Bayesian Sparse Channel Estimation and Data Detection for OFDM Communication Systems

Channel state information (CSI) is required at receiver in orthogonal frequency division modulation (OFDM) communication systems due to the fact that frequency-selective fading channel leads to inter- symbol interference (ISI) over data transmission. Broadband channel model is often described by very few dominant channel taps and they can be probed by sparse channel estimation (SCE) methods, e.g., subspace pursuit (SP) algorithm, can take the advantage of sparse structure effectively in broadband channels as for prior information. However, these developed methods are vulnerable to both noise, interference and column coherence of training signal matrix. In other words, the primary objective of these conventional methods is to catch the dominant channel taps without a report of posterior channel uncertainty. To improve the estimation performance, we proposed a Bayesian sparse channel estimation (BSCE) method which not only exploits the channel sparsity but also mitigates the unexpected channel uncertainty. The proposed method can reveal potential ambiguity among multiple channel estimators that are ambiguous due to observation noise or correlation interference among columns in the training matrix. Computer simulations show that our technique can improve the estimation performance with comparable computational complexity when comparing with conventional SCE methods.

[1]  Justin Ziniel,et al.  Fast bayesian matching pursuit , 2008, 2008 Information Theory and Applications Workshop.

[2]  Christian Jutten,et al.  A Fast Approach for Overcomplete Sparse Decomposition Based on Smoothed $\ell ^{0}$ Norm , 2008, IEEE Transactions on Signal Processing.

[3]  Joel A. Tropp,et al.  Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit , 2007, IEEE Transactions on Information Theory.

[4]  Deanna Needell,et al.  CoSaMP: Iterative signal recovery from incomplete and inaccurate samples , 2008, ArXiv.

[5]  Christian Jutten,et al.  Complex-valued sparse representation based on smoothed ℓ0 norm , 2008, 2008 IEEE International Conference on Acoustics, Speech and Signal Processing.

[6]  Emmanuel J. Candès,et al.  Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information , 2004, IEEE Transactions on Information Theory.

[7]  Aggelos K. Katsaggelos,et al.  Bayesian Compressive Sensing Using Laplace Priors , 2010, IEEE Transactions on Image Processing.

[8]  Philip Schniter,et al.  Fast Bayesian Matching Pursuit: Model Uncertainty and Parameter Estimation for Sparse Linear Models , 2009 .

[9]  Fumiyuki Adachi,et al.  Sparse Multipath Channel Estimation Using Compressive Sampling Matching Pursuit Algorithm , 2010, ArXiv.

[10]  Wei Peng,et al.  Fast Compressed Sensing-Based Sparse Multipath Channel Estimation with Smooth L0 Algorithm , 2011, 2011 Third International Conference on Communications and Mobile Computing.

[11]  S. Frick,et al.  Compressed Sensing , 2014, Computer Vision, A Reference Guide.

[12]  Holger Rauhut,et al.  Compressive Estimation of Doubly Selective Channels in Multicarrier Systems: Leakage Effects and Sparsity-Enhancing Processing , 2009, IEEE Journal of Selected Topics in Signal Processing.

[13]  A. Yongacoglu,et al.  Sparse channel estimation using orthogonal matching pursuit algorithm , 2004, IEEE 60th Vehicular Technology Conference, 2004. VTC2004-Fall. 2004.

[14]  Lawrence Carin,et al.  Bayesian Compressive Sensing , 2008, IEEE Transactions on Signal Processing.

[15]  Robert D. Nowak,et al.  Compressed Channel Sensing: A New Approach to Estimating Sparse Multipath Channels , 2010, Proceedings of the IEEE.