Title :
On frequency weighted minimal L2 sensitivity of 2-D systems using Fornasini-Marchesini LSS model
Author_Institution :
Sch. of Electr. Eng., Nanyang Technol. Univ., Singapore
fDate :
7/1/1997 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
