Variational Message-Passing for Joint Channel Estimation and Decoding in MIMO-OFDM

In this contribution, a multi-user receiver for M- QAM MIMO-OFDM operating in time-varying and frequency-selective channels is derived. The proposed architecture jointly performs semi-blind estimation of the channel weights and noise inverse variance, serial interference cancellation and decoding in an iterative manner. The scheme relies on a variational message-passing approach, which enables a joint design of all these functionalities or blocks but the last one. Decoding is performed using the sum-product algorithm. This is in contrast to nowadays proposed approaches in which all these blocks are designed and optimized individually. Simulation results show that the proposed receiver outperforms in coded bit-error-rate a state-of-the- art iterative receiver of same complexity, in which all blocks are designed independently. Joint block design and, as a result, the fact that the uncertainty in the channel estimation is accounted for in the proposed receiver explain this better performance.

[1]  M. Lundberg,et al.  On posterior distributions for signals in Gaussian noise with unknown covariance matrix , 2005, IEEE Transactions on Signal Processing.

[2]  Erwin Riegler,et al.  Merging Belief Propagation and the Mean Field Approximation: A Free Energy Approach , 2010, IEEE Transactions on Information Theory.

[3]  Charles M. Bishop,et al.  Variational Message Passing , 2005, J. Mach. Learn. Res..

[4]  Teng Joon Lim,et al.  The Variational Inference Approach to Joint Data Detection and Phase Noise Estimation in OFDM , 2007, IEEE Transactions on Signal Processing.

[5]  Justin Dauwels,et al.  On Variational Message Passing on Factor Graphs , 2007, 2007 IEEE International Symposium on Information Theory.

[6]  R. Koetter,et al.  Turbo equalization , 2004, IEEE Signal Processing Magazine.

[7]  Jibo Wei,et al.  Joint Symbol Detection and Channel Estimation for MIMO-OFDM Systems via the Variational Bayesian EM Algorithm , 2008, 2008 IEEE Wireless Communications and Networking Conference.

[8]  Christoph F. Mecklenbräuker,et al.  Iterative CDMA Multiuser Receiver With Soft Decision-Directed Channel Estimation , 2006, IEEE Transactions on Signal Processing.

[9]  Li Ping,et al.  The Factor Graph Approach to Model-Based Signal Processing , 2007, Proceedings of the IEEE.

[10]  Hagai Attias,et al.  A Variational Bayesian Framework for Graphical Models , 1999 .

[11]  John A. Tague,et al.  Expectations of useful complex Wishart forms , 1994, Multidimens. Syst. Signal Process..

[12]  Brendan J. Frey,et al.  Factor graphs and the sum-product algorithm , 2001, IEEE Trans. Inf. Theory.

[13]  Mauri Nissilä,et al.  Iterative receivers for digital communications via variational inference and estimation , 2008 .

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

[15]  Lars K. Rasmussen,et al.  A Divergence Minimization Approach to Joint Multiuser Decoding for Coded CDMA , 2008, IEEE Journal on Selected Areas in Communications.

[16]  H. Vincent Poor,et al.  Iterative (turbo) soft interference cancellation and decoding for coded CDMA , 1999, IEEE Trans. Commun..

[17]  Preben E. Mogensen,et al.  Interference Cancellation Based on Divergence Minimization for MIMO-OFDM Receivers , 2009, GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference.

[18]  A. Glavieux,et al.  Near Shannon limit error-correcting coding and decoding: Turbo-codes. 1 , 1993, Proceedings of ICC '93 - IEEE International Conference on Communications.

[19]  X. Jin Factor graphs and the Sum-Product Algorithm , 2002 .

[20]  Jan Larsen,et al.  On Data and Parameter Estimation Using the Variational Bayesian EM-Algorithm for Block-Fading Frequency-Selective MIMO Channels , 2006, 2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings.

[21]  Ralf R. Müller,et al.  Iterative channel estimation and data detection in frequency-selective fading MIMO channels , 2004, Eur. Trans. Telecommun..

[22]  Ralf R. Müller,et al.  Joint Twofold-Iterative Channel Estimation and Multiuser Detection for MIMO-OFDM Systems , 2008, IEEE Transactions on Wireless Communications.