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

fYear

2006

fDate

4-7 Dec. 2006

Firstpage

390

Lastpage

393

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 L₂norm. 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;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2006. APCCAS 2006. IEEE Asia Pacific Conference on

Conference_Location

Singapore

Print_ISBN

1-4244-0387-1

Type

conf

DOI

10.1109/APCCAS.2006.342452

Filename

4145413