An LMI approach to the design of 2D FIR multirate filter banks

Author

Ran Yang ; Cishen Zhang ; Xie, Lihua

Author_Institution

Dept. of Electr. & Electron. Eng., Melbourne Univ., Parkville, Vic., Australia

Volume

3

fYear

2003

fDate

25-28 May 2003

Abstract

In this paper, we consider the design of 2D (two-dimensional) FIR (finite impulse response) multirate filter banks. For a given 2D FIR analysis filter bank, we design a 2D FIR synthesis filter bank to minimize the reconstruction error of the filter banks such that the worst case energy gain between the input and the reconstruction error is below a prescribed bound. Our solution is formulated in terms of a set of linear matrix inequalities (LMIs) which can be directly computed by Matlab.

Keywords

FIR filters; circuit CAD; circuit analysis computing; error analysis; linear matrix inequalities; two-dimensional digital filters; 2D FIR analysis filter bank; 2D FIR multirate filter banks; 2D FIR synthesis filter bank; LMI design approach; Matlab; filter bank reconstruction error; finite impulse response multirate filter banks; linear matrix inequalities; worst case energy gain; Channel bank filters; Design engineering; Filter bank; Finite impulse response filter; Image coding; Image reconstruction; Signal analysis; Signal design; Signal processing; Signal synthesis;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2003. ISCAS '03. Proceedings of the 2003 International Symposium on

Print_ISBN

0-7803-7761-3

Type

conf

DOI

10.1109/ISCAS.2003.1205109

Filename

1205109