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A New Approach to Stability Evaluation of Digital Filters

Abstract

In this paper, a new numerical method of evaluating digital filter stability is presented. This approach is based on novel root-finding algorithms at the complex plane using the Delaunay triangulation and Cauchy's Argument Principle. The presented algorithm locates unstable zeros of the characteristic equation with their multiplicities. The proposed method is generic and can be applied to a vast range of systems. Verification of this method is presented with benchmarks that include integer-order and fractional-order digital filters.

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Details

Category:
Conference activity
Type:
publikacja w wydawnictwie zbiorowym recenzowanym (także w materiałach konferencyjnych)
Title of issue:
2018 25th International Conference "Mixed Design of Integrated Circuits and System" (MIXDES) strony 351 - 354
Language:
English
Publication year:
2018
Bibliographic description:
Grzymkowski L., Stefański T.: A New Approach to Stability Evaluation of Digital Filters// 2018 25th International Conference "Mixed Design of Integrated Circuits and System" (MIXDES)/ ed. Andrzej Napieralski Łódź: Politechnika Łódzka, 2018, s.351-354
DOI:
Digital Object Identifier (open in new tab) 10.23919/mixdes.2018.8436856
Verified by:
Gdańsk University of Technology

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