Optimal design and placement of pilot symbols for channel estimation

The problem of design and placing pilot symbols for the estimation of frequency selective random channels is considered. For both SISO and MIMO channels, the Cramer-Rao bound (CRB) on the mean square error of channel estimators is derived and minimized with respect to the pilot symbols and their placement. It is shown that placing pilot symbols, possibly in multiple clusters, in the middle of the data packet leads to minimum CRB.

[1]  Alfred O. Hero,et al.  Lower bounds for parametric estimation with constraints , 1990, IEEE Trans. Inf. Theory.

[2]  Lang Tong,et al.  Channel estimation and equalization with block interleavers , 2001, 2001 IEEE Third Workshop on Signal Processing Advances in Wireless Communications (SPAWC'01). Workshop Proceedings (Cat. No.01EX471).

[3]  A. Gualtierotti H. L. Van Trees, Detection, Estimation, and Modulation Theory, , 1976 .

[4]  Lang Tong,et al.  Detection with embedded known symbols: optimal symbol placement and equalization , 2000, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100).

[5]  Ehud Weinstein,et al.  A general class of lower bounds in parameter estimation , 1988, IEEE Trans. Inf. Theory.

[6]  Lang Tong,et al.  Optimal Embedding of Known Symbols , 2000 .

[7]  Khaled Ben Letaief,et al.  Complex optimal sequences with constant magnitude for fast channel estimation initialization , 1998, IEEE Trans. Commun..

[8]  R. C. Heimiller,et al.  Phase shift pulse codes with good periodic correlation properties , 1961, IRE Trans. Inf. Theory.

[9]  Branislav M. Popovic,et al.  Generalized chirp-like polyphase sequences with optimum correlation properties , 1992, IEEE Trans. Inf. Theory.

[10]  Fuyun Ling Optimal reception, performance bound, and cutoff rate analysis of references-assisted coherent CDMA communications with applications , 1999, IEEE Trans. Commun..

[11]  Y. Jay Guo,et al.  Optimal sequences for channel estimation using discrete Fourier transform techniques , 1999, IEEE Trans. Commun..

[12]  Lang Tong,et al.  Channel estimation for space-time orthogonal block codes , 2002, IEEE Trans. Signal Process..

[13]  Georgios B. Giannakis,et al.  Optimal training and redundant precoding for block transmissions with application to wireless OFDM , 2002, IEEE Trans. Commun..

[14]  D. Slock,et al.  Cramer-Rao bounds for semi-blind, blind and training sequence based channel estimation , 1997, First IEEE Signal Processing Workshop on Signal Processing Advances in Wireless Communications.

[15]  Lang Tong,et al.  Optimal Placement of Known Symbols for Nonergodic Broadcast Channels , 2002 .

[16]  Babak Hassibi,et al.  How much training is needed in multiple-antenna wireless links? , 2003, IEEE Trans. Inf. Theory.

[17]  Elisabeth De Carvalho,et al.  Semi-blind methods for FIR multichannel estimation , 2000 .

[18]  R. Negi,et al.  Pilot Tone Selection For Channel Estimation In A Mobile Ofdm System * , 1998, International 1998 Conference on Consumer Electronics.