Title
Reduced-rank equalization for EDGE via conjugate gradient implementation of multi-stage nested Wiener filter
Abstract
The Wiener filter solves the Wiener-Hopf equation and may be approximated by the multi-stage nested Wiener filter (MSNWF) which lies in the Krylov subspace of the covariance matrix of the observation and the cross-correlation vector between the observation and the desired signal. Moreover, since the covariance matrix is Hermitian, the Lanczos algorithm can be used to compute the Krylov subspace basis. The conjugate gradient (CG) method is another approach to solving a system of linear equations. We derive the relationship between the CG method and the Lanczos based MSNWF and finally transform the formulas of the MSNWF into those of the CG algorithm. Consequently, we present a CG based MSNWF where the filter weights and the mean square error (MSE) are updated at each iteration step. The resulting algorithm is used for linear equalization of the received signal in an enhanced data rates for GSM evolution (EDGE) system. Simulation results demonstrate the ability of the MSNWF to reduce receiver complexity while maintaining the same level of system performance
Year
DOI
Venue
2001
10.1109/VTC.2001.956534
Vehicular Technology Conference, 2001. VTC 2001 Fall. IEEE VTS 54th
Keywords
Field
DocType
Hermitian matrices,Wiener filters,cellular radio,conjugate gradient methods,correlation methods,covariance matrices,equalisers,mean square error methods,EDGE,Hermitian matrix,Krylov subspace,Lanczos algorithm,Wiener-Hopf equation,conjugate gradient method,covariance matrix,cross-correlation vector,enhanced data rates for GSM evolution,filter weights,mean square error,multi-stage nested Wiener filter,reduced-rank equalization
Krylov subspace,Conjugate gradient method,Wiener filter,Lanczos resampling,System of linear equations,Mathematical analysis,Algorithm,Lanczos algorithm,Electronic engineering,Covariance matrix,Hermitian matrix,Mathematics
Conference
Volume
ISSN
ISBN
3
1090-3038
0-7803-7005-8
Citations 
PageRank 
References 
9
0.92
1
Authors
3
Name
Order
Citations
PageRank
Guido Dietl112715.21
Michael D. Zoltowski253457.84
M. Joham344525.54