Gradient-based adaptive algorithm for minimum phase-all pass decomposition of an FIR system

Author

Flanagan, Mark ; Fagan, A.D.

Author_Institution

Dept. of Electron. & Electr. Eng., Univ. Coll. Dublin, Ireland

Volume

1

fYear

2005

fDate

28 Aug.-2 Sept. 2005

Abstract

An adaptive filtering algorithm which performs minimum phase-all pass (MP-AP) decomposition of an FIR system is proposed. The minimum phase component of the system is modeled as a lattice filter cascaded with a gain stage. Simulation results on randomly generated FIR systems demonstrate convergence of the algorithm to the correct MP-AP decomposition in 92.6% of cases. The algorithm has the additional advantage that it is capable of detecting misconvergence during or after adaptation. These properties combined make the algorithm a strong candidate for use with compound precoding, a pre-equalization method for high-speed modems.

Keywords

FIR filters; adaptive filters; all-pass filters; gradient methods; lattice filters; mean square error methods; FIR system; adaptive filtering algorithm; compound precoding; gradient-based adaptive algorithm; high-speed modems; lattice filter; minimum phase-all pass decomposition; pre-equalization method; Adaptive algorithm; Adaptive filters; Convergence; Filtering algorithms; Finite impulse response filter; Lattices; Modems; Reflection; Stochastic processes; Transversal filters;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuit Theory and Design, 2005. Proceedings of the 2005 European Conference on

Print_ISBN

0-7803-9066-0

Type

conf

DOI

10.1109/ECCTD.2005.1522911

Filename

1522911