Abstract
This paper introduces an induced l∞ approach (also known as a peak-to-peak approach) to derive a new criterion for the realization of state-space direct form digital filters free of overflow limit cycles. The criterion guarantees asymptotic stability and reduces the effect of external interference to an induced l∞ norm constraint. The criterion can overcome some disadvantages of existing criteria. Finally, a numerical example is presented to demonstrate the efficacy of the proposed stability criterion.
Original language | English |
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Pages (from-to) | 3285-3291 |
Number of pages | 7 |
Journal | International Journal of Innovative Computing, Information and Control |
Volume | 9 |
Issue number | 8 |
Publication status | Published - 2013 |
Keywords
- Approach (or peak-to-peak approach)
- Asymptotic stability
- Direct form digital filters
- Finite wordlength effects
- Induced l
- Linear matrix inequality (LMI)
ASJC Scopus subject areas
- Software
- Theoretical Computer Science
- Information Systems
- Computational Theory and Mathematics