Stability analysis of 2-D PSV filters described by FM-1 model

Author

Shah, Prashant ; Kar, Haranath ; Srivastava, Vinaya Kumar

Author_Institution

ECED, Motilal Nehru Nat. Inst. of Technol., Allahabad, India

fYear

2011

fDate

16-18 Sept. 2011

Firstpage

6115

Lastpage

6119

Abstract

The stability of two-dimensional (2-D) periodically shift varying (PSV) filters is considered. The considered system is represented in state space by the first model of Fornasini-Marchesini (FM) with periodic coefficients. The stability of this model is then studied. Two sufficient conditions are established for asymptotic stability. The conditions are easy to use and numerically traceable with the help of software´s such as MATLAB LMI Toolbox. Proposed criteria is compared with that by tamal bose[18] published in IEEE transaction and it is proved with numerical example that, It is more relaxed minimizing the gap between necessary and sufficient conditions.

Keywords

filtering theory; numerical analysis; 2D PSV filters; FM model; FM-1 model; Fornasini-Marchesini model; IEEE transaction; MATLAB LMI toolbox; stability analysis; tamal bose; two-dimensional periodically shift varying filters; Digital filters; Filter banks; Frequency modulation; Mathematical model; Numerical stability; Stability criteria; 2-D Fornasini-Marchesini first model; periodically shift varying (PSV) filters; stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical and Control Engineering (ICECE), 2011 International Conference on

Conference_Location

Yichang

Print_ISBN

978-1-4244-8162-0

Type

conf

DOI

10.1109/ICECENG.2011.6057967

Filename

6057967