Jointly optimized error feedback and realization for roundoff noise minimization in two-dimensional state-space digital filters

Author

Hinamoto, Takao ; Higashi, Keisuke ; Lu, Wu-Sheng

Author_Institution

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

Volume

3

fYear

2003

fDate

6-10 April 2003

Abstract

The minimization of roundoff noise subject to l₂-norm dynamic-range scaling constraints in two-dimensional (2-D) state-space digital filters is considered by using joint error feedback and coordinate transformation optimization. An iterative approach for minimizing the roundoff noise under l₂-norm dynamic-range scaling constraints is developed by jointly optimizing a scalar error-feedback matrix and a coordinate transformation matrix. A numerical example is presented to illustrate the utility of the proposed technique.

Keywords

error analysis; feedback; filtering theory; iterative methods; matrix algebra; optimisation; roundoff errors; state-space methods; two-dimensional digital filters; 2D state-space digital filters; coordinate transformation matrix; coordinate transformation optimization; iterative approach; jointly optimized error feedback; l₂-norm dynamic-range scaling constraints; roundoff noise minimization; scalar error-feedback matrix; two-dimensional state-space digital filters; Constraint optimization; Digital filters; Hardware; Iterative methods; Noise reduction; Output feedback; Quantization; State feedback; Table lookup; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03). 2003 IEEE International Conference on

ISSN

1520-6149

Print_ISBN

0-7803-7663-3

Type

conf

DOI

10.1109/ICASSP.2003.1199471

Filename

1199471