Stability of the 2-D Givone-Roesser Model With Periodic Coefficients
نویسندگان
چکیده
The stability of two-dimensional (2-D) periodically shift varying (PSV) filters formulated as the Givone-Roesser (GR) model is studied. The applications of these filters include processing video signals with cyclostationary noise, image and video scrambling, and design of multiplierless filters. The GR model is embedded into the second model of Fornasini-Marchesisni (FM) and the stability of this embedded model is then studied. Several sufficient conditions and one necessary condition are derived for stability. These conditions are compared for their relative computational complexities and their restrictions. Based on the computational complexities of implementing these conditions, an algorithm is proposed to determine the stability of a given 2-D PSV system. Several examples are given to illustrate the results.
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 کاملControl for stability and Positivity of 2-D linear discrete-time systems
This paper investigate the stabilizability of 2-D linear discrete-time systems described by the Roesser model with closed-loop positivity. Necessary and sufficient condition for the existence of desired state-feedback controllers guaranteeing the resultant closed-loop system to be asymptotically stable and positive is obtained. The synthesis of state-feedback controllers, including the requirem...
متن کاملPermanence and Uniformly Asymptotic Stability of Almost Periodic Positive Solutions for a Dynamic Commensalism Model on Time Scales
In this paper, we study dynamic commensalism model with nonmonotic functional response, density dependent birth rates on time scales and derive sufficient conditions for the permanence. We also establish the existence and uniform asymptotic stability of unique almost periodic positive solution of the model by using Lyapunov functional method.
متن کاملStability of the 2D Fornasini-Marchesini model with periodic coefficients
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...
متن کاملStability of 2-D distributed processes with time-variant communication delays
Motivated by the applications of parallel and distributed computing in m−D systems, this paper analyzes the effect of time-variant communication delays on the stability of 2−D systems. The timevariant communication delays are at £rst modeled and then used in the formulation of the 2−D Roesser local state space model. The arising overall dynamic system model is of uncertain, shift-variant form a...
متن کاملذخیره 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 ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- IEEE Trans. on Circuits and Systems
دوره 54-I شماره
صفحات -
تاریخ انتشار 2007