Robust FIR filter design with envelope constraints and channel uncertainty

Author

Lee, Ching-Min ; Fong, I-Kong

Author_Institution

Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan

Volume

52

Issue

6

fYear

2004

fDate

6/1/2004 12:00:00 AM

Firstpage

1797

Lastpage

1801

Abstract

In this note, a finite impulse response (FIR) filter design problem is considered. The signals to be filtered are assumed to be corrupted by the channel noise. In addition, the channel characteristics are assumed to contain uncertainties. The linear matrix inequalities approach is adopted to provide two optimization procedures for designing H_∞ optimal filters and robust H_∞ filters subject to filter output envelope constraints. A numerical example is presented to illustrate the proposed filter design methods.

Keywords

FIR filters; H^∞ optimisation; linear matrix inequalities; stability; FIR filter design; H_∞ filters; bounded stability; channel noise; channel uncertainty; envelope constraints; finite impulse response; integral quadratic constraints; linear matrix inequalities approach; optimization procedures; Constraint optimization; Deconvolution; Design methodology; Filtering; Finite impulse response filter; Linear matrix inequalities; Nonlinear filters; Robustness; Signal design; Uncertainty; Bounded stability; integral quadratic constraints; linear matrix inequality; robust FIR filter; time-domain envelope constraint;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/TSP.2004.827142

Filename

1299112