Stability of 2-D Digital Filters under Parameter Variations

نویسندگان

  • ANDREAS ANTONIOU
  • PANAJOTIS AGATHOKLIS
چکیده

The relationship between the stability margins of a 2-D digital filter (or discrete system) and the norm of the transition matrix of its minimum-norm realization is considered. Upper bounds on parameter variations, which guarantee the stability of a perturbed 2-D digital filter, are then derived in terms of the minimum norm. The results obtained are illustrated by two examples.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Design of IIR Digital Filter using Modified Chaotic Orthogonal Imperialist Competitive Algorithm (RESEARCH NOTE)

There are two types of digital filters including Infinite Impulse Response (IIR) and Finite Impulse Response (FIR). IIR filters attract more attention as they can decrease the filter order significantly compared to FIR filters. Owing to multi-modal error surface, simple powerful optimization techniques should be utilized in designing IIR digital filters to avoid local minimum. Imperialist compe...

متن کامل

An improved criterion for the global asymptotic stability of 2-D state-space digital filters with finite wordlength nonlinearities

This paper investigates the problem of global asymptotic stability of fixed-point statespace two-dimensional (2-D) digital filters described by the Roesser model in the presence of finite wordlength nonlinearities. The class of nonlinearities under consideration captures the combined effects of quantization (except value truncation) and overflow arithmetic employed in practice. A new criterion ...

متن کامل

Low latency IIR digital filter design by using metaheuristic optimization algorithms

Filters are particularly important class of LTI systems. Digital filters have great impact on modern signal processing due to their programmability, reusability, and capacity to reduce noise to a satisfactory level. From the past few decades, IIR digital filter design is an important research field. Design of an IIR digital filter with desired specifications leads to a no convex optimization pr...

متن کامل

A Comparative Study of Stability Testing Approaches of Two-Dimensional Recursive Digital Filters

There are many problems in science and engineering whose solution is applied in the design of Multi-Dimensional (MD) digital filters. Digital filtering finds an important position in the field of digital signal and image processing. Recently there had been a great deal of interest in the design and stability analysis of Two-Dimensional (2-D) recursive digital filters. The design techniques for ...

متن کامل

Lyapunov Stability of Two-Dimensional Digital Filters with Overflow Nonlinearities - Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

In this short paper, the second method of Lyapunov is utilized to establish sufficient conditions for the global asymptotic stability of the trivial solution of zero-input two-dimensional (2-D) Fornasini–Marchesini state-space digital filters which are endowed with a general class of overflow nonlinearities. Results for the global asymptotic stability of the null solution of the 2-D Fornasini–M...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1986