Title :
Minimization of L2-sensitivity for 2-D state-space digital filters subject to L2-scaling constraints
Author :
Hinamoto, Takao ; Ohnishi, Hiroaki ; Lu, Wu-Sheng
Author_Institution :
Graduate Sch. of Eng., Hiroshima Univ., Japan
Abstract :
A new approach to the problem of minimizing L2-sensitivity subject to L2-norm scaling constraints for two-dimensional (2-D) state-space digital filters is proposed. Using linear-algebraic techniques, the problem at hand is converted into an unconstrained optimization problem, and the unconstrained problem obtained is then solved by applying an efficient quasi-Newton algorithm. Computer simulation results are presented to illustrate the effectiveness of the proposed technique.
Keywords :
Newton method; linear algebra; minimisation; sensitivity analysis; state-space methods; two-dimensional digital filters; 2D state-space digital filters; L2-scaling constraints; L2-sensitivity; linear-algebraic techniques; quasiNewton algorithm; unconstrained optimization problem; Computer simulation; Constraint optimization; Digital filters; Finite wordlength effects; Quantization; Transfer functions; Two dimensional displays;
Conference_Titel :
Circuits and Systems, 2004. ISCAS '04. Proceedings of the 2004 International Symposium on
Print_ISBN :
0-7803-8251-X
DOI :
10.1109/ISCAS.2004.1328730