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
✦ LIBER ✦
Properties of two’s complement floating point notations
✍ Scribed by Sylvie Boldo; Marc Daumas
- Book ID
- 106245360
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 262 KB
- Volume
- 5
- Category
- Article
- ISSN
- 1433-2779
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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
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