Optimal design for channel equalization via the filterbank approach

Author

Gu, Guoxiang ; Badran, Ehab F.

Author_Institution

Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA

Volume

52

Issue

2

fYear

2004

Firstpage

536

Lastpage

545

Abstract

Channel equalization is investigated via the filterbank approach. A necessary and sufficient condition is established for perfect reconstruction (PR) of the transmitter-receiver filterbanks. If the PR condition holds, then all causal and stable receiver filterbanks that achieve PR are parameterized. It is further shown that the receiver filterbank for optimal channel equalization has the form of state estimator and is a modified Kalman filter. The design algorithm for optimal channel equalizers is developed. A simulation example is worked out to illustrate the proposed design algorithm.

Keywords

Kalman filters; channel bank filters; equalisers; intersymbol interference; least mean squares methods; transceivers; Kalman filter; asymptotic stability; block transmission; filterbank approach; intersymbol interference; minimum mean square error; optimal channel equalization design; optimal state estimator; perfect reconstruction; transceivers; transmitter-receiver filterbanks; Algorithm design and analysis; Equalizers; Filter bank; Redundancy; State estimation; Sufficient conditions; Transceivers; Transfer functions; Transmitters; Wireless communication;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/TSP.2003.820990

Filename

1261338