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)

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 (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
DOIs
Publication statusAccepted/In press - 2017 Jun 20

Fingerprint

Digital Filter
Overflow
Digital filters
Rejection
Interference
Oscillation
Linear matrix inequalities
Attenuation
Saturation
Disturbance Attenuation
Lyapunov Stability Theory
Local Properties
Computer simulation
Performance Index
Nonexistence
Performance Analysis
Matrix Inequality
Linear Inequalities
Sector
Eliminate

Keywords

  • 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

Cite this

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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 (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.",
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N2 - 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.

AB - 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.

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