Blind channel identification based on second-order statistics: a frequency-domain approach

In this communication, necessary and sufficient conditions are presented for the unique blind identification of possibly nonminimum phase channels driven by cyclostationary processes. Using a frequency domain formulation, it is first shown that a channel can be identified by the second-order statistics of the observation if and only if the channel transfer function does not have special uniformly spaced zeros. This condition leads to several necessary and sufficient conditions on the observation spectra and the channel impulse response. Based on the frequency-domain formulation, a new identification algorithm is proposed. >

[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]  Jitendra K. Tugnait On blind identifiability of multipath channels using fractional sampling and second-order cyclostationary statistics , 1995, IEEE Trans. Inf. Theory.

[3]  Jr. G. Forney,et al.  Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems , 1975 .

[4]  M. Morf,et al.  A generalized resultant matrix for polynomial matrices , 1976, 1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes.

[5]  B. Anderson,et al.  Greatest common divisor via generalized Sylvester and Bezout matrices , 1978 .

[6]  Y. Li,et al.  Blind channel identification based on second order cyclostationary statistics , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[7]  William A. Gardner,et al.  Characterization of cyclostationary random signal processes , 1975, IEEE Trans. Inf. Theory.

[8]  William A. Gardner,et al.  A new method of channel identification , 1991, IEEE Trans. Commun..

[9]  Lang Tong,et al.  Blind identification and equalization based on second-order statistics: a time domain approach , 1994, IEEE Trans. Inf. Theory.

[10]  A. Benveniste,et al.  Robust identification of a nonminimum phase system: Blind adjustment of a linear equalizer in data communications , 1980 .