A novel word length selection method for a guaranteed H∞ interference rejection performance and overflow oscillation-free realization of 2-D digital filters

Irza Arif, Muhammad Tufail, Muhammad Rehan, Choon Ki Ahn

Research output: Contribution to journalArticle

3 Citations (Scopus)


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 (Formula presented.) 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 (Formula presented.) interference attenuation performance index. Finally, a numerical simulation example is also provided, which demonstrates the superiority of the proposed method over the existing techniques.

Original languageEnglish
Pages (from-to)1-20
Number of pages20
JournalMultidimensional Systems and Signal Processing
Publication statusAccepted/In press - 2017 Jun 20



  • 2-D filter
  • Digital filter
  • External interference
  • Finite word length
  • Local stability
  • Overflow oscillation elimination

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Information Systems
  • Hardware and Architecture
  • Computer Science Applications
  • Artificial Intelligence
  • Applied Mathematics

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