On the performance of blind equalization using the second-order statistics

Equalization based on blind channel estimation using the second-order statistics has a rapid convergence rate and is potentially attractive in digital wireless communications. The asymptotic behavior of this type of approach is investigated. In particular, the achievable lower bounds of the asymptotic mean-square error (MSE) are derived to serve as benchmarks for a class of blind equalization algorithms using second-order statistics. It is shown that the convergence rate of these equalizers suffers when channels are ill-conditioned. Applying this analysis to systems using antenna arrays, the performance gain of multiple receivers over single receiver is evaluated analytically.

[1]  Lang Tong,et al.  A new approach to blind identification and equalization of multipath channels , 1991, [1991] Conference Record of the Twenty-Fifth Asilomar Conference on Signals, Systems & Computers.

[2]  Lang Tong,et al.  Blind channel estimation using the second-order statistics: algorithms , 1997, IEEE Trans. Signal Process..

[3]  Hui Liu,et al.  A deterministic approach to blind identification of multi-channel FIR systems , 1994, Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing.

[4]  Lang Tong,et al.  Blind identification and equalization of multipath channels , 1992, [Conference Record] SUPERCOMM/ICC '92 Discovering a New World of Communications.

[5]  Lang Tong,et al.  A deterministic approach to blind equalization , 1993, Proceedings of 27th Asilomar Conference on Signals, Systems and Computers.

[6]  Lang Tong,et al.  Blind channel identification based on second-order statistics: a frequency-domain approach , 1995, IEEE Trans. Inf. Theory.

[7]  Lang Tong,et al.  Blind channel estimation using the second-order statistics: asymptotic performance and limitations , 1997, IEEE Trans. Signal Process..

[8]  Eric Moulines,et al.  Subspace methods for the blind identification of multichannel FIR filters , 1995, IEEE Trans. Signal Process..

[9]  C. Richard Johnson,et al.  Averaging analysis of local stability of a real constant modulus algorithm adaptive filter , 1988, IEEE Trans. Acoust. Speech Signal Process..

[10]  Zhi Ding,et al.  Ill-convergence of Godard blind equalizers in data communication systems , 1991, IEEE Trans. Commun..

[11]  G. J. Foschini,et al.  Equalizing without altering or detecting data , 1985, AT&T Technical Journal.