Roundoff noise minimization in two-dimensional state-space digital filters using error feedback

Author

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

Author_Institution

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

Volume

4

fYear

2003

fDate

25-28 May 2003

Abstract

This paper considers the problem of minimizing roundoff noise in two-dimensional (2-D) state-space digital filters subject to L₂-norm dynamic-range scaling constraints. The minimization will be achieved by using error feedback. Several techniques for the determination of the optimal full-scale, block-diagonal, diagonal, and scalar error-feedback matrices for a given 2-D state-space digital filter are proposed. A numerical example is presented to illustrate the utility of the proposed techniques.

Keywords

circuit feedback; circuit noise; circuit optimisation; matrix algebra; minimisation; quantisation (signal); roundoff errors; state-space methods; two-dimensional digital filters; L₂-norm dynamic-range scaling constraint; block-diagonal error-feedback matrices; diagonal error-feedback matrices; error feedback; numerical example; optimal full-scale error-feedback matrices; roundoff noise minimization; scalar error-feedback matrices; two-dimensional state-space digital filters; Artificial intelligence; Covariance matrix; Delay; Digital filters; Noise reduction; Output feedback; Quantization; Roundoff errors; State feedback; Table lookup;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2003. ISCAS '03. Proceedings of the 2003 International Symposium on

Print_ISBN

0-7803-7761-3

Type

conf

DOI

10.1109/ISCAS.2003.1205903

Filename

1205903