Blind Channel Identification for MIMO Single Carrier Zero Padding Block Transmission Systems

We propose a blind identification method for MIMO single carrier zero padding block transmission systems. The method uses periodic preceding on the source signal before transmission. The estimation of channel impulse response matrix consists of two steps: (i) obtain the channel product matrix by solving a lower-triangular linear system and (ii) obtain the channel impulse response matrix by computing the positive eigenvalues and eigenvectors of a Hermitian matrix formed from the channel product matrix. A sufficient condition for identifiability is simply that the channel impulse response matrix is full column rank. The design of the precoding sequence to minimize the noise effect in covariance matrix estimation is proposed. Simulation examples are used to demonstrate the performance of the method

[1]  Hikmet Sari,et al.  Transmission techniques for digital terrestrial TV broadcasting , 1995, IEEE Commun. Mag..

[2]  Zhi Ding,et al.  Direct blind MMSE channel equalization based on second-order statistics , 2000, IEEE Trans. Signal Process..

[3]  Ralph E. Bach,et al.  Recursive inversion of externally defined linear systems by FIR filters , 1989 .

[4]  Justin P. Coon,et al.  A comparison of MIMO-OFDM and MIMO-SCFDE in WLAN environments , 2003, GLOBECOM '03. IEEE Global Telecommunications Conference (IEEE Cat. No.03CH37489).

[5]  Yonghong Zeng,et al.  Pilot cyclic prefixed single carrier communication: channel estimation and equalization , 2005, IEEE Signal Processing Letters.

[6]  Philippe Loubaton,et al.  MIMO blind second-order equalization method and conjugate cyclostationarity , 1999, IEEE Trans. Signal Process..

[7]  Justin P. Coon,et al.  Adaptive frequency-domain equalization for single-carrier multiple-input multiple-output wireless transmissions , 2005, IEEE Transactions on Signal Processing.

[8]  Michael K. Ng,et al.  Fast inversion of triangular Toeplitz matrices , 2004, Theor. Comput. Sci..

[9]  P. Lancaster,et al.  The theory of matrices : with applications , 1985 .

[10]  Zhi Ding,et al.  Blind MIMO channel identification from second order statistics using rank deficient channel convolution matrix , 2003, IEEE Trans. Signal Process..

[11]  Zhi Ding Matrix outer-product decomposition method for blind multiple channel identification , 1997, IEEE Trans. Signal Process..

[12]  Anna Scaglione,et al.  Redundant filterbank precoders and equalizers. I. Unification and optimal designs , 1999, IEEE Trans. Signal Process..

[13]  Philippe Loubaton,et al.  MIMO channel blind identification in the presence of spatially correlated noise , 2002, IEEE Trans. Signal Process..

[14]  Zhi Ding,et al.  Blind Equalization and Identification , 2001 .

[15]  Philippe Loubaton,et al.  Blind channel and carrier frequency offset estimation using periodic modulation precoders , 2000, IEEE Trans. Signal Process..

[16]  Yi-Sheng Chen,et al.  Blind Identification of MIMO Channels in Zero Padding Block Transmission Systems , 2007, IEEE Transactions on Signal Processing.

[17]  Georgios B. Giannakis,et al.  OFDM or single-carrier block transmissions? , 2004, IEEE Transactions on Communications.

[18]  Jwo-Yuh Wu,et al.  Blind identification with periodic modulation: a time-domain approach , 2002, IEEE Trans. Signal Process..

[19]  Ruey-Wen Liu,et al.  General approach to blind source separation , 1996, IEEE Trans. Signal Process..

[20]  Georgios B. Giannakis,et al.  Optimality of single-carrier zero-padded block transmissions , 2002, 2002 IEEE Wireless Communications and Networking Conference Record. WCNC 2002 (Cat. No.02TH8609).

[21]  Georgios B. Giannakis,et al.  Cyclic prefixing or zero padding for wireless multicarrier transmissions? , 2002, IEEE Trans. Commun..

[22]  Justin P. Coon,et al.  Channel and noise variance estimation and tracking algorithms for unique-word based single-carrier systems , 2004, ISWCS.

[23]  Ta-Sung Lee,et al.  Periodic-modulation based blind channel identification for single-carrier block transmission with frequency-domain equalization , 2005, IEEE 6th Workshop on Signal Processing Advances in Wireless Communications, 2005..

[24]  Philippe Loubaton,et al.  Blind channel identification and equalization using periodic modulation precoders: performance analysis , 2000, IEEE Trans. Signal Process..

[25]  M. Moonen,et al.  Semi-blind channel estimation for block transmissions with non-zero padding , 2001, Conference Record of Thirty-Fifth Asilomar Conference on Signals, Systems and Computers (Cat.No.01CH37256).

[26]  Yi-Sheng Chen,et al.  Blind-Channel Identification for MIMO Single-Carrier Zero-Padding Block-Transmission Systems , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[27]  Georgios B. Giannakis,et al.  Blind channel identification and equalization with modulation-induced cyclostationarity , 1998, IEEE Trans. Signal Process..

[28]  Nicholas J. Highham A survey of condition number estimation for triangular matrices , 1987 .

[29]  Yonghong Zeng,et al.  A semi-blind channel estimation method for multiuser multiantenna OFDM systems , 2004, IEEE Transactions on Signal Processing.

[30]  Karim Abed-Meraim,et al.  Blind system identification , 1997, Proc. IEEE.

[31]  Yi-Sheng Chen,et al.  Blind Identification of MIMO Channels Using Optimal Periodic Precoding , 2007, IEEE Transactions on Circuits and Systems I: Regular Papers.

[32]  Luc Deneire,et al.  Training sequence versus cyclic prefix-a new look on single carrier communication , 2001, IEEE Communications Letters.

[33]  David Falconer,et al.  Frequency domain equalization for single-carrier broadband wireless systems , 2002, IEEE Commun. Mag..

[34]  Georgios B. Giannakis,et al.  Signal processing advances in wireless and mobile communications , 2000, IEEE Signal Process. Mag..

[35]  Marc Moonen,et al.  A stochastic method for training based channel identification , 2003, Seventh International Symposium on Signal Processing and Its Applications, 2003. Proceedings..

[36]  H. Bolcskei,et al.  Blind channel estimation in spatial multiplexing systems using nonredundant antenna precoding , 1999, Conference Record of the Thirty-Third Asilomar Conference on Signals, Systems, and Computers (Cat. No.CH37020).

[37]  Shuichi Ohno Performance of zero-forcing equalizers for single-carrier zero-padded transmissions over multipath fading channels , 2004, 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing.