A novel word length selection method for a guaranteed H-infinity interference rejection performance and overflow oscillation-free realization of 2-D digital filters
- Authors
- Arif, Irza; Tufail, Muhammad; Rehan, Muhammad; Ahn, Choon Ki
- Issue Date
- 10월-2018
- Publisher
- SPRINGER
- Keywords
- Digital filter; 2-D filter; Finite word length; Overflow oscillation elimination; Local stability; External interference
- Citation
- MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, v.29, no.4, pp.1331 - 1350
- Indexed
- SCIE
SCOPUS
- Journal Title
- MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING
- Volume
- 29
- Number
- 4
- Start Page
- 1331
- End Page
- 1350
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/72600
- DOI
- 10.1007/s11045-017-0504-x
- ISSN
- 0923-6082
- Abstract
- This paper examines the problem of the local overflow stability and disturbance attenuation performance analysis of two-dimensional (2-D) Roesser digital filters in the presence of external interferences. In particular, by utilizing the local properties of saturation nonlinearity and Lyapunov stability theory, a novel linear matrix inequality (LMI)-based condition is proposed that not only ensures the nonexistence of overflow oscillations, but also yields the H-infinity interference rejection performance of 2-D digital filters under the overflow constraint. It is worth mentioning here that in contrast to the traditional approaches based on modeling the saturation with a global sector-bound condition, the proposed approach provides a less conservative bound for the attenuation of disturbances and renders the idea of minimum word length for realizing the 2-D (Roesser) filter to eliminate overflow oscillations and attain the specified H-infinity interference attenuation performance index. Finally, a numerical simulation example is also provided, which demonstrates the superiority of the proposed method over the existing techniques.
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