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An alternative sensitivity for state-space digital filters

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1 Author(s)
Chengshan Xiao ; Dept. of Electr. Eng., Sydney Univ., NSW, Australia

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

Published in:

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

Date of Conference:

5-8 Dec 1994