-X
DOI :
10.1109/ISCAS.1997.612858