Title :
Minimization of L2-Sensitivity for 2-D Separable-Denominator State-Space Digital Filters Subject to L2-Scaling Constraints
Author :
Hinamoto, Takao ; Shibata, Yukihiro ; Lu, Wu-Sheng
Author_Institution :
Graduate Sch. of Eng., Hiroshima Univ., Higashi-Hiroshima
Abstract :
For two-dimensional (2D) separable-denominator state-space digital filters, the minimization problem of an L2-sensitivity measure subject to L2-scaling constraints was investigated. First, the coefficient sensitivity is analyzed by using a pure L2 norm. Next, an iterative algorithm is developed for minimizing an L2-sensitivity measure subject to L2-scaling constraints. This approach largely relies on the use of a Lagrange function and some matrix-theoretic techniques
Keywords :
digital filters; iterative methods; matrix algebra; 2D separable-denominator state-space digital filters; L2-scaling constraints; L2-sensitivity minimization; Lagrange function; Roesser local state-space model; finite word length; iterative algorithm; matrix-theoretic techniques; minimization problem; Constraint optimization; Digital filters; Finite wordlength effects; Iterative algorithms; Minimization methods; Sensitivity analysis; Transfer functions; Two dimensional displays; 2-D separable-denominator filter; L2-scaling constraints; L2-sensitivity minimization; Roesser´s local state-space model; finite word length;
Conference_Titel :
Circuits and Systems, 2006. APCCAS 2006. IEEE Asia Pacific Conference on
Conference_Location :
Singapore
Print_ISBN :
1-4244-0387-1
DOI :
10.1109/APCCAS.2006.342452
