Stability of the 2D Fornasini-Marchesini model with periodic coefficients

نویسندگان

  • Tamal Bose
  • Ratchaneekorn Thamvichai
  • Milena Radenkovic
چکیده

The stability of two-dimensional (2-D) periodically shift varying (PSV) filters is considered. These filters have applications in filtering video signals with cyclostationary noise, image and video scrambling, and design of multiplierless filters. The considered system is represented in state space by the first model of Fornasini-Marchesini with periodic coefficients. Then the stability of this model is studied. Two necessary conditions and two sufficient conditions are established for asymtotic stability. The conditions are easy to use and computationally simple.

برای دانلود 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

Stability of Two-Dimensional Discrete Systems With Periodic Coefficients

Two-dimensional (2-D) discrete systems with periodic coefficients are considered for stability. These systems are called periodically shift variant (PSV) digital filters and have many applications in signal processing that include the filtering of 2-D signals with cyclostationary noise, scrambling of digital images, and implementation of multirate filter banks. In this paper, the filters are fo...

متن کامل

On Realization of 2D Discrete Systems by Fornasini-Marchesini Model

In this paper, we propose a constructive realization procedure for 2D systems which may lead to a Fornasini-Marchesini local state-space model with much lower order than the existing realization procedure given by Bisiacco et al. Nontrivial examples are illustrated and the conditions for minimal realization are also discussed.

متن کامل

Structural Stabilization of Linear 2D Discrete Systems using Equivalence Transformations

We consider stability and stabilization issues for linear two-dimensional (2D) discrete systems. We give a general definition of structural stability for all linear 2D discrete systems which coincides with the existing definitions in the particular cases of the classical Roesser and Fornasini-Marchesini discrete models. We study the preservation of the structural stability by equivalence transf...

متن کامل

A Survey on the Stability of 2-D Discrete Systems Described by Fornasini-Marchesini Second Model

A key issue of practical importance in the two-dimensional (2-D) discrete system is stability analysis. Linear state-space models describing 2-D discrete systems have been proposed by several researchers. A popular model, called Fornasini-Marchesini (FM) second model was proposed by Fornasini and Marchesini in 1978. The aim of this paper is to present a survey of the existing literature on the ...

متن کامل

An Algebraic Approach to the Observer-Based Feedback Stabilization of Linear 2D Discrete Models

In a recent work, we have investigated the state feedback structural stabilization of linear 2D discrete models. Our main tools are a procedure which enables the state feedback stabilization of Roesser models and equivalence transformations in the sense of the algebraic analysis approach to linear systems theory. Starting from a Fornasini-Marchesini model, we can compute (if it exists) a stabil...

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

برای دانلود 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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2001