A proposal for toeplitz matrix calculations
Studies in Applied Mathematics
Practical methods of optimization; (2nd ed.)
Practical methods of optimization; (2nd ed.)
Block conjugate gradient algorithms for adaptive filtering
Signal Processing
Introduction to Space-Time Wireless Communications
Introduction to Space-Time Wireless Communications
An efficient block adaptive decision feedback equalizer implemented in the frequency domain
IEEE Transactions on Signal Processing
Design and analysis of Toeplitz preconditioners
IEEE Transactions on Signal Processing
Analysis of conjugate gradient algorithms for adaptive filtering
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Adaptive conjugate gradient DFEs for wideband MIMO systems
IEEE Transactions on Signal Processing
ISWCS'09 Proceedings of the 6th international conference on Symposium on Wireless Communication Systems
Hi-index | 0.08 |
In this paper, a new block adaptive filtering algorithm, based on the conjugate gradient (CG) method of optimization, is proposed. A Toeplitz approximation of the auto-correlation matrix is used for the estimation of the gradient vector and the involved quantities are updated on a block by block basis. Due to this formulation, the algorithm can be efficiently implemented in the frequency domain (FD). To this end, recursive relations for the FD quantities updated on a block by block basis have been derived. Different ways of accelerating convergence based either on the use of a preconditioner or on an appropriate decoupling of the direction vector are described. The applicability of the new algorithm to adaptive linear equalization (LE) and decision feedback equalization (DFE) has been studied. The proposed LE and DFE algorithms exhibit superior convergence properties as compared to existing adaptive algorithms, offering significant savings in computational complexity.