Lower bound on training-based channel estimation error for frequency-selective block-fading Rayleigh MIMO channels

A lower bound on the error correlation matrix of training-based channel estimators is derived for multiple-input multiple-output (MIMO) systems over block-fading frequency-selective channels with symbol-spaced receivers. The bound is obtained in a constructive way by evaluating the asymptotic performance of an estimator that fully exploits the algebraic structure of the multipath channel. In particular, the estimator is assumed to be able to estimate the long-term features of the channel consistently (e.g., second order statistics of fading, delays, angles) while tracking the fast-varying fading fluctuations by Wiener filtering. Known estimators that are able to attain the bound under simplified settings are referred to, and general guidelines for designing novel estimators are discussed. Based on the simple analytical expression of the bound, the impact of channel estimation error on the link capacity is investigated for different system parameters and channel characteristics (e.g., Doppler shift, spatial correlation of fading). Numerical results are provided to corroborate the analysis.

[1]  Qinfang Sun,et al.  Estimation of continuous flat fading MIMO channels , 2002, 2002 IEEE Wireless Communications and Networking Conference Record. WCNC 2002 (Cat. No.02TH8609).

[2]  Arogyaswami Paulraj,et al.  Joint angle and delay estimation using shift-invariance techniques , 1998, IEEE Trans. Signal Process..

[3]  Ali Abdi,et al.  A space-time correlation model for multielement antenna systems in mobile fading channels , 2002, IEEE J. Sel. Areas Commun..

[4]  Jiunn-Tsair Chen,et al.  Multichannel MLSE equalizer with parametric FIR channel identification , 1999 .

[5]  Helmut Bölcskei,et al.  On the capacity of OFDM-based spatial multiplexing systems , 2002, IEEE Trans. Commun..

[6]  A. Paulraj,et al.  Adaptive transmitting antenna arrays with feedback , 1994, IEEE Signal Processing Letters.

[7]  Umberto Spagnolini,et al.  Reduced-rank channel estimation and tracking in time-slotted CDMA systems , 2002, 2002 IEEE International Conference on Communications. Conference Proceedings. ICC 2002 (Cat. No.02CH37333).

[8]  D. Cox,et al.  Correlation properties of MIMO radio channels for indoor scenarios , 2001, Conference Record of Thirty-Fifth Asilomar Conference on Signals, Systems and Computers (Cat.No.01CH37256).

[9]  Umberto Spagnolini,et al.  Multislot estimation of fast-varying space-time communication channels , 2003, IEEE Trans. Signal Process..

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

[11]  J. Rissanen.  Algorithms for triangular decomposition of block Hankel and Toeplitz matrices with application to factoring positive matrix polynomials , 1973 .

[12]  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.

[13]  Thomas L. Marzetta,et al.  BLAST training : Estimating Channel Characteristics for High-Capacity Space-Time Wireless , 1999 .

[14]  P. Constantinou,et al.  Characterization of randomly time variant linear channel-an application to directional radio channels , 2000, Proceedings of the Second International Symposium of Trans Black Sea Region on Applied Electromagnetism (Cat. No.00TH8519).

[15]  Georgios B. Giannakis,et al.  Space-time-frequency coded OFDM over frequency-selective fading channels , 2002, IEEE Trans. Signal Process..

[16]  P. Bello.  Characterization of Randomly Time-Variant Linear Channels , 1963 .

[17]  Harry L. Van Trees,et al.  Optimum Array Processing , 2002 .

[18]  K. Pedersen,et al.  A stochastic multiple-input-multiple-output radio channel model for evaluation of space-time coding algorithms , 2000, Vehicular Technology Conference Fall 2000. IEEE VTS Fall VTC2000. 52nd Vehicular Technology Conference (Cat. No.00CH37152).

[19]  Antti Toskala,et al.  Wcdma for Umts , 2002 .

[20]  Umberto Spagnolini,et al.  Angle and delay estimation of space-time channels for TD-CDMA systems , 2004, IEEE Transactions on Wireless Communications.

[21]  Richard D. Wesel,et al.  Multi-input multi-output fading channel tracking and equalization using Kalman estimation , 2002, IEEE Trans. Signal Process..

[22]  Ramakrishnan Janaswamy,et al.  Radiowave Propagation and Smart Antennas for Wireless Communications , 2000 .

[23]  Joseph M. Kahn,et al.  Fading correlation and its effect on the capacity of multielement antenna systems , 2000, IEEE Trans. Commun..

[24]  Wen-Hsien Fang,et al.  TST-MUSIC for joint DOA-delay estimation , 2001, IEEE Trans. Signal Process..

[25]  Anders Ahlén,et al.  Tracking of time-varying mobile radio channels .1. The Wiener LMS algorithm , 2001, IEEE Trans. Commun..

[26]  Umberto Spagnolini,et al.  Multi-slot estimation of space-time channels , 2002, 2002 IEEE International Conference on Communications. Conference Proceedings. ICC 2002 (Cat. No.02CH37333).

[27]  John M. Cioffi,et al.  Spatio-temporal coding for wireless communication , 1998, IEEE Trans. Commun..

[28]  A. Lee Swindlehurst,et al.  Time delay and spatial signature estimation using known asynchronous signals , 1998, IEEE Trans. Signal Process..

[29]  Josef A. Nossek,et al.  n performance limits of optimum reduced rank channel estimation , 2002, Global Telecommunications Conference, 2002. GLOBECOM '02. IEEE.

[30]  Muriel Médard,et al.  The effect upon channel capacity in wireless communications of perfect and imperfect knowledge of the channel , 2000, IEEE Trans. Inf. Theory.