Application of infinite dimensional linear programming to FIR filter design with time domain constraints

Author

Nordebo, Sven ; Zang, Zhuquan

Author_Institution

Telecommun. Res. Inst., Curtin Univ. of Technol., Bentley, WA, Australia

Volume

3

fYear

1998

fDate

12-15 May 1998

Firstpage

1297

Abstract

Previously the envelope-constrained filtering problem was formulated as designing an FIR filter such that the filter´s L₂ norm is minimised subject to the constraint that its response to a specified input pulse lies within a prescribed envelope. We recast this filter design problem as a frequency-domain L_∞ optimization problem with time-domain constraints. Motivations for solving this problem are given. Then infinite dimensional linear programming techniques are used for the design of the required FIR filter. For illustration, we apply the approach to a numerical example which deals with the design of an equalization filter for a digital transmission channel

Keywords

FIR filters; H^∞ optimisation; circuit optimisation; digital communication; digital filters; equalisers; frequency-domain synthesis; linear programming; telecommunication channels; FIR filter design; digital transmission channel; envelope-constrained filtering problem; equalization filter; frequency-domain L_∞ optimization problem; infinite dimensional linear programming; input pulse response; signal processing; time domain constraints; time-domain constraints; Constraint optimization; Design optimization; Filtering; Finite impulse response filter; Linear programming; Noise shaping; Pulse shaping methods; Shape; Signal design; Signal processing;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech and Signal Processing, 1998. Proceedings of the 1998 IEEE International Conference on

Conference_Location

Seattle, WA

ISSN

1520-6149

Print_ISBN

0-7803-4428-6

Type

conf

DOI

10.1109/ICASSP.1998.681683

Filename

681683