Simplified computation of l2-sensitivity for 1-D and a class of 2-D state-space digital filters considering 0 and ±1 elements

Author

Hinamoto, Yoichi ; Doi, Akimitsu

Author_Institution

Dept. of Electron. & Comput. Eng., Kagawa Nat. Coll. of Technol., Takamatsu, Japan

fYear

2013

fDate

29-31 July 2013

Firstpage

53

Lastpage

58

Abstract

A simplified method of computing an improved l₂-sensitivity measure is developed for state-space digital filters by reducing the number of the Lyapunov equations, and it is expanded into a class of two-dimensional (2-D) state-space digital filters. First, a conventional improved l₂-sensitivity for state-space digital filters is reviewed and simplified to two novel forms so that the number of the Lyapunov equations is reduced. Next, the resulting mehod is expanded into a class of 2-D state-space digital filters. Finally, two numerical examples are presented to evaluate more precise (improved) l₂-sensitivity measures for 1-D and a class of 2-D state-space digital filters by employing the proposed methods.

Keywords

Lyapunov methods; digital filters; 1-D state-space digital filters; 2-D state-space digital filters; Lyapunov equations; Digital filters; Mathematical model; Sensitivity analysis; Silicon; State-space methods; Transfer functions; 0 and ±1 Elements; Coefficient Sensitivity Analysis; Dual Systems; Fornasini-Marchesini Second Local State-space Model; Improved l2-Sensitivity; L2-Sensitivity Measures; State-space Digital Filters; a Class of 2-D State-space Digital Filters;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Processing and Multimedia Applications (SIGMAP), 2013 International Conference on

Conference_Location

Reykjavik

Type

conf

Filename

7184672