Joint channel and symbol estimation by oblique projections

The problem of simultaneous blind channel and symbol estimation of a single-input multiple-output (SIMO) communication channel is considered. It is shown that the outer product of the channel vector and the channel input sequence can be obtained by a linear estimator that has the finite sample convergence property. Furthermore, this estimator can be obtained by the use of oblique projections. An order detection algorithm that avoids the use of subjective thresholding is also proposed. Applications to multiuser detection are also considered.

[1]  Sabine Van Huffel,et al.  Total least squares problem - computational aspects and analysis , 1991, Frontiers in applied mathematics.

[2]  H. Vincent Poor,et al.  Blind equalization and multiuser detection in dispersive CDMA channels , 1998, IEEE Trans. Commun..

[3]  Marc Moonen,et al.  Two deterministic blind channel estimation algorithms based on oblique projections , 2000, Signal Process..

[4]  Thomas Kailath,et al.  Detection of signals by information theoretic criteria , 1985, IEEE Trans. Acoust. Speech Signal Process..

[5]  Upamanyu Madhow,et al.  Blind adaptive multiuser detection , 1995, IEEE Trans. Inf. Theory.

[6]  David Gesbert,et al.  On the equivalence of blind equalizers based on MRE and subspace intersections , 1999, IEEE Trans. Signal Process..

[7]  L. Tong,et al.  Multichannel blind identification: from subspace to maximum likelihood methods , 1998, Proc. IEEE.

[8]  Lang Tong,et al.  Joint order detection and blind channel estimation by least squares smoothing , 1999, IEEE Trans. Signal Process..

[9]  Lang Tong,et al.  Adaptive blind channel estimation by least squares smoothing , 1999, IEEE Trans. Signal Process..

[10]  David Gesbert,et al.  On-line blind multichannel equalization based on mutually referenced filters , 1997, IEEE Trans. Signal Process..

[11]  Rolf Johannesson,et al.  Algebraic methods for signal processing and communications coding , 1995 .

[12]  Louis L. Scharf,et al.  Signal processing applications of oblique projection operators , 1994, IEEE Trans. Signal Process..

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

[14]  Arogyaswami Paulraj,et al.  A subspace approach to blind space-time signal processing for wireless communication systems , 1997, IEEE Trans. Signal Process..

[15]  K. S. Banerjee.  Generalized Inverse of Matrices and Its Applications , 1973 .

[16]  Georgios B. Giannakis,et al.  Multirate filter banks for code-division multiple access systems , 1995, 1995 International Conference on Acoustics, Speech, and Signal Processing.

[17]  T. Kailath,et al.  A least-squares approach to blind channel identification , 1995, IEEE Trans. Signal Process..

[18]  Alan J. Mayne,et al.  Generalized Inverse of Matrices and its Applications , 1972 .

[19]  Dirk T. M. Slock,et al.  Blind fractionally-spaced equalization, perfect-reconstruction filter banks and multichannel linear prediction , 1994, Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing.