An improved stability criterion for fixed-point state-space digital filters using two’s complement arithmetic
✍ Scribed by Tao Shen; Zhugang Yuan; Xiaohong Wang
- Book ID
- 113481450
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 217 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0005-1098
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## 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
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
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