Transceiver Design for Dual-Hop Nonregenerative MIMO-OFDM Relay Systems Under Channel Uncertainties

Sch. of Inf. & Electron., Beijing Inst. of Technol., Beijing, China
IEEE Transactions on Signal Processing (Impact Factor: 2.79). 01/2011; 58(12):6325 - 6339. DOI: 10.1109/TSP.2010.2070797
Source: arXiv


In this paper, linear transceiver design for dual-hop nonregenerative [amplify-and-forward (AF)] MIMO-OFDM systems under channel estimation errors is investigated. Second order moments of channel estimation errors in the two hops are first deduced. Then based on the Bayesian framework, joint design of linear forwarding matrix at the relay and equalizer at the destination under channel estimation errors is proposed to minimize the total mean-square-error (MSE) of the output signal at the destination. The optimal designs for both correlated and uncorrelated channel estimation errors are considered. The relationship with existing algorithms is also disclosed. Moreover, this design is extended to the joint design involving source precoder design. Simulation results show that the proposed design outperforms the design based on estimated channel state information only.

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Available from: T.s. Ng, Nov 25, 2014
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    • "The extension of the results in [6] to multi-hop MIMO relay systems with linear and decisionfeedback equalization receivers was investigated in [7] and [8], respectively. More recently, the design of MIMO relay systems with partial or imperfect CSIT at source and relay was considered in [9], [10]. "
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    ABSTRACT: In this paper, we propose a joint transceiver design for single-carrier frequency-domain equalization (SC-FDE) based multiple-input multiple-output (MIMO) relay systems. To this end, we first derive the optimal minimum mean-squared error linear and decision-feedback frequency-domain equalization filters at the destination along with the corresponding error covariance matrices at the output of the equalizer. Subsequently, we formulate the source and relay precoding matrix design problem as the minimization of a family of Schur-convex and Schur-concave functions of the mean-squared errors at the output of the equalizer under separate power constraints for the source and the relay. By exploiting properties of the error covariance matrix and results from majorization theory, we derive the optimal structures of the source and relay precoding matrices, which allows us to transform the matrix optimization problem into a scalar power optimization problem. Adopting a high signal-to-noise ratio approximation for the objective function, we obtain the global optimal solution for the power allocation variables. Simulation results illustrate the excellent performance of the proposed system and its superiority compared to conventional orthogonal frequency-division multiplexing based MIMO relay systems.
    IEEE Transactions on Wireless Communications 10/2012; 12(9). DOI:10.1109/TWC.2013.081413.121321 · 2.50 Impact Factor
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    • "as this case corresponds to a practical linear minimum mean square error (LMMSE) channel estimator [8]. "
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    ABSTRACT: In this paper, we investigate the robust transceiver design for dual-hop amplify-and-forward (AF) MIMO relay systems with Gaussian distributed channel estimation errors. Aiming at maximizing the mutual information under imperfect channel state information (CSI), source precoder at source and forwarding matrix at the relay are jointly optimized. Using some elegant attributes of matrix-monotone functions, the structures of the optimal solutions are derived first. Then based on the derived structure an iterative waterfilling solution is proposed. Several existing algorithms are shown to be special cases of the proposed solution. Finally, the effectiveness of the proposed robust design is demonstrated by simulation results.
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    • "Therefore, the optimization problem is much more complicated than the counterpart with prefect CSI. Indeed, as demonstrated by existing works, robust transceiver design for point-to-point or dual-hop relaying MIMO systems is much more complicated and challenging than its counterpart with perfect CSI [11], [13], [15], [16]. "
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    ABSTRACT: In this paper, linear transceiver design for multi-hop amplify-and-forward (AF) multiple-input multiple-out (MIMO) relaying systems with Gaussian distributed channel estimation errors is investigated. Commonly used transceiver design criteria including weighted mean-square-error (MSE) minimization, capacity maximization, worst-MSE/MAX-MSE minimization and weighted sum-rate maximization, are considered and unified into a single matrix-variate optimization problem. A general robust design algorithm is proposed to solve the unified problem. Specifically, by exploiting majorization theory and properties of matrix-variate functions, the optimal structure of the robust transceiver is derived when either the covariance matrix of channel estimation errors seen from the transmitter side or the corresponding covariance matrix seen from the receiver side is proportional to an identity matrix. Based on the optimal structure, the original transceiver design problems are reduced to much simpler problems with only scalar variables whose solutions are readily obtained by iterative water-filling algorithm. A number of existing transceiver design algorithms are found to be special cases of the proposed solution. The differences between our work and the existing related work are also discussed in detail. The performance advantages of the proposed robust designs are demonstrated by simulation results.
    IEEE Transactions on Signal Processing 11/2011; 61(5). DOI:10.1109/TSP.2013.2243439 · 2.79 Impact Factor
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