Joint optimization of error feedback and coordinate transformation for roundoff noise minimization in 2D state-space digital filters

Author

Hinamoto, Takao ; Ohnishi, Hiroaki ; Lu, Wu-Sheng

Author_Institution

Graduate Sch. of Eng., Hiroshima Univ., Japan

Volume

3

fYear

2004

fDate

23-26 May 2004

Abstract

The joint optimization of an error-feedback matrix and a coordinate-transformation matrix 2-D state-space digital filters for roundoff noise minimization subject to L₂-norm dynamic-range scaling constraints is investigated. 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.

Keywords

circuit feedback; circuit optimisation; digital filters; iterative methods; minimisation; state-space methods; two-dimensional digital filters; 2D state-space digital filters; L₂-norm; coordinate-transformation matrix; dynamic-range scaling constraints; error-feedback matrix; joint optimization; linear-algebraic techniques; quasiNewton algorithm; roundoff noise minimization; unconstrained optimization problem; Constraint optimization; Digital filters; Fixed-point arithmetic; IIR filters; Iterative algorithms; Matrix converters; Noise reduction; Nonlinear filters; Quantization; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2004. ISCAS '04. Proceedings of the 2004 International Symposium on

Print_ISBN

0-7803-8251-X

Type

conf

DOI

10.1109/ISCAS.2004.1328703

Filename

1328703