An alternative sensitivity for state-space digital filters

Author

Xiao, Chengshan

Author_Institution

Dept. of Electr. Eng., Sydney Univ., NSW, Australia

fYear

1994

fDate

5-8 Dec 1994

Firstpage

220

Lastpage

224

Abstract

In this paper, a new sensitivity measure for state-space digital filters is proposed. The new measure is a modified form of Tavsanoglu and Thiele´s measure, but the new one has three advantages: (1) it is more precise than Tavsanoglu and Thiele´s measure when the state-space realizations of a digital filter contain 0 and ±1 coefficients; (2) it can be used to explain why the sparse Schur and Hessenberg realizations will give a better actual sensitivity performance than the corresponding fully parametrized optimal realizations; (3) it is equal to the global roundoff noise gain G=tr(QW)+γ obtained by Hwang under the dynamic constraint

Keywords

digital filters; roundoff errors; sensitivity analysis; state-space methods; transfer functions; finite word length; global roundoff noise gain; sensitivity measure; sparse Schur-Hessenberg realization; state-space digital filters; transfer functions; Australia; Digital filters; Digital systems; Electric variables measurement; Electronic mail; Gain measurement; Noise measurement; Particle measurements; Quantization; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1994. APCCAS '94., 1994 IEEE Asia-Pacific Conference on

Conference_Location

Taipei

Print_ISBN

0-7803-2440-4

Type

conf

DOI

10.1109/APCCAS.1994.514553

Filename

514553