Realization with minimal weighted pole and zero sensitivity subject to ℓ2-scaling constraints for recursive digital filters

This paper deals with the problem of minimizing weighted pole and zero sensitivity subject to l 2 -scaling constraints for state-space digital filters. A measure for pole and zero sensitivity is presented and an efficient iterative technique for minimizing this measure subject to l 2 -scaling constr...

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Bibliographic Details
Published inIEEE International Conference on Circuits and Systems (Online) pp. 2178 - 2181
Main Authors Hinamoto, Takao, Doi, Akimitsu, Wu-Sheng Lu
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.05.2016
Subjects
Matrix decomposition
Minimization
Poles and zeros
Sensitivity
Symmetric matrices
Weight measurement
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Summary:This paper deals with the problem of minimizing weighted pole and zero sensitivity subject to l 2 -scaling constraints for state-space digital filters. A measure for pole and zero sensitivity is presented and an efficient iterative technique for minimizing this measure subject to l 2 -scaling constraints is developed by relaxing the constraints into a single constraint on matrix trace and solving the relaxed problem with an effective matrix iteration scheme. A numerical example is included to demonstrate the validity and effectiveness of the proposed technique.
ISSN:2379-447X
DOI:10.1109/ISCAS.2016.7539013