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Comments on “Modified criterion for global asymptotic stability of fixed-point state-space digital filters using two’s complement arithmetic” [Automatica 46 (2010) 475–478]

✍ Scribed by Haranath Kar

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
225 KB
Volume
46
Category
Article
ISSN
0005-1098

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✦ Synopsis

A recently reported criterion [Singh V. (2010). Modified criterion for global asymptotic stability of fixedpoint state-space digital filters using two's complement arithmetic. Automatica, 46,[475][476][477][478], which is a modified version of an earlier criterion due to Mills-Mullis-Roberts, for the global asymptotic stability of fixed-point state-space digital filters with two's complement arithmetic is reviewed. Pertaining to secondorder digital filters, it is shown that Singh's approach will never lead to a larger overflow stability region in the parameter space as compared to that obtainable via Mills-Mullis-Roberts criterion.

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Modified criterion for global asymptotic
Modified criterion for global asymptotic stability of fixed-point state-space digital filters using two’s complement arithmetic
✍ Vimal Singh 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 881 KB

## a b s t r a c t A criterion for the global asymptotic stability of fixed-point state-space digital filters using two's complement arithmetic is presented. The criterion is a modified form of a well-known criterion due to Mills, Mullis, and Roberts. The criterion is in the form of linear matrix