An alternative sensitivity for state-space digital filters

作者: Chengshan Xiao

DOI: 10.1109/APCCAS.1994.514553

关键词: Measure (mathematics)Control theoryDigital filterState space digital filtersConstraint (information theory)Transfer functionMathematicsAlgorithmRoundoff noiseSensitivity (control systems)

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

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