TY - GEN
T1 - Second order blind equalization
T2 - 1998 23rd IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 1998
AU - Ciblat, Ph
AU - Loubaton, Ph
PY - 1998/1/1
Y1 - 1998/1/1
N2 - Most of the second order based fractionally sampled blind equalizers are known to perform poorly in the context of band-limited signals. In this paper, we analyse the behaviour of the subspace method in the particular context of band-limited signals. As it is well known, the subspace channel estimate is obtained as the eigenvector associated to the eigenvalue 0 of a certain positive quadratic form Q. We show that apart from 0, Q has quite small eigenvalues, and that this induces poor statistical performance. More importantly, we characterize the numerical kernel of Q, and show that it contains vectors constructed from certain spheroidal wave sequences. From this, we deduce that the subspace method does not allow to estimate accurately the transfer function of the channel on a certain frequency interval.
AB - Most of the second order based fractionally sampled blind equalizers are known to perform poorly in the context of band-limited signals. In this paper, we analyse the behaviour of the subspace method in the particular context of band-limited signals. As it is well known, the subspace channel estimate is obtained as the eigenvector associated to the eigenvalue 0 of a certain positive quadratic form Q. We show that apart from 0, Q has quite small eigenvalues, and that this induces poor statistical performance. More importantly, we characterize the numerical kernel of Q, and show that it contains vectors constructed from certain spheroidal wave sequences. From this, we deduce that the subspace method does not allow to estimate accurately the transfer function of the channel on a certain frequency interval.
U2 - 10.1109/ICASSP.1998.679595
DO - 10.1109/ICASSP.1998.679595
M3 - Conference contribution
AN - SCOPUS:0031630713
SN - 0780344286
SN - 9780780344280
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - 3401
EP - 3404
BT - Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 1998
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 12 May 1998 through 15 May 1998
ER -