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Modified criterion for global asymptotic stability of fixed-point state-space digital filters using two’s complement arithmetic

✍ Scribed by Vimal Singh

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

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✦ Synopsis

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 inequality and, hence, computationally tractable. An example shows the effectiveness of the modified criterion.

📜 SIMILAR VOLUMES

Comments on “Modified criterion for glob
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]
✍ Haranath Kar 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 225 KB

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 th

Stability of fixed-point state-space dig
Stability of fixed-point state-space digital filters using two’s complement arithmetic: Further insight
✍ Tao Shen; Zhugang Yuan 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 209 KB

The purpose of this note is to point out that for the digital filters using two's complement arithmetic, the criterion in (Singh, 2010) can be transformed into a simpler form; the stability criteria in Singh ( 2010) and Mills et al. (1978) are equivalent in some cases. A third-order example in which