Finite-Frequency Model Reduction of Two-Dimensional Digital Filters

Author

Da-Wei Ding ; Xin Du ; Xiaoli Li

Author_Institution

Sch. of Autom. & Electr. Eng., Univ. of Sci. & Technol. Beijing, Beijing, China

Volume

60

Issue

6

fYear

2015

fDate

Jun-15

Firstpage

1624

Lastpage

1629

Abstract

This technical note is concerned with the model reduction problem of two-dimensional (2-D) digital filters over finite-frequency ranges. The 2-D digital filter is described by the Fornasini-Marchesini local state-space (FM LSS) model. With the aid of the generalized Kalman-Yakubovich-Popov (GKYP) lemma for 2-D systems, sufficient conditions for the finite-frequency model reduction problem are derived. Compared with full-frequency methods, the proposed finite-frequency method can get a better approximation performance over finite-frequency ranges. An example is given to demonstrate the effectiveness of the proposed method.

Keywords

filtering theory; reduced order systems; two-dimensional digital filters; Fornasini-Marchesini local state-space model; finite-frequency model reduction; finite-frequency ranges; generalized Kalman-Yakubovich-Popov lemma; two-dimensional digital filters; Approximation error; Frequency modulation; Mathematical model; Optimization; Reduced order systems; Symmetric matrices; 2-D systems; FM LSS model; Finite frequency; model reduction;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2014.2359305

Filename

6905723